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				</ml:define>
			</math>
			<rendering item-idref="17"/>
		</region>
		<region region-id="311" left="288" top="910.5" width="117.75" height="21.75" align-x="334.5" align-y="924" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="Z_max">I</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">μA</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.3684210526315788</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="microampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="18"/>
		</region>
		<region region-id="317" left="54" top="963" width="151.5" height="46.5" align-x="99.75" align-y="990" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="Z_min">I</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:minus/>
							<ml:id xml:space="preserve" subscript="in_min">V</ml:id>
							<ml:id xml:space="preserve" subscript="ZK">V</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve" subscript="Z">R</ml:id>
							<ml:parens>
								<ml:real>1.05</ml:real>
							</ml:parens>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="19"/>
		</region>
		<region region-id="316" left="288" top="976.5" width="107.25" height="21.75" align-x="332.25" align-y="990" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="Z_min">I</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">μA</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1.1904761904761905</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="microampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="20"/>
		</region>
		<region region-id="319" left="18" top="1053.75" width="369" height="18" align-x="18" align-y="1068" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="16">
						<inlineAttr line-through="false">Next, calculate the voltage divider reference resistor.</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="324" left="24" top="1119.75" width="228" height="18" align-x="24" align-y="1134" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="16">
						<inlineAttr line-through="false">Choose a standard value for R2.</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="323" left="282" top="1120.5" width="96" height="21.75" align-x="310.5" align-y="1134" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="2">R</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1.00</ml:real>
						<ml:id xml:space="preserve">kΩ</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="21"/>
		</region>
		<region region-id="327" left="24" top="1173" width="153" height="46.5" align-x="52.5" align-y="1200" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="1">R</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve" subscript="2">R</ml:id>
							<ml:parens>
								<ml:apply>
									<ml:minus/>
									<ml:id xml:space="preserve" subscript="out">V</ml:id>
									<ml:id xml:space="preserve" subscript="ZK">V</ml:id>
								</ml:apply>
							</ml:parens>
						</ml:apply>
						<ml:id xml:space="preserve" subscript="ZK">V</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="22"/>
		</region>
		<region region-id="328" left="288" top="1186.5" width="81" height="21.75" align-x="315" align-y="1200" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="1">R</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">kΩ</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>3.8</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kiloohm"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="23"/>
		</region>
		<region region-id="329" left="24" top="1251.75" width="267" height="18" align-x="24" align-y="1266" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="16">
						<inlineAttr line-through="false">Choose a standard 1% resistor for R1</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="330" left="66" top="1306.5" width="96" height="21.75" align-x="94.5" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="1">R</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>25.0</ml:real>
						<ml:id xml:space="preserve">kΩ</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="24"/>
		</region>
		<region region-id="243" left="30" top="1509.75" width="372.75" height="18" align-x="30" align-y="1524" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">
					<f family="Arial" charset="0" size="16">
						<inlineAttr line-through="false">Calculate the Power dissipated by the pass transistor</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="331" left="30" top="1563.75" width="327" height="18" align-x="30" align-y="1578" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="16">
						<inlineAttr line-through="false">Define a function that models the input voltage.</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="341" left="30" top="1632" width="87.75" height="40.5" align-x="51" align-y="1656" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">T</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:real>1</ml:real>
						<ml:apply>
							<ml:mult/>
							<ml:real>120</ml:real>
							<ml:id xml:space="preserve">Hz</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="25"/>
		</region>
		<region region-id="340" left="150" top="1629" width="243" height="43.5" align-x="198.75" align-y="1656" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="in">V</ml:id>
						<ml:boundVars>
							<ml:id xml:space="preserve">t</ml:id>
						</ml:boundVars>
					</ml:function>
					<ml:apply>
						<ml:minus/>
						<ml:id xml:space="preserve" subscript="in_max">V</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:apply>
									<ml:minus/>
									<ml:id xml:space="preserve" subscript="in_max">V</ml:id>
									<ml:id xml:space="preserve" subscript="in_min">V</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve">T</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve">t</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="26"/>
		</region>
		<region region-id="344" left="30" top="1701.75" width="454.5" height="36" align-x="59.25" align-y="1716" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="16">
						<inlineAttr line-through="false">Calculate the average power dissipated by the BJT at max output current.</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="348" left="36" top="1761.75" width="271.5" height="55.5" align-x="97.5" align-y="1794" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="BJT_avg">P</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:div/>
							<ml:real>1</ml:real>
							<ml:id xml:space="preserve">T</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:integral auto-algorithm="true" algorithm="adaptive"/>
							<ml:lambda>
								<ml:boundVars>
									<ml:id xml:space="preserve">t</ml:id>
								</ml:boundVars>
								<ml:apply>
									<ml:mult/>
									<ml:parens>
										<ml:apply>
											<ml:minus/>
											<ml:apply>
												<ml:id xml:space="preserve" subscript="in">V</ml:id>
												<ml:id xml:space="preserve">t</ml:id>
											</ml:apply>
											<ml:id xml:space="preserve" subscript="out">V</ml:id>
										</ml:apply>
									</ml:parens>
									<ml:id xml:space="preserve" subscript="out">I</ml:id>
								</ml:apply>
							</ml:lambda>
							<ml:bounds>
								<ml:apply>
									<ml:mult/>
									<ml:real>0</ml:real>
									<ml:id xml:space="preserve">sec</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve">T</ml:id>
							</ml:bounds>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="27"/>
		</region>
		<region region-id="347" left="366" top="1780.5" width="109.5" height="21.75" align-x="426" align-y="1794" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="BJT_avg">P</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">watt</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>8</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="28"/>
		</region>
		<region region-id="354" left="36" top="1877.25" width="160.5" height="15.75" align-x="36" align-y="1890" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="14">
						<inlineAttr line-through="false">The power to the output is </inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="353" left="240" top="1876.5" width="101.25" height="21.75" align-x="276" align-y="1890" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="out">P</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve" subscript="out">V</ml:id>
						<ml:id xml:space="preserve" subscript="out">I</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="29"/>
		</region>
		<region region-id="358" left="384" top="1876.5" width="92.25" height="21.75" align-x="418.5" align-y="1890" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="out">P</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">watt</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>12</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="30"/>
		</region>
		<region region-id="359" left="36" top="1935.75" width="238.5" height="18" align-x="36" align-y="1950" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="16">
						<inlineAttr line-through="false">Calculate the average input power</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="362" left="36" top="1983.75" width="220.5" height="55.5" align-x="91.5" align-y="2016" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="IN_avg">P</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:div/>
							<ml:real>1</ml:real>
							<ml:id xml:space="preserve">T</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:integral auto-algorithm="true" algorithm="adaptive"/>
							<ml:lambda>
								<ml:boundVars>
									<ml:id xml:space="preserve">t</ml:id>
								</ml:boundVars>
								<ml:apply>
									<ml:mult/>
									<ml:parens>
										<ml:apply>
											<ml:id xml:space="preserve" subscript="in">V</ml:id>
											<ml:id xml:space="preserve">t</ml:id>
										</ml:apply>
									</ml:parens>
									<ml:id xml:space="preserve" subscript="out">I</ml:id>
								</ml:apply>
							</ml:lambda>
							<ml:bounds>
								<ml:apply>
									<ml:mult/>
									<ml:real>0</ml:real>
									<ml:id xml:space="preserve">sec</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve">T</ml:id>
							</ml:bounds>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="31"/>
		</region>
		<region region-id="364" left="342" top="2002.5" width="111.75" height="21.75" align-x="396" align-y="2016" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="IN_avg">P</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">watt</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>20</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="32"/>
		</region>
		<region region-id="365" left="42" top="2081.25" width="259.5" height="15.75" align-x="42" align-y="2094" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="14">
						<inlineAttr line-through="false">Calculate the efficiency at full output power.</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="366" left="66" top="2151" width="96.75" height="46.5" align-x="100.5" align-y="2178" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Eff</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="out">P</ml:id>
						<ml:id xml:space="preserve" subscript="IN_avg">P</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="33"/>
		</region>
		<region region-id="367" left="252" top="2164.5" width="77.25" height="18.75" align-x="285" align-y="2178" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Eff</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">%</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>60</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="34"/>
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