Exam 6: Series-Parallel Circuits

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    \text { Figure } 6 ' 3  -If  V<sub>R3</sub>=17 V in Figure  6-3 , what is the value of        P<sub>1</sub>  ?  Figure 63\text { Figure } 6 ' 3 -If VR3=17 V in Figure 6-3 , what is the value of P1 ?

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If four parallel 10 kΩ\mathrm { k } \Omega resistors are connected in series with a single 20 kΩ\mathrm { k } \Omega resistor and one of the parallel resistors opens, how does the voltage across the other parallel resistors change?

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Power in a series-parallel resistor circuit is dissipated as:

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    \text { Figure } 6 \text { '1 }  -If  R<sub>1</sub>=4.7 k \Omega , R<sub>2</sub>=3.3   \mathrm { k } \Omega  and  R<sub>3</sub>=1   \mathrm { k } \Omega  in Figure  6-1 , the total resistance equals________  Figure 6 ’1 \text { Figure } 6 \text { '1 } -If R1=4.7 kΩk \Omega , R2=3.3 kΩ\mathrm { k } \Omega and R3=1 kΩ\mathrm { k } \Omega in Figure 6-1 , the total resistance equals________

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    \text { Figure } 6 ^ { \prime } 2  -If  R<sub>1</sub>=50 \mathrm { k } \Omega  , R<sub>2</sub>=10 \mathrm { k } \Omega , R<sub>3</sub>=10 \mathrm { k } \Omega , R<sub>4</sub>=50 \mathrm { k } \Omega  and  R<sub>5</sub>=10  \mathrm { k } \Omega   in Figure  6-2 , what is the value of RT?  Figure 62\text { Figure } 6 ^ { \prime } 2 -If R1=50 kΩ\mathrm { k } \Omega , R2=10 kΩ\mathrm { k } \Omega , R3=10 kΩ\mathrm { k } \Omega , R4=50 kΩ\mathrm { k } \Omega and R5=10 kΩ\mathrm { k } \Omega in Figure 6-2 , what is the value of RT?

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Theveninʹs theorem provides a method for:

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    \text { Figure } 6 ' 3  -If a 10  \mathrm { k } \Omega  resistor is placed in parallel with R<sub>4</sub> in Figure 6-3, how will  V<sub>R4</sub>  change?  Figure 63\text { Figure } 6 ' 3 -If a 10 kΩ\mathrm { k } \Omega resistor is placed in parallel with R4 in Figure 6-3, how will VR4 change?

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    \text { Figure } 6 \text { '1 }  - R<sub>1</sub> is in series with the series combination  R<sub>2</sub> and  R<sub>3</sub> in Figure 6-1.  Figure 6 ’1 \text { Figure } 6 \text { '1 } - R1 is in series with the series combination R2 and R3 in Figure 6-1.

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If two resistors are in parallel, they drop the same Voltage.

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Two series 1 kΩ\mathrm { k } \Omega resistors are connected in parallel with a 2.2 kΩ\mathrm { k } \Omega resistor. If the voltage across one of the 1 kΩ\mathrm { k } \Omega resistors is 6 V, what is the voltage across the 2.2 kΩ\mathrm { k } \Omega resistor?

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Thevinizing a circuit creates an equivalent series circuit.

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In solving series-parallel circuits, the last and easiest to solve for is:

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    \text { Figure 6'4 }  -Refer to Figure 6-4. If R<sub>1</sub> is changed to  500 \Omega  , the Thevenin resistance and voltage would be:  Figure 6’4 \text { Figure 6'4 } -Refer to Figure 6-4. If R1 is changed to 500 Ω\Omega , the Thevenin resistance and voltage would be:

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    \text { Figure } 6 ' 3  -If the current is  1.2 mA in Figure  6-3 , what is the value of P<sub>T</sub>  ?  Figure 63\text { Figure } 6 ' 3 -If the current is 1.2 mA in Figure 6-3 , what is the value of PT ?

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A series-parallel circuit consists of resistors in both series and parallel.

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If a voltage divider consists of two 10 kΩ\mathrm { k } \Omega resistors, which one of these load resistors will change the output voltage the most?

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    \text { Figure } 6 ' 3  -If  V<sub>S</sub>=40 V and R<sub>3</sub> opens in Figure  6-3 , what is the value of  V<sub>R3</sub>  ?  Figure 63\text { Figure } 6 ' 3 -If VS=40 V and R3 opens in Figure 6-3 , what is the value of VR3 ?

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    \text { Figure } 6 ' 3  -If  V<sub>R4</sub>=10 V  in Figure  6-3 , what is the value of  V<sub>AD</sub>  ?  Figure 63\text { Figure } 6 ' 3 -If VR4=10 V in Figure 6-3 , what is the value of VAD ?

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    \text { Figure } 6 ' 3  -If  V<sub>S</sub>=50 V  in Figure  6-3 , what is the value of V<sub>CA</sub> ?  Figure 63\text { Figure } 6 ' 3 -If VS=50 V in Figure 6-3 , what is the value of VCA ?

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    \text { Figure } 6 ' 3  -If a fifth 10  \mathrm { k } \Omega  resistor is connected in series in Figure 6-3, how does V<sub>R4</sub>  change?  Figure 63\text { Figure } 6 ' 3 -If a fifth 10 kΩ\mathrm { k } \Omega resistor is connected in series in Figure 6-3, how does VR4 change?

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