Exam 6: Series-Parallel Circuits

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In solving series-parallel circuits using Ohmʹs law, first solve for:

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

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

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A bridge circuitʹs resistances must all be of the same value to be in a balanced condition.

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The parallel combination of a 330 The parallel combination of a  330  resistor and a  470 \Omega   resistor is connected in series with the parallel combination of four  1 \mathrm { k } \Omega    resistors. If a  100 V source is connected across the circuit, then which resistor drops the most voltage? resistor and a 470 Ω\Omega resistor is connected in series with the parallel combination of four 1 kΩ\mathrm { k } \Omega resistors. If a 100 V source is connected across the circuit, then which resistor drops the most voltage?

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    \text { Figure } 6 \text { '1 }  -If  R<sub>1</sub>=10   \mathrm { k } \Omega , R<sub>2</sub>=15   \mathrm { k } \Omega  and  R<sub>3</sub>=50   \mathrm { k } \Omega  in Figure  6-1, RT  equals_____  Figure 6 ’1 \text { Figure } 6 \text { '1 } -If R1=10 kΩ\mathrm { k } \Omega , R2=15 kΩ\mathrm { k } \Omega and R3=50 kΩ\mathrm { k } \Omega in Figure 6-1, RT equals_____

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TheW heatstone bridge circuit isW idely used to measure:

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    \text { Figure } 6 ' 3  -What is the resistance between points  B and E in Figure  6-3  ?  Figure 63\text { Figure } 6 ' 3 -What is the resistance between points B and E in Figure 6-3 ?

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    \text { Figure } 6 \text { '1 }  -If  V<sub>S</sub>=25 V, R<sub>1</sub>=10  \mathrm { k } \Omega , R<sub>2</sub>=15  k \Omega  and R<sub>3</sub>=50  \mathrm { k } \Omega   in Figure  6-1 , I<sub>T</sub> equals_______  Figure 6 ’1 \text { Figure } 6 \text { '1 } -If VS=25 V, R1=10 kΩ\mathrm { k } \Omega , R2=15 kΩk \Omega and R3=50 kΩ\mathrm { k } \Omega in Figure 6-1 , IT equals_______

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    \text { Figure 6'4 }  -Refer to Figure 6-4. What approximate R<sub>1</sub> resistor value would it take to balance this bridge circuit?  Figure 6’4 \text { Figure 6'4 } -Refer to Figure 6-4. What approximate R1 resistor value would it take to balance this bridge circuit?

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    \text { Figure } 6 ' 3  -If  V<sub>R1</sub>=15 V  in Figure  6-3 , what is the value of V<sub>BD</sub> ?  Figure 63\text { Figure } 6 ' 3 -If VR1=15 V in Figure 6-3 , what is the value of VBD ?

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The parallel combination of a 330 The parallel combination of a  330   resistor and a  470   resistor is connected in series with the parallel combination of four  1  k \Omega   resistors. If a  100 V  source is connected across the circuit, then which resistor carries the most current? resistor and a 470 The parallel combination of a  330   resistor and a  470   resistor is connected in series with the parallel combination of four  1  k \Omega   resistors. If a  100 V  source is connected across the circuit, then which resistor carries the most current? resistor is connected in series with the parallel combination of four 1 kΩk \Omega resistors. If a 100 V source is connected across the circuit, then which resistor carries the most current?

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In a two-source circuit, one source alone produces 10 mA through a branch. If the other source alone produces 8 mA in the opposite direction through the same branch,W hat is the total current through the branch?

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A loaded voltage divider is a series-parallel circuit.

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    \text { Figure } 6 ^ { \prime } 2  -If  V<sub>S</sub>=15 V  and every resistor equals  2.2   k \Omega  in Figure 6-2, what is the value of  IR<sub>4</sub>  ?  Figure 62\text { Figure } 6 ^ { \prime } 2 -If VS=15 V and every resistor equals 2.2 kΩk \Omega in Figure 6-2, what is the value of IR4 ?

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    \text { Figure } 6 ^ { \prime } 2  -In Figure 6-2,  R<sub>3</sub> and  R<sub>4</sub>  are connected in_____________  Figure 62\text { Figure } 6 ^ { \prime } 2 -In Figure 6-2, R3 and R4 are connected in_____________

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    \text { Figure } 6 ^ { \prime } 2  -If  R<sub>3</sub> shorts in Figure 6-2,  V<sub>R5</sub> ______  Figure 62\text { Figure } 6 ^ { \prime } 2 -If R3 shorts in Figure 6-2, VR5 ______

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In the parallel portion of series-parallel circuits, the total resistance is:

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    \text { Figure } 6 \text { '1 }  - R<sub>2</sub> is in parallel with  R<sub>3</sub> in Figure 6-1.  Figure 6 ’1 \text { Figure } 6 \text { '1 } - R2 is in parallel with R3 in Figure 6-1.

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    \text { Figure 6'5 }  -Refer to Figure 6-5. Determine the amount of current flow through R<sub>2</sub> with the following component parameters.  V<sub>S1</sub>=10 V, V<sub>S2</sub>=3 V, R<sub>1</sub>=2 k, R<sub>2</sub>=3k , and  R<sub>3</sub>=700   Figure 6’5 \text { Figure 6'5 } -Refer to Figure 6-5. Determine the amount of current flow through R2 with the following component parameters. VS1=10 V, VS2=3 V, R1=2 k, R2=3k , and R3=700

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