A circuit is constructed with five resistors and a battery as shown. The values

Question

A circuit is constructed with five resistors and a battery as shown. The values for the resistors are: R1 = R5 = 41 , R2 = 119 , R3 = 61 , and R4 = 125 . The battery voltage is V = 12 V.

1)

What is Rab, the equivalent resistance between points a and b?

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2)

What is Rac, the equivalent resistance between points a and c?

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3)

What is I5, the current that flows through resistor R5?A

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4)

What is I2, the current that flows through resistor R2?A

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5)

What is I1, the current that flows through the resistor R1?A

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6)

What is V4, the voltage across resistor R4?

V

Explanation / Answer

1) Rab = (R2 + R3)R4/(R2 + R3 + R4) = 180 x 125/(180 + 125) = 73.7704918 ohm

2) Rac = Rab + R1 = 114.7704918 ohm

3) Total resistance = Rac + R5 = 155.7704918 ohm

=> I5 = 12/155.7704918 = 0.077036413 A = 77.036413 mA

4) 180I2 = 125I4 => 180I2 = 125(I5-I2) => I2 = 0.0315723 A = 31.5723 mA

5) I1 = I5 = 77.036413 mA

6) V4 = I2(R2 + R3) = 5.683014 V

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