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 = 56 , R2 = 103 , R3 = 108 , and R4 = 138 . The battery voltage is V = 12 V.

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

_____

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

______

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

______A

4)

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

______A

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

_______A

6)What is V4, the voltage across resistor R4?

______V

Explanation / Answer

1) Rab = (R2+R3)*R4/(R2+R3+R4)

= (103 + 108)*138/(103 + 108 + 138)

= 83.43 ohms

2)Rac = Rab + R1

= 83.43 + 56

= 139.43 ohms

3)

Rnet = Rac + R5

= 139.43 + 56

= 195.43 ohms

I5 = V/Rnet

= 12/195.43

= 0.0614 A

4) I2 = I5*R4/(R2+R3+R4)

= 0.0614*138/(103 + 108 + 138)

= 0.0243 A

5) I4 = I5 - I2

= 0.0614 - 0.0243

= 0.0371

V4 = I4*R4

= 0.0371*138

= 5.12 volts

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