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 = 71 , R2 = 139 , R3 = 101 , and R4 = 124 . The battery voltage is V = 12 V.

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

Answer: ...............

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

Answer: ..............

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

Answer: ..............A

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

Answer: .................A

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

Answer: .............A

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

Answer: ...............V

Explanation / Answer

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

= (139 + 101)*124/(139 + 101 + 124)

= 81.76 ohms

2) Rac = Rab + R1

= 81.76 + 71

= 152.76 ohms

3) Rnet = Rac + 71

= 233.76 ohms

I5 = V/Rnet

= 12/223.76

= 0.0536 A

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

= 0.0536*124/(139 + 101+124)

= 0.0183 A

5) I1 = I5 = 0.0536 A

6) I4 = I5 - I2

= 0.0536 - 0.0183

= 0.0353 A

V4 = I4*R4

= 0.0353*124

= 4.38 volts

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