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Consider the following diagram, where V 1 = 15.0 V, V 2 = 12.5 V, R 1 = 79.0 m ?

ID: 2277996 • Letter: C

Question

Consider the following diagram, where V1 = 15.0 V, V2 = 12.5 V, R1 = 79.0 m?, and R2 = 20.0 m?.

The figure shows a simplified circuit diagram for an automobile. The equivalent resistor R represents the total electrical load due to spark plugs, lights, radio, fans, starter, rear window defroster, and the like in parallel. If R = 0.740 ?, find the current in each branch. (Take the positive direction to be up.)



What is the terminal voltage of the battery?
4      V


detailed answer please

IAlternator = 1      A IBattery = 2      A IResistor = 3      A Consider the following diagram, where V1 = 15.0 V, V2 = 12.5 V, R1 = 79.0 m?, and R2 = 20.0 m?. The figure shows a simplified circuit diagram for an automobile. The equivalent resistor R represents the total electrical load due to spark plugs, lights, radio, fans, starter, rear window defroster, and the like in parallel. If R = 0.740 ?, find the current in each branch. (Take the positive direction to be up.)

Explanation / Answer

Assume V1 gives i1, V2 gives I2 current in up direction:


loop 1:


V1-I1R1-V2+I2R2=0

15-I1*79*10^-3-12.5+I2*20*10^-3=0------------1

V2-(I1+I2)R-I2R2=0

12.5-(I1+I2)*0.740-I2*20*10^-3=0---------2

SOLVING 1 & 2


I2= - 11.52 A


I1= 28.72 A


2)

TERMINAL VOLTAGE= V2-I2*R2=12.5?(-11.52)