Two resistors of values 6.0 and 12.0 W are connected in parallel.This combination in turn is hooked in series with a 2.0-W resistor and a 24-V battery.What is the current in the 2-W resistor?
A)2.0 A
B)4.0 A
C)6.0 A
D)12 A

Question

Quizplus · Accepted Answer

First, we can find the total resistance of the parallel combination:
1/Rtotal = 1/6.0 + 1/12.0
Rtotal = 4.0 W

Then, we can find the total resistance of the entire circuit (including the 2.0 W resistor):
Rtotal = Rparallel + Rseries = 4.0 + 2.0 + 12.0 = 18.0 W

Using Ohm's Law, we can find the current in the circuit:
I = V/R = 24/18 = 4.0 A

Since the 2.0 W resistor is in series with the rest of the circuit, it also has a current of 4.0 A. Therefore, the answer is B) 4.0 A.

Two Resistors of Values 6