Two resistors of values 6 and 11 Ω are connected in parallel.This combination in turn is hooked in series with a 4-Ω resistor and a 22-V battery.What is the current in the 4-Ω resistor?
A) 88 A
B) 2.8 A
C) 1 A
D) 5.5 A
E) 173.8 A

Question

Two resistors of values 6 and 11 Ω are connected in parallel.This combination in turn is hooked in series with a 4-Ω resistor and a 22-V battery.What is the current in the 4-Ω resistor?
A) 88 A
B) 2.8 A
C) 1 A
D) 5.5 A
E) ​173.8 A

Quizplus · Accepted Answer

The equivalent resistance of the two resistors in parallel is 6 * 11 / (6 + 11) = 66 / 17 Ω. The total resistance of the circuit is 66 / 17 + 4 = 106 / 17 Ω. The current in the circuit is 22 / (106 / 17) = 374 / 106 A. The current in the 4-Ω resistor is 374 / 106 * 4 = 2.8 A.

Two Resistors of Values 6 and 11 Ω Are Connected