Consider the circuit shown in the figure.What power is dissipated by the entire circuit?
A)14 W
B)28 W
C)52 W
D)110 W

Question

Consider the circuit shown in the figure.What power is dissipated by the entire circuit? 
A)14 W 
B)28 W 
C)52 W 
D)110 W

Quizplus · Accepted Answer

First, we can calculate the equivalent resistance of the parallel resistors on the left side of the circuit:

1/(1/6+1/12+1/6) = 2 ohms

Then, we can calculate the total resistance of the circuit:

2 + 4 + 3 = 9 ohms

Using Ohm's Law (P=IV) and the total resistance, we can find the total power:

P = IV = (2A)(9ohms) = 18W

Finally, we add up the power dissipated in each resistor:

18W - (5W + 3W + 2W) = 8W

So, the answer is 8W x 2 branches = 16W. However, we have to take into account that resistors R2 and R5 are in parallel, so the power total is:

16W + (2A)^2 * (1/6 + 1/12) = 16W + 2W = 18W

But, R3 and R4 are also in parallel, so the final power is:

18W + (2A)^2 * (1/4) = 18W + 2W = 20W

Finally, the power dissipated by the entire circuit is 20W. Therefore, the best choice is C.

Consider the Circuit Shown in the Figure