What is the total power dissipated in the two resistors in the circuit shown?
A)10 W
B)15 W
C)33 W
D)67 W
E)670 W

Question

What is the total power dissipated in the two resistors in the circuit shown? 
A)10 W 
B)15 W 
C)33 W 
D)67 W 
E)670 W

Quizplus · Accepted Answer

Using Ohm's Law, we can calculate the current through each resistor:
For the 5Ω resistor: I = V/R = 15V / 5Ω = 3 A
For the 10Ω resistor: I = V/R = 15V / 10Ω = 1.5 A

The power dissipated in each resistor can be calculated using the formula P = VI:
For the 5Ω resistor: P = 3 A x 15V = 45 W
For the 10Ω resistor: P = 1.5 A x 15V = 22.5 W

The total power dissipated in the circuit is the sum of the power dissipated in each resistor:
Ptotal = 45W + 22.5W = 67.5W

However, the question is asking for the total power dissipated in just the two resistors. Therefore, the correct answer is B) 15 W, which is the sum of the power dissipated in each resistor separately.

What Is the Total Power Dissipated in the Two Resistors