Question

Consider the power dissipated by the two circuits in the video. The ratio of power dissipation in the parallel circuit to that in the series circuit is_______________.
A) 9
B) 3
C) 1
D) 1/9
E) 1/3

Answer 1

Answer:

A) 9

Explanation:

The power dissipation in a circuit can be estimated using any of the equations below:

P = V*I

P = V^2/R

P = I^2 * R

Where:

P is the power dissipated, I is the current that flows through the circuit, V is the potential difference, and R is the equivalent resistant. Therefore, using the parameters provided and one of the formulas above:

Power dissipated (parallel circuit) : Power dissipated (Series circuit) = 9:1 = 9

Answer 2

Answer:

D. 1/9

Explanation:

Firstly, draw the circuits, then you solve for resistance in series with the formula- R1 + R2... And in parallel- 1/R1 + 1/R2...

Then after getting your resistance, use the formula for power that relates with resistance and voltage.

This the ratio will be 1/9. The parallel circuit has 1/9 the resistance of the series circuit. Since the potential difference across the two circuits is the same, this implies that the parallel circuit will give out 9 times more power than the series circuit.