Question

You take two resistors of resistance 2 R and 3R and connect them in parallel in an electric circuit. Calculate the ratio of electric power consumed by 2 R and 3R.

Answer 1

Step 1, Given Data

Two resistance of value, $=2Rand3R$

When resistors are connected in parallel, the potential difference across them will be equal.

Step 2, Finding the ratio

We know,

Power $=\frac{V^2}{R}$

Power of resistor with resistance 2R, $=\frac{V^2}{2R}=P_1$

Power of resistor with resistance 3R,$=\frac{V^2}{3R}=P_2$

Taking ratio of both power, $\frac{P_1}{P_2}=\frac{\frac{V^2}{2R}}{\frac{V^2}{3R}}=\frac{3R}{2R}=\frac{3}{2}$

Hence, ratio of electric power consumed by 2 R and 3R, $=3:2$