Question

A resistor dissipates 1.80 W when the rms voltage of the emf is 9.50 V . Part A At what rms voltage will the resistor dissipate 11.5 W

Answer 1

To calculate the rms voltage at which the resistor will dissipate 11.5 W, use the formula P = (Vrms)^2/R. Rearrange the formula to solve for Vrms.

Step-by-step explanation:

To calculate the rms voltage at which the resistor will dissipate 11.5 W, we can use the formula for power, P = (Vrms)2/R, where P is the power, Vrms is the rms voltage, and R is the resistance.

First, let's calculate the resistance using the given power and rms voltage: R = Vrms2/P = (9.50 V)2/1.80 W = 49.8 ohms.

Now, we can rearrange the formula to solve for Vrms: Vrms = sqrt(P * R) = sqrt(11.5 W * 49.8 ohms) = 21.4 V.