Question

What will be the rms value of the voltage, if the sinusoidal value voltage is given as E = 100 sin 314 t applied across a resistor of resistance 15 ohms?

(a) 200 V

(b) 70.71 V

(c) 100 V

(d) 33.87 V

I got this question in homework.

I want to ask this question from AC Voltage Applied to a Resistor in section Alternating Current of Physics – Class 12

Answer 1

Right option is (b) 70.71 V

The best explanation: E = E0 sinωt.

Erms = \(\frac {E_0}{\sqrt {2}}\)

Erms = \(\frac {100}{\sqrt {2}}\)

Erms = 70.71 V