Question

The output voltage of a power supply is V = Vo Sin (120t). At t = 0.01 s, the output voltage is 4.2 V. What is the rms voltage of the generator? (remember to set your calculator on radian mode)

Answer 1

3.18 V

Step-by-step explanation:

RMS voltage of a generator is given by:

`V_(rms)=(1)/(\sqrt 2)V_o`

Given:

Output voltage at t =0.01 s is 4.2 V

`V = V_o sin (120t)\\ 4.2 = V_o sin (120 * 0.01) \\ V_o = 4.5 V`

`V_(rms)=(1)/(\sqrt 2)4.5 V = 3.18 V`