Question

A graph connecting the voltage generated by an a.c. source and time is shown.

1. What is the maximum voltage generated by the source?

2. Write the relation connecting voltage and time

3. This a.c. source, when connected to a resistor, produces 40J of heat per second. Find the equivalent d.c. voltage which will produce the same heat in this resistor.

Answer 1

1. 200 v.

2. V = V₀ sin ωt 

3. V_max = \(\frac{V_0}{\sqrt2}\) = \(\frac{200}{\sqrt{2}}\) = 141.8v.