Question

A 100 V peak a.c. is as effective as
d.c.
(i) 100 V
(ii) 50 V
(iii) 70.7 V
(iv) none of the above​

Answer 1

Answer:

Ac current = dc current × root

Dc = ac / root 2

Dc = 100 / 1.41 = 70.7 V

Answer 2

Answer:

iii) 70.7 V

Solution:

let, Vdc be the dc voltage.

V peak be the peak voltage or amplitude value of ac.

here, given in the question that

V peak = 100 V.

since, we already know that dc voltage is equal to the ac peak voltage divided by √2.

so, Vdc = V peak/√2

     Vdc = 100/√2

     Vdc =100/1.41

     Vdc = 70.7 V.

therefore, the dc voltage of the 100V peak ac voltage is 70.7 V.