If an AC main supply is given to be 220 V, then what would be the average e.m.f. during a positive half cycle?

Question

If an AC main supply is given to be 220 V, then what would be the average e.m.f. during a positive half cycle? (A) 198 V (B) 386 V (C) 256 V (D) None of these

Tardigrade Admin · Accepted Answer

V av =(2/π) V0 =(2/π) ×(V rms × √2)=(2 √2/π) ⋅ V rms =(2 √2/π) × 220=198 V

Q. If an $A C$ main supply is given to be $220 V$ , then what would be the average e.m.f. during a positive half cycle?

198 V

386 V

256 V

None of these

$V_{a v} = \frac{2}{π} V_{0}$
$= \frac{2}{π} \times (V_{r m s} \times 2) = \frac{2 2}{π} \cdot V_{r m s}$
$= \frac{2 2}{π} \times 220 = 198 V$

Q. If an AC main supply is given to be 220V, then what would be the average e.m.f. during a positive half cycle?