Question

In an a.c circuit, the rms voltage is $100 \sqrt{2} V$. Find the peak value of voltage and its mean value during a positive half cycle.

• A. $200 V , 127.4 V$
• B. $100 V , 127.4 V$
• C. $120 V , 150 V$
• D. $200 V , 150 V$

Answer 1

Answer: (A)

$E _{ v }=100 \sqrt{2} V , E _{0}=?, E _{ m }=?$
$E_{0}=\sqrt{2} E_{v}=\sqrt{2}(100 \sqrt{2})=200 V$
$E_{ m }=\frac{2 E _{0}}{\pi}=\frac{2 \times 200}{3.14}$
$=127.4 V$