Question

A $100\Omega$ resistor is connected to a $220V,50Hz$ AC supply. Find rms value of current in the circuit and the net power consumed for a complete cycle.

• A. $2.20A,484W$
• B. $3.20A,564W$
• C. $1.60A,278W$
• D. $5.80A,646W$

Answer 1

The correct option is A $2.20A,484W$

GIven: $V_{rms}=220V$
$\therefore i_{rms}=\frac{V_{rms}}{R}=\frac{220V}{100\Omega }=2.20A$
The power consumed for a complete cycle is:
$P=(i_{rms}{)}^{2}R=(2.20A{)}^2\times 100\Omega =484W$