Question

A resistor and capacitor is connected to $AC$ supply of $200V$, $50Hz$ an series. The current in circuit is $2A$. If power consumed in circuit is $100W$ the resistance in $AC$ circuit is

• A. $25\Omega$
• B. $125\Omega$
• C. $100\Omega$
• D. $150\Omega$

Answer 1

The correct option is A $25\Omega$

Given,

$f=50Hz$

$V_0=200V$

$I=2A$

$P=100W$

In an A.C, the capacitor does not consume any power,

So, the power consumed in the circuit is,

$P=I^{2}R$

$R=\frac{P}{I^2}=\frac{100}{2^2}$

$R=25\Omega$

The correct option is A.