Question

A $100\, \Omega$ resistance and a capacitor of $100\, \Omega$ reactance are connected in series across a $220\, V$ source. When the capacitor is $50\%$ charged, the peak value of the displacement current is

• A. 2.2 A
• B. 11 A
• C. 4.4 A
• D. $11 \sqrt{2} A$

Answer 1

Answer: (A)

2.2 A

Answer 2

$X_{c} = 100$
$R = 100$
$Z = \sqrt{\left(100\right)^{2} + \left(100\right)^{2}} = 100 \sqrt{2}$
$I = \frac{E}{Z} = \frac{220}{100\sqrt{2}} = \frac{2.2}{\sqrt{2}}$

$I_{0} = \sqrt{2} I$
$I_0= \frac{2.2}{\sqrt{2}} \times\sqrt{2}$
$I_0= 2.2\ A$

So, the correct option is (A): 2.2 A