A 400Ω resistor and 6μF capacitor are connected in parallel to a source of V rms ​ =220V and angular frequency 360rad/s. Find the current in the resistor and capacitor.

 

 Question:  100% NCERT covered from Particular Keyword.Explanations are 100% from NCERT | [Difficult level: hard] From NCERT NEET Derived Question.

A 400Ω resistor and 6μF capacitor are connected in parallel to a source of Vrms​=220V and angular frequency 360rad/s. Find the current in the resistor and capacitor.

A

0.55 A, 0.475 A

B

0.65 A, 0.726 A

C

0.55 A, 0.176 A

D

none of these

Correct option is A)

$\frac{1}{X_C}=C\omega =6\times 10^{-6}\times 360=2.16\times 10^{-3}$

$\frac{1}{Z}=\sqrt{\frac{1}{R^2}+(C\omega {)}^2)}$

$\frac{1}{Z}=$$\frac{1}{400}$

$I_{net}=220\times \frac{1}{Z}=220\times 10^{-3}\times 3.3=0.726;$

$I_R=\frac{220}{400}=0.55A$

$I_C=\sqrt{I_{net}^2-I_R^2}=\sqrt{(0.726{)}^2-(0.55{)}^2}=0.475A$