In the circuit shown in figure, X C =100 Ω, X L =200 Ω and R=100 Ω. The effective current through the source is

Question

In the circuit shown in figure, X C =100 Ω, X L =200 Ω and R=100 Ω. The effective current through the source is (A) 2 A (B) 2 √2 A (C) 0.5 A (D) √0.4 A

Tardigrade Admin · Accepted Answer

I R =(V/R) =(200/100)=2 A I prime =(V/X L -X C )=(200/100)=2 A I=√I R 2+I prime 2=2 √2 A <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/07eb40821715c9e65a08d4a7c03b149b-.png" />

Q. In the circuit shown in figure, $X_{C} = 100 Ω, X_{L} = 200 Ω$ and $R = 100 Ω$ . The effective current through the source is

$2 A$

$22 A$

$0.5 A$

$0.4 A$

$I_{R} = \frac{V}{R} = \frac{200}{100} = 2 A$
$I^{'} = \frac{V}{X _{L} - X _{C}} = \frac{200}{100} = 2 A$
$I = I_{R}^{2} + I^{'2} = 22 A$

Q. In the circuit shown in figure, XC​=100Ω,XL​=200Ω and R=100Ω. The effective current through the source is

2A

22​A

0.5A

0.4​A