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Which of the following options is correc...

Which of the following options is correct with respect to the circuit diagram given below?

A

R = `400 Omega` , C = 0.5 `mu`F

B

R = 500 `Omega` , C = `1mu`F

C

R = 500 `Omega` , C = 1 `mu`F

D

R = 400 `Omega` , C = 0.1 `mu`F

Text Solution

Verified by Experts

The correct Answer is:
B
Circuit is in resonance,
`therefore` V = `V_R` = IR
`or` R = V / I = 100 / 0.2 = 500` Omega`
`X_L` = `V_L` / I = 400 / 0.2 = `2000 Omega` = `omega`L
`omega` = `1000 rads^(_1)`
Further, `X_L` = `X_C` = `2000 Omega` = 1 / `omega`C
`therefore` C = 1 / 2000`omega` = 0.5 `mu`F
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