In an A.C. circuit, containing an inductance and a capacitor in series, the current is found to be maximum when the value of the inductance is 0.5 henry and capacitance is 8 μF. The angular frequency of the input A.C. voltage must be equal to

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500 rad/sec

4000 rad/sec

5 x 105 rad/sec

5000 rad/sec

answer is A.

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Detailed Solution

For maximum current XL = XC∴ωL=1ωC or ω=1LC ω=10⋅5×8×10−6=500

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