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Q.

An inductor of inductance of 1 mH, a capacitor of capacitance of 10 μF and a resistor resistance of 50 Ω are connected in series. The reactances of inductor and capacitor are same. The reactance of either of them will be

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a

10 Ω

b

3.2 Ω

c

30 Ω

d

100 Ω

answer is D.

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Detailed Solution

Given: ωL=1ωC⇒ω2=1LC

or      ω=110−3×10×10−6=110−8=104

XL=ωL=104×10−3=10 Ω

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