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Question

Question: If resistance of 100 W and inductance of 0.5 henry and capacitance of 10 × 10<sup>6</sup> farad are ...

If resistance of 100 W and inductance of 0.5 henry and capacitance of 10 × 106 farad are connected in series through 50 Hz A.C. supply, then impedance is -

A

1.8765 W

B

18.76 W

C

187.6 W

D

101.3 W

Answer

187.6 W

Explanation

Solution

R = 100 W

XL = 2pfL

XC = 12πfC\frac{1}{2\pi fC}

Z = R2+(XLXC)2\sqrt{R^{2} + (X_{L} - X_{C})^{2}}