A) 0.07 H
B) 0.14 H
C) 0.28H
D) 1.07H
Correct Answer: A
Solution :
The resistance or lamp \[R=\frac{V}{I}=\frac{15}{10}=1.5\,\Omega \] The impedance of circuit \[Z=\frac{V}{I}=\frac{220}{10}=22\,ohm\] Again impedance \[Z=\sqrt{{{R}^{2}}+{{\omega }^{2}}{{L}^{2}}}\] or \[22=\sqrt{{{(1.5)}^{2}}+{{(2\times \pi \times 50)}^{2}}{{L}^{2}}}\] or \[{{(22)}^{2}}={{(1.5)}^{2}}+4{{\pi }^{2}}\times {{50}^{2}}\times {{L}^{2}}\] or \[L=0.07\,henry\]
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