A) \[0.07\,\,H\]
B) \[0.14\,\,H\]
C) \[0.28\,\,H\]
D) \[1.07\,\,H\]
Correct Answer: A
Solution :
The resistance of lamp\[R=\frac{V}{I}=\frac{15}{10}=1.5\Omega \] (Given: \[V=15\,\,volt\], \[I=10\,\,amp\], A.C. voltage \[=220\,\,V\], \[f=50Hz\]) 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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