A) \[R+2\pi fL\]
B) \[\sqrt{{{R}^{2}}+4{{\pi }^{2}}{{f}^{2}}{{L}^{2}}}\]
C) \[\sqrt{{{R}^{2}}+{{L}^{2}}}\]
D) \[\sqrt{{{R}^{2}}+2\pi fL}\]
Correct Answer: B
Solution :
Impedance of the circuit\[(Z)=\sqrt{{{R}^{2}}+X_{L}^{2}}\] \[=\sqrt{{{R}^{2}}+{{(L\omega )}^{2}}}\] \[=\sqrt{{{R}^{2}}+{{(L\cdot 2\pi f)}^{2}}}\] \[=\sqrt{{{R}^{2}}+4{{\pi }^{2}}{{f}^{2}}{{L}^{2}}}\]
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