A) \[\sqrt{R+2{{\pi }^{2}}{{f}^{2}}{{L}^{2}}}\]
B) \[\sqrt{R+4{{\pi }^{2}}{{f}^{2}}{{L}^{2}}}\]
C) \[\sqrt{{{R}^{2}}+4{{\pi }^{2}}{{f}^{2}}{{L}^{2}}}\]
D) \[\sqrt{{{R}^{2}}+2{{\pi }^{2}}{{f}^{2}}{{L}^{2}}}\]
Correct Answer: B
Solution :
In L-R circuit, impedance \[Z=\sqrt{{{R}^{2}}+X_{L}^{2}}\] Here, \[{{X}_{L}}=\omega L=2\pi \,fL\] \[\therefore \] \[Z=\sqrt{{{R}^{2}}+4{{\pi }^{2}}{{f}^{2}}{{L}^{2}}}\]You need to login to perform this action.
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