A) 2 V, 100 A
B) 100 V, 2A
C) 100 V, 100 A
D) none of these
Correct Answer: B
Solution :
Here, \[{{V}_{L}}={{V}_{C}}\] But in circuit they are opposite in phase so, they will cancel each other. Resultant potential difference = applied potential difference = 100 volt \[Z=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}\] \[=\sqrt{{{R}^{2}}+0}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(\therefore {{X}_{L}}={{X}_{C}})\] \[\therefore \] \[Z=R\] \[\therefore \] \[{{I}_{rms}}=\frac{{{V}_{rms}}}{Z}=\frac{{{V}_{rms}}}{R}=\frac{100}{50}=2\,\text{amp}\]
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