A) \[{{\text{0}}^{\text{o}}}\]
B) \[\text{3}{{\text{0}}^{\text{o}}}\]
C) \[{{45}^{\text{o}}}\]
D) \[{{60}^{\text{o}}}\]
Correct Answer: A
Solution :
Impedance, \[Z=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}\] \[\therefore \] \[10=\sqrt{{{(10)}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}\] \[\Rightarrow \] \[100=100+{{({{X}_{L}}-{{X}_{C}})}^{2}}\] \[\Rightarrow \] \[{{X}_{L}}-{{X}_{C}}=0\] Let \[\text{o }\!\!|\!\!\text{ }\] is the phase difference between current and voltage \[\tan =\text{o }\!\!|\!\!\text{ =}\frac{{{X}_{L}}-{{X}_{C}}}{R}\] \[\therefore \] \[\tan \,o|=\frac{0}{R}\] \[\Rightarrow \] \[\text{o }\!\!|\!\!\text{ =}\,\text{0}\] [from Eq (i)]
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