A) \[0{}^\circ \]
B) \[30{}^\circ \]
C) \[45{}^\circ \]
D) \[60{}^\circ \]
Correct Answer: A
Solution :
Impedance, \[Z=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}\] \[\therefore \] \[10=\sqrt{{{(10)}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}\] \[\Rightarrow \] \[100=100+{{({{X}_{L}}-{{X}_{C}})}^{2}}\] \[\Rightarrow \] \[{{X}_{L}}-{{X}_{C}}=0\] ?(i) Let\[\phi \]is the phase difference between current and voltage \[\therefore \] \[\tan \phi =\frac{{{X}_{L}}-{{X}_{C}}}{R}\] \[\therefore \] \[\tan \phi =\frac{0}{R}\] \[\Rightarrow \] \[\phi =0\] [from Eq. (i)]
You need to login to perform this action.
You will be redirected in
3 sec
