A) current leads the potential difference in phase by \[90{}^\circ \]
B) current lags behind the potential difference in phase by \[45{}^\circ \]
C) current leads the potential difference in phase by \[45{}^\circ \]
D) current and potential difference are in same phase
Correct Answer: B
Solution :
In an A.C. R-L circuit, the potential difference \[({{V}_{R}})\]across resistor is m phase with current (f) and potential difference\[({{V}_{L}})\]across inductor leads the current (i) in phase by \[90{}^\circ \]. Let V be the resultant of \[{{V}_{L}}\] and \[{{V}_{R}}\] and \[\phi \] is the angle between resultant potential difference and current. \[\therefore \] \[\tan \,\phi =\frac{{{X}_{L}}}{R}\] \[\tan \,\phi =\frac{100}{100}=1\Rightarrow \phi =45{}^\circ \] Therefore, current lags behind the potential difference by \[45{}^\circ \].You need to login to perform this action.
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