Assertion (A): When capacitive reactance is less than the inductive reactance in a series LCR circuit, e.m.f. leads the current. |
Reason (R): The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan \[\varphi =\frac{{{\operatorname{X}}_{L}}-{{X}_{C}}}{\operatorname{R}}\]. |
A) Both A and R are true and R is the correct explanation of A
B) Both A and R are true but R is NOT the correct explanation of A
C) A is true but R is false
D) A is false and R is true
Correct Answer: A
Solution :
Option [a] is correct |
Explanation: The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan \[\varphi =\frac{{{\operatorname{X}}_{L}}-{{X}_{C}}}{\operatorname{R}}\]. |
If \[{{X}_{C}}<{{\operatorname{X}}_{L}}\], then tan\[\varphi \] is positive. \[\varphi \] is also positive. So, e.m.f. leads the current. |
Assertion and reason both are true. Reason properly explains the assertion. |
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