| Directions: In the following questions, a statement of Assertion [A] is followed by a statement of Reason (R). |
| Mark the correct choice as: |
| Assertion [A]: If the frequency of alternating current in an AC circuit consisting of an inductance coil is increased, then current gets decreased. |
| Reason (R): The current is inversely proportional to frequency of alternating current. |
A) Both Assertion [A] and Reason (R) are true and Reason (R) is the correct explanation of Assertion [A]
B) Both Assertion [A] and Reason (R) are true but Reason (R) is not the correct explanation of Assertion [A]
C) Assertion [A] is true but Reason (R) is false
D) Assertion [A] is false and Reason (R) is also false
Correct Answer: A
Solution :
(a) When frequency of alternating current is increased, the effective resistance of the inductive coil increases. Current \[\left( {{X}_{L}}=\omega L=2\pi fL \right)\] in the circuit containing inductor is given by \[l=\frac{V}{{{X}_{L}}}=\frac{V}{2\pi fL}\]. As inductive resistance of the inductor increases, current in the circuit decreases.
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