Assertion: If the frequency of alternating current in an `AC` circuit consisting of an inductance coil is increased then current gets decreased.
Reason: The current is inversely proportional to frequency of alternating current.

Options

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false

Answer

A

Explanation

When frequency of alternating current is increased, the effective resistance of the inductive coil increases. Current `(X_(L) = omega L = 2 pi f L)` in the circuit containing inductor is given by `I = (V)/( X_(L)) = (V)/(2 pi f L)` As inductive resistance of the inductor increases, current in the circuit decreases.