Question

Assertion: In the purely resistive element of a series LCR, AC circuit the maximum value of rms current increases with increase in the angular frequency of the applied e.m.f.
Reason: $I_{max}=\frac{{\epsilon }_{max}}{z},z=\sqrt{R^2+{(\omega L-\frac{I}{\omega C})}^2}$
where $I_{max}$ is the peak current in a cycle.

• A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
• B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
• C. If Assertion is correct but Reason is incorrect.
• D. If Assertion is incorrect but Reason is correct.

Answer 1

The correct option is C If Assertion is correct but Reason is incorrect.

Solution:-

Given Assertion is correct i.e. value of current increases with increase in angular frequency of applied emf since it makes the impedence of circuit reduces to only resistance of resistor.

But the given reasn is incorrect since current becomes maximum due to decrease in impedence of circuit as inversely proportional to it (reduces to resistance).

$I_{max}=\frac{ϵ}{Z}$

But not due to maximum of applied voltage/emf.