Question

Assertion :When variable frequency a.c. source is connected to a capacitor, displacement current increases with increase in frequency. Reason: As frequency increases conduction current also increases.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

given : $\to$ Increase in frequency of variable a c source.

Approach

As the frequency increases inpedance of capacitator (i.e resistance of capacitator) decreases because

$X_c=\frac{1}{wc}=\frac{1}{2\pi fc}$

$w$ = angular frequency

$f$ = frequency

$c$ = capacitance

$X_c$ = impedance

as inpedance decreases conduction current increases

conduction current increases $⟺$

displacement current increases as conduction current = displacement current in case of capacitor.