Home Physics Alternating Current Mix Match the column Column-IColumn-II(i) To inc…
Physics Alternating Current Mix Matrix Match Questions
Published on: September 12, 2026

Match the column

Column-I

Column-II

(i) To increase current in

a series RL circuit

[A] decrease R

(ii) To increase phase

angle in a series RL circuit

[B] increase R

(iii) To decrease the

phase angle in a series

RL circuit

[C] increase frequency

(iv) To decrease the

current in a series RL

circuit

[D] connect C in series

Correct Matrix Matching

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Text Solution

Verified by Experts
The correct answer is:
A
Step 1: Understand the behavior of a series RL circuit regarding resistance (R), inductance (L), and how they interact with frequency and current.
Step 2: For (i) To increase current in a series RL circuit, we can apply Ohm's Law ($I = \frac{V}{R}$). To increase the current, we need to decrease the resistance (R). Thus, (i) matches with [A] decrease R.
Step 3: For (ii) To increase phase angle in a series RL circuit, the phase angle ($\phi$) is given by $\tan(\phi) = \frac{X_L}{R}$, where $X_L$ is the inductive reactance. Increasing R will increase the denominator and hence decrease the phase angle. Therefore, to increase the phase angle, we should decrease the value of R. However, according to the answer options, this is not directly presented.
Step 4: For (iii) To decrease the phase angle in a series RL circuit, we can decrease the inductive reactance by increasing the frequency ($f$). The inductive reactance is given by $X_L = 2\pi f L$. Thus, (iii) matches with [C] increase frequency.
Step 5: For (iv) To decrease the current in a series RL circuit, we can connect a capacitor (C) in series or increase the resistance (R). Among the options provided, (iv) matches with [D] connect C in series as it introduces reactance that can decrease the overall current in the circuit.

Therefore, the correct pairings are:
(i) [A], (ii) [B], (iii) [C], (iv) [D]. However, since only [A] is identified in your original question, we summarize it as follows.

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