Published by:
CGP EDU Academic Team
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
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Let's analyze each option in Column-I and match it with the corresponding option in Column-II based on the principles of electrical circuits, specifically focusing on series RL circuits.
(i) To increase current in a series RL circuit:
In a series RL circuit, the current can be increased by decreasing resistance (R). According to Ohm's Law, $I = \frac{V}{R}$, if we decrease R while maintaining a constant voltage (V), the current (I) will increase.
Thus, the match is (i) - [A] decrease R.
(ii) To increase phase angle in a series RL circuit:
The phase angle \(\phi\) in a series RL circuit is given by $\tan(\phi) = \frac{X_L}{R}$, where $X_L$ is the inductive reactance. To increase the phase angle, we can increase the resistance R. Therefore, the match is (ii) - [B] increase R.
(iii) To decrease the phase angle in a series RL circuit:
Again using the relation $\tan(\phi) = \frac{X_L}{R}$, to decrease the phase angle, we should decrease the resistance R or increase the inductance (or frequency, since $X_L = 2\pi f L$). Increasing the frequency results in a reduction of effective impedance (phase angle). Hence, the match is (iii) - [C] increase frequency.
(iv) To decrease the current in a series RL circuit:
To decrease the current, we can increase resistance R or even connect a capacitor in series which will oppose the current flow further. Therefore, the match is (iv) - [D] connect C in series.
Final Matches:
(i) - [A]
(ii) - [B]
(iii) - [C]
(iv) - [D].
Based on the analysis, the correct answer option is A.
(i) To increase current in a series RL circuit:
In a series RL circuit, the current can be increased by decreasing resistance (R). According to Ohm's Law, $I = \frac{V}{R}$, if we decrease R while maintaining a constant voltage (V), the current (I) will increase.
Thus, the match is (i) - [A] decrease R.
(ii) To increase phase angle in a series RL circuit:
The phase angle \(\phi\) in a series RL circuit is given by $\tan(\phi) = \frac{X_L}{R}$, where $X_L$ is the inductive reactance. To increase the phase angle, we can increase the resistance R. Therefore, the match is (ii) - [B] increase R.
(iii) To decrease the phase angle in a series RL circuit:
Again using the relation $\tan(\phi) = \frac{X_L}{R}$, to decrease the phase angle, we should decrease the resistance R or increase the inductance (or frequency, since $X_L = 2\pi f L$). Increasing the frequency results in a reduction of effective impedance (phase angle). Hence, the match is (iii) - [C] increase frequency.
(iv) To decrease the current in a series RL circuit:
To decrease the current, we can increase resistance R or even connect a capacitor in series which will oppose the current flow further. Therefore, the match is (iv) - [D] connect C in series.
Final Matches:
(i) - [A]
(ii) - [B]
(iii) - [C]
(iv) - [D].
Based on the analysis, the correct answer option is A.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
In an -circuit, the inductive reactance is equal to the resistance of the circuit. An e.m.f. app…
In the circuit given below, what will be the reading of the voltmeter
In the circuit shown below, what will be the readings of the voltmeter and ammeter
A bulb and a capacitor are connected in series to a source of alternating current. If its frequency…
An alternating e.m.f. of angular frequency is applied across an inductance. The instantaneous powe…
The voltage of an ac source varies with time according to the equation where is in seconds and i…