Student Login

Home›Chapters›Electromagnetic Induction PYQs›Self-Inductance & Energy›Question 19

MHT CET 2026 (17 Apr, Shift 1) · Self-Inductance & Energy

Self-Inductance & Energy question from MHT CET 2026 (17 Apr, Shift 1)

Q19MHT CET 2026 · 17 APR · SHIFT 1Medium

Self-Inductance & Energy

Two coils have self inductance $L_1$ and $L_2$ . The current through them is increasing at constant rate. If the power dissipated in both the coils is same, then the ratio of energy stored in the coil having inductance $L_1$ to that in $L_2$ is

Show answer and solution

Answer: (d)

$P = L I \dfrac{dI}{dt}$ ; equal $P$ and equal rate give $L_1 I_1 = L_2 I_2$ , so $\dfrac{I_1}{I_2} = \dfrac{L_2}{L_1}$ .
$\dfrac{U_1}{U_2} = \dfrac{\tfrac12 L_1 I_1^2}{\tfrac12 L_2 I_2^2} = \dfrac{I_1}{I_2} = \dfrac{L_2}{L_1}$
So the answer is (d) $\dfrac{L_2}{L_1}$ .

Report a mistake

More questions on Self-Inductance & Energy

Inductance of a coil with 10⁴ turns is 10 mH and it is connected to a dc source of 10 V…JEE Main 2026 (22 Jan, Shift 1)
The plot of magnetic flux ' φ ' linked with the coil versus current ' I ' is as shown in…MHT CET 2025 (26 Apr, Shift 2)
When a current in the conducting coil is changed from 5 A in one direction to 5 A in…MHT CET 2025 (23 Apr, Shift 1)
A graph of magnetic flux (φ) versus current (I) is shown for four inductors P, Q, R, S…MHT CET 2025 (22 Apr, Shift 2)
The current flowing through an inductor of selfinductance L is continuously increasing at…MHT CET 2025 (20 Apr, Shift 1)
Regarding self-inductance: A. The self-inductance of the coil depends on its geometry. B…JEE Main 2025 (23 Jan, Shift 1)
A coil of wire of radius ' r ' has 600 turns and a self-inductance of 108 mH. The…MHT CET 2025 (25 Apr, Shift 2)
The self-inductance of a circuit is numerically equal toMHT CET 2025 (19 Apr, Shift 1)