The magnetic potential energy stored in certain inductor is 64 × 10⁻³ J, when the current in the inductor is 80 mA. This inductor is of inductance (a) 0.20 H (b) 2.0 H (c) 20 H (d) 200 H

Answer: (c). Energy in an inductor U = 1/2LI² ⇒ L = 2U/I². L = 2 × 64 × 10⁻³(80 × 10⁻³)² = 0.1286.4 × 10⁻³ L = 20 H So the answer is (c) 20 H.

The magnetic potential energy stored in certain inductor is 64 × 10⁻³… | MHT CET 2024 (9 May, Shift 2)

Q4MHT CET 2024 · 9 MAY · SHIFT 2Easy

Other: Induction & Displacement Current

The magnetic potential energy stored in certain inductor is $64 \times 10^{-3}\text{ J}$ , when the current in the inductor is 80 mA. This inductor is of inductance

Show answer and solution

Answer: (c)

Energy in an inductor $U = \frac{1}{2}LI^2 \Rightarrow L = \frac{2U}{I^2}$ .
$L = \frac{2 \times 64 \times 10^{-3}}{(80 \times 10^{-3})^2} = \frac{0.128}{6.4 \times 10^{-3}}$
$L = 20$ H
So the answer is (c) $20$ H.

Report a mistake

More questions on Other: Induction & Displacement Current

A parallel plate capacitor is charged by connecting it to a battery through a resistor…NEET 2024
A square loop PQRS having 10 turns, area 3.6 × 10⁻³ m² and resistance 100 Ω is slowly and…JEE Main 2024 (8 Apr, Shift 1)
A cylindrical magnetic rod has length 5 cm and diameter 1 cm. It has uniform…MHT CET 2023 (11 May, Shift 1)
The source of time varying magnetic field may be (A) a permanent magnet (B) an electric…JEE Main 2023 (13 Apr, Shift 1)
A horizontal wire of mass ' m ', length ' l ' and resistance ' R ' is sliding on the…MHT CET 2023 (14 May, Shift 1)
A metal conductor of length 1 m rotates vertically about one of its ends at an angular…MHT CET 2021 (20 Sep, Shift 2)
The magnetic dipole moment of a short magnetic dipole at a distant point along the…MHT CET 2019 (2 May, Shift 2)
A thin strip 10 cm long is on a U shaped wire of negligible resistance and it is…JEE Main 2019 (8 Apr, Shift 1)

Other: Induction & Displacement Current question from MHT CET 2024 (9 May, Shift 2)

More questions on Other: Induction & Displacement Current