JEE Main · 2024 · 29 Jan 2024 · Shift 1 · Electromagnetic Induction

A capacitor of capacitance

100 μ F

is charged to a potential of 12 V and connected to a 6.4 mH inductor to produce oscillations. The maximum current in the circuit would be :

(A)3.2 A
(B)1.5 A✓ Correct
(C)2.0 A
(D)1.2 A

Answer: (B)

Solution

By energy conservation between the fully-charged capacitor and the fully-discharged (max current) states:

\frac{1}{2} C V^{2} = \frac{1}{2} L I_{ma x}^{2} ⟹ I_{ma x} = V \frac{C}{L}

I_{ma x} = 12 \frac{100 \times 1 0 ^{- 6}}{6.4 \times 1 0 ^{- 3}} = 12 0.015625 = 12 (0.125) = 1.5 A

Key confirmed: B.

JEE Main · 2024 · 29 Jan 2024 · Shift 1 · Single correct option

Practise more: all JEE Main PYQs on Electromagnetic Induction →

More JEE Main questions on Electromagnetic Induction

XPQY is a vertical smooth long loop having a total resistance R where PX is parallel to QY and separation between them is $l$ . A constant magnetic field B perpendicular to the plane of the loop exists in the entire space. A rod CD of length L ( $L > l$ ) and mass $m$ is made to sli …
JEE Main 2026View solution →
Three identical coils $C_{1}, C_{2}$ and $C_{3}$ are closely placed such that they share a common axis. $C_{2}$ is exactly midway. $C_{1}$ carries current $I$ in anti-clockwise direction while $C_{3}$ carries curre …
JEE Main 2026View solution →
Inductance of a coil with $1 0^{4}$ turns is 10 mH and it is connected to a dc source of 10 V with internal resistance of $10Ω$ . The energy density in the inductor when the current reaches $(\frac{1}{e})$ of its maximum value is …
JEE Main 2026View solution →
Figure shows the circuit that contains three resistances ( $9Ω$ each) and two inductors (4 mH each). The reading of ammeter at the moment switch $K$ is turned ON, is ______ A.
JEE Main 2026View solution →
A conducting circular loop is rotated about its diameter at a constant angular speed of $100 rad / s$ in a magnetic field of 0.5 T perpendicular to the axis of rotation. When the loop is rotated by $3 0^{\circ}$ from the horizontal position, the induced EMF is 15 …
JEE Main 2026View solution →
A capacitor C is first charged fully with potential difference of $V_{0}$ and disconnected from the battery. The charged capacitor is connected across an inductor having inductance L . In t s $25%$ of the initial energy in the capacitor is transferred to the induct …
JEE Main 2026View solution →