JEE Main 2026 · 5 Apr · Shift 1 · Physics Q50

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PhysicsInteger+4 / -1Question 50 of 75

In the given circuit below inductance values of $L_1$ , $L_2$ and $L_3$ are same. The magnetic energy stored in the entire circuit is $(U_t)$ and that stored in the $L_2$ inductor is $(U_l)$ . $U_t/U_l$ is ________.
(Ignore the mutual inductance if any)

Current flows through L₁ and then splits between L₂ and L₃, which are in parallel, before recombining.

Your answer

Answer and worked solution

Official answer: 6

Currents. $L_1$ carries I. $L_2$ and $L_3$ are equal and in parallel, so each carries $I/2$ .

Energies.
$U_t=\tfrac12LI^2+2\cdot\tfrac12L\left(\tfrac I2\right)^2=\tfrac34LI^2,\qquad U_l=\tfrac12L\left(\tfrac I2\right)^2=\tfrac18LI^2.$

Ratio: $U_t/U_l=6$ .

Answer: 6

Topics:Energy in an inductor

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JEE Main 2026 · 5 Apr · Shift 1, Physics question 50