jee_main_2026_22_january_morning - Electromagnetic Induction Topics

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QUESTION #29 Motional EMF and Terminal Speed
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 slide down from rest under the gravity as shown in figure. The terminal speed acquired by the rod is \_\_\_\_ m/s. (g = acceleration due to gravity) {{IMG1}}
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QUESTION #45 Mutual Induction and Lenz's Law
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 current I in clockwise direction. An induced current flows through C_2 will be in clockwise direction when {{IMG1}}
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QUESTION #50 Energy Density in Inductor
Inductance of a coil with 10^4 turns is 10 mH and it is connected to a dc source of 10 V with internal resistance of 10~Omega. The energy density in the inductor when the current reaches left(frac1mathrmeright) of its maximum value is alpha pi times frac1mathrme^2 mathrm~J / mathrmm^3. The value of alpha is \_\_\_\_. (mu_0 = 4pi times 10^-7 mathrmTm / mathrmA)
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