Mutual induction and L-C oscillations,transformer questions with solutions

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• NumericmediumElectromagnetic InductionMutual induction and L-C oscillations,transformer

  Two coils have mutual inductance 0.002 H. The current changes in the first coil according to the relation i = i₀ sin ωt, where i₀ = 5A and ω = 50π rad/s. The maximum value of emf in the second coil is π/α V. The value of α is ____.

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  JEE Mains 2024

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• MCQeasyElectromagnetic InductionMutual induction and L-C oscillations,transformer

  A transformer has an efficiency of 80% and works at 10 V and 4 kW. If the secondary voltage is 240 V, then the current in the secondary coil is:

  Options

  • Option A

    1.59 A

  • Option B

    13.33 A

  • Option C

    1.33 A

  • Option D

    15.1 A

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  JEE Mains 2024 01 Feb Evening Shift

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• MCQmediumElectromagnetic InductionMutual induction and L-C oscillations,transformer

  A small circular loop of radius R is placed concentrically and coplanarly inside a much larger square loop of side L, where L is much greater than R. What is the mutual inductance between the two loops? Take the permeability of free space as μ₀.

  Options

  • Option A

    2√2 μ₀L² /R

  • Option B

    √2 μ₀L² /R

  • Option C

    2 μ₀R² / L

  • Option D

    2√2 μ₀R² / L

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  JEE Mains 2026 2 April Evening Shift

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• MCQeasyElectromagnetic InductionMutual induction and L-C oscillations,transformer

  A 12 V DC source, a 3 H ideal inductor and a resistor R=12 Ω are connected in series. Find the steady-state current.

  

  Options

  • Option A

    2 A

  • Option B

    1 A

  • Option C

    3 A

  • Option D

    4 A

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  JEE Mains 2025 23 Jan Morning Shift

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• MCQmediumElectromagnetic InductionMutual induction and L-C oscillations,transformer

  Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is:

  

  Options

  • Option A

    μ₀πa²/(2b)

  • Option B

    μ₀b²/(2πa)

  • Option C

    μ₀πb²/(2a)

  • Option D

    μ₀a²/(2πb)

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  JEE Mains 2024 05 Apr Morning Shift

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• NumericmediumElectromagnetic InductionMutual induction and L-C oscillations,transformer

  A small square loop of wire of side ℓ is placed inside a large square loop of wire of side L, where L = ℓ². The loops are coplanar and their centers coincide. The value of mutual inductance of the system is √x × 10⁻⁷ H, where x = ____.

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  JEE Mains 2024 31 Jan Morning Shift

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• MCQmediumElectromagnetic InductionMutual induction and L-C oscillations,transformer

  Consider a circuit consisting of a capacitor of capacitance C and a coil with N turns per unit length, cross sectional area S and length d, where d² ≫ S. There is another coil of length d/2, cross sectional area S/2 and 2N turns per unit length completely inside the larger coil, as shown in the figure. The ends of this smaller coil are connected with each other by an insulated conducting wire. The self-inductance of the larger coil is L. Neglecting edge effects and all the Ohmic resistances, the resonant frequency of the circuit is:

  

  Options

  • Option A

    4/√(15LC)

  • Option B

    6/√(5LC)

  • Option C

    2/√(3LC)

  • Option D

    √[2/(3LC)]

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  JEE Advanced2026Paper 1

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• MCQmediumElectromagnetic InductionMutual induction and L-C oscillations,transformer

  Two coils of self-inductances L₁ and L₂ have mutual inductance M. For the current directions shown in the original figure, the induced emf in coil 1 is:

  

  Options

  • Option A

    -L₁(di₁/dt)+M(di₂/dt)

  • Option B

    -L₁(di₁/dt)-M(di₂/dt)

  • Option C

    -L₁(di₂/dt)+M(di₁/dt)

  • Option D

    -L₁(di₂/dt)-M(di₁/dt)

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  JEE Mains 2025 29 Jan Morning Shift

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• MCQeasyElectromagnetic InductionMutual induction and L-C oscillations,transformer

  Primary side of a transformer is connected to 230 V, 50 Hz supply. Turns ratio of primary to secondary winding is 10 : 1. Load resistance connected to secondary side is 46 Ω. The power consumed in it is :

  Options

  • Option A

    12.5 W

  • Option B

    10.0 W

  • Option C

    11.5 W

  • Option D

    12.0 W

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  JEE Mains 2024 27 Jan Evening Shift

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• NumericeasyElectromagnetic InductionMutual induction and L-C oscillations,transformer

  A power transmission line feeds input power at 2.3 kV to a step down transformer with its primary winding having 3000 turns. The output power is delivered at 230 V by the transformer. The current in the primary of the transformer is 5A and its efficiency is 90%. The winding of transformer is made of copper. The output current of transformer is_____A.

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  JEE Mains 2024 30 Jan Evening Shift

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