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

Showing 1–10 of 18 questions

• MCQmediumElectromagnetic InductionMutual induction and L-C oscillations,transformer

  Find the mutual inductance in the arrangement, when a small circular loop of wire of radius R is placed inside a large square loop of wire of side L (L ≫ R). The loops are coplanar and their centres coincide:

  

  Options

  • Option A

    2μ₀R²/L

  • Option B

    2√2 μ₀R²/L²

  • Option C

    2√2 μ₀R²/L

  • Option D

    √2 μ₀R²/L²

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  JEE Mains29 January 2023Shift 1Morning Shift

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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

  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

  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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• MCQmediumElectromagnetic InductionMutual induction and L-C oscillations,transformer

  Primary coil of a transformer is connected to 220 V ac. Primary and secondary turns of the transforms are 100 and 10 respectively. Secondary coil of transformer is connected to two series resistance shown in shown in figure. The output voltage (V₀) is :

  

  Options

  • Option A

    7 V

  • Option B

    15 V

  • Option C

    44 V

  • Option D

    22 V

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  JEE Mains 2024 30 Jan Morning Shift

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• MCQeasyElectromagnetic InductionMutual induction and L-C oscillations,transformer

  In an LC oscillator, if the values of inductance and capacitance become twice and eight times respectively, then the resonant angular frequency becomes x times its initial resonant angular frequency ω₀. The value of x is:

  Options

  • Option A

    1/4

  • Option B

    16

  • Option C

    1/16

  • Option D

    4

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  JEE Mains25 January 2023Morning Shift

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• NumericmediumElectromagnetic InductionMutual induction and L-C oscillations,transformer

  Two concentric circular coils of radii 1 cm and 1000 cm, with 10 and 200 turns respectively, are coaxial with coinciding centres. The mutual inductance is ______ × 10⁻⁸ H. [Take π² = 10]

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  JEE Mains6 April 2023Shift 2Evening 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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• MatcheasyElectromagnetic InductionMutual induction and L-C oscillations,transformer

  Match List I with List II.

  List 1

  1. A. AC generator

  2. B. Transformer

  3. C. Resonance phenomenon to occur

  4. D. Sharpness of resonance

  List 2

  1. I. Presence of both L and C

  2. II. Electromagnetic Induction

  3. III. Quality factor

  4. IV. Mutual Inductance

  Options

  • Option A

    A-IV, B-II, C-I, D-III

  • Option B

    A-II, B-I, C-III, D-IV

  • Option C

    A-II, B-IV, C-I, D-III

  • Option D

    A-IV, B-III, C-I, D-II

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  JEE Mains1 February 2023Shift 1Morning Shift

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