Electromagnetic Induction & AC · JEE Main previous year questions

2026 7 questions

1. Q452026 · 6 Apr 2026 · Shift 1

   A LCR series circuit driven with $E_{\mathrm{rms}}=90\mathrm{V}$ at frequency $f_d=30\mathrm{Hz}$ has resistance $R=80\Omega$, an inductance with inductive reactance $X_L=20.0\Omega$ and capacitance with capacitive reactance $X_C=80.0\Omega$. The power factor of the circuit is ____.

   1. A.0.8
   2. B.0.64
   3. C.0.9
   4. D.0.5
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   Answer: A

2. Q502026 · 5 Apr 2026 · Shift 1· Numerical answer
   
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   Answer: 6

3. Q482026 · 5 Apr 2026 · Shift 2· Numerical answer

   A series LCR circuit with $R=20\Omega$, $L=1.6\mathrm{H}$ and $C=40\mu \mathrm{F}$ is connected to a variable frequency a.c. source. The inductive reactance at resonant frequency is ____ $\Omega$.

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   Answer: 200

4. Q422026 · 2 Apr 2026 · Shift 2
   
   1. A.$\frac{9}{2}$
   2. B.$\frac{2}{9}$
   3. C.$\frac{1}{3}$
   4. D.3
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   Answer: B

5. Q432026 · 2 Apr 2026 · Shift 2

   A circular current loop of radius $R$ is placed inside square loop of side length $L$ ($L>>R$) such that they are co-planar and their centers coincide. The permeability of free space is ${\mu }_0$. The mutual inductance between circular loop and square loop is ____.

   1. A.$2\sqrt{2}\frac{{\mu }_0{L}^2}{R}$
   2. B.$\sqrt{2}\frac{{\mu }_0{L}^2}{R}$
   3. C.$\sqrt{2}\frac{{\mu }_0{R}^2}{L}$
   4. D.$2\sqrt{2}\frac{{\mu }_0{R}^2}{L}$
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   Answer: D

6. Q372026 · 24 Jan 2026 · Shift 1
   
   1. A.4
   2. B.8
   3. C.6
   4. D.10
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   Answer: C

7. Q452026 · 24 Jan 2026 · Shift 1

   Match the LIST-I with LIST-II $$\begin{array}{llll}\text{List-I}& & \text{List-II}& \\ \text{A.}& \text{Magnetic induction}& \text{I.}& ML{T}^{-2}{A}^{-2}\\ \text{B.}& \text{Magnetic flux}& \text{II.}& M{L}^2{T}^{-2}{A}^{-2}\\ \text{C.}& \text{Magnetic permeability}& \text{III.}& M{L}^0{T}^{-2}{A}^{-1}\\ \text{D.}& \text{Self inductance}& \text{IV.}& M{L}^2{T}^{-2}{A}^{-1}\end{array}$$ Choose the correct answer from the options given below:

   1. A.A-III, B-IV, C-II, D-I
   2. B.A-I, B-III, C-IV, D-II
   3. C.A-IV, B-III, C-I, D-II
   4. D.A-III, B-IV, C-I, D-II
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   Answer: D