JEE Physics Electromagnetic Induction MCQs Set 18

Multiple Choice Questions (MCQs) for JEE Physics: Electromagnetic Induction

Review structured MCQ sets for JEE Physics Electromagnetic Induction. Built according to official JEE guidelines, these downloadable questions support daily revision and core concept reinforcement.

Practice Electromagnetic Induction MCQs for JEE Physics

Access the complete set of multiple-choice questions for Electromagnetic Induction below. This focused format allows students to isolate specific topics for thorough review and uninterrupted practice alongside official JEE textbooks.

Multiple Choice Questions

Question 1: If N is the number of turns in a coil, the self-inductance of the coil varies as
(a) N⁰
(b) N
(c) N²
(d) N⁻²
Show Answer & Explanation

Answer: (c) N²

Explanation:
1. L = μ₀ N² A/l, so L is proportional to N².

Teacher's Note:
1. Recall the basic law.

Question 2:
Assertion (A): In mutual induction, the self induction of each of the coils persists.
Reason (R): Self induction arises due to the change in current in the coil itself. In mutual induction the current changes in both coils.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation

Answer: (a) Both A and R are true, and R is the correct explanation of A.

Explanation:
1. Each coil has a changing current, so each has self induction as well as mutual induction.
2. The reason correctly explains this.

Teacher's Note:
1. Both effects occur together.

Question 3:
Assertion (A): An induced current has a direction such that the magnetic field due to the current opposes the change in the magnetic flux that induces the current.
Reason (R): The above statement is in accordance with the conservation of energy.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation

Answer: (a) Both A and R are true, and R is the correct explanation of A.

Explanation:
1. This is Lenz's law, and it follows from conservation of energy: if the induced current aided the change it would create energy from nothing.

Teacher's Note:
1. Lenz's law is energy conservation.

Question 4: In electromagnetic induction, the induced charge is independent of
(a) change of flux
(b) time
(c) resistance of the coil
(d) none of these
Show Answer & Explanation

Answer: (b) time

Explanation:
1. q = Δφ/R depends on the flux change and the resistance but not on the time taken.

Teacher's Note:
1. Recall the basic law.

Question 5: An AC generator of 220 V having internal resistance r = 10 ohm and external resistance R = 100 ohm. What is the power developed in the external circuit?
(a) 484 W
(b) 400 W
(c) 441 W
(d) 369 W
Show Answer & Explanation

Answer: (b) 400 W

Explanation:
1. I = 220/(10 + 100) = 2 A.
2. P = I²R = 4 × 100 = 400 W.

Teacher's Note:
1. Recall the basic law.

Question 6: Eddy currents are produced when
(a) a metal is kept in a varying magnetic field
(b) a metal is kept in a steady magnetic field
(c) a circular coil is placed in a magnetic field
(d) through a circular coil, current is passed
Show Answer & Explanation

Answer: (a) a metal is kept in a varying magnetic field

Explanation:
1. A changing flux induces circulating currents in the bulk of a metal.

Teacher's Note:
1. Recall the basic law.

Question 7: When the current in a coil changes from 2 A to 4 A in 0.05 s, an emf of 8 V is induced in the coil. The coefficient of self-inductance of the coil is
(a) 0.1 henry
(b) 0.2 henry
(c) 0.4 henry
(d) 0.8 henry
Show Answer & Explanation

Answer: (b) 0.2 henry

Explanation:
1. L = e/(ΔI/Δt) = 8/(2/0.05) = 0.2 H.

Teacher's Note:
1. Recall the basic law.

Question 8:
Assertion (A): An emf can be induced by moving a conductor in a magnetic field.
Reason (R): An emf can be induced by changing the magnetic field.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation

Answer: (b) Both A and R are true, but R is not the correct explanation of A.

Explanation:
1. Both statements are true: motional emf and induced emf due to a changing field.
2. The second is not the explanation of the first, since in a moving conductor the field itself does not change.

Teacher's Note:
1. Two different ways to change flux.

Question 9: The SI unit of inductance, the henry, can be written as
(a) weber/ampere
(b) volt second/ampere
(c) joule/ampere²
(d) all of the above
Show Answer & Explanation

Answer: (d) all of the above

Explanation:
1. L = φ/I = (e t)/I = 2U/I², so Wb/A, V s/A and J/A² are all equal to henry.

Teacher's Note:
1. Recall the basic law.

Question 10: A copper rod of length l rotates about one end with angular velocity ω in a uniform magnetic field B perpendicular to the plane of rotation. The emf developed between the ends of the rod is
(a) \( B\omega l^2 \)
(b) \( \tfrac12B\omega l^2 \)
(c) \( 2B\omega l^2 \)
(d) \( \tfrac14B\omega l^2 \)
Show Answer & Explanation

Answer: (b) \( \tfrac12B\omega l^2 \)

Explanation:
1. emf = ∫ B ω r dr from 0 to l = (1/2) B ω l².

Teacher's Note:
1. Recall the basic law.

Question 11: In a uniform magnetic field of induction B, a wire in the form of a semicircle of radius r rotates about the diameter of the circle with angular frequency ω. The axis of rotation is perpendicular to the field. If the total resistance of the circuit is R, the mean power generated per period of rotation is
(a) \( \frac{(B\pi r\omega)^2}{2R} \)
(b) \( \frac{(B\pi r^2\omega)^2}{2R} \)
(c) \( \frac{B\pi r^2\omega}{2R} \)
(d) \( \frac{(B\pi r^2\omega)^2}{8R} \)
Show Answer & Explanation

Answer: (d) \( \frac{(B\pi r^2\omega)^2}{8R} \)

Explanation:
1. The area is πr²/2, so e = (Bπr²ω/2) sin(ωt).
2. Mean power = e_0²/(2R) = (Bπr²ω)²/(8R).

Teacher's Note:
1. Recall the basic law.

Question 12: Which of the following does not use the application of eddy currents?
(a) electric power meters
(b) induction furnace
(c) LED lights
(d) magnetic brakes in trains
Show Answer & Explanation

Answer: (c) LED lights

Explanation:
1. LED lights work on semiconductor electroluminescence.
2. The others use eddy currents.

Teacher's Note:
1. Recall the basic law.

Question 13: The plane in which eddy currents are produced in a conductor is inclined to the plane of the magnetic field at an angle equal to
(a) 45°
(b) 0°
(c) 180°
(d) 90°
Show Answer & Explanation

Answer: (d) 90°

Explanation:
1. Eddy currents flow in planes perpendicular to the magnetic field.

Teacher's Note:
1. Recall the basic law.

Question 14:
Assertion (A): An induced emf appears in any coil in which the current is changing.
Reason (R): Self induction obeys Faraday's law of induction.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation

Answer: (a) Both A and R are true, and R is the correct explanation of A.

Explanation:
1. A changing current changes the flux through the coil itself, and by Faraday's law this induces an emf.
2. The reason therefore explains the assertion.

Teacher's Note:
1. Self induction follows from Faraday's law.

Question 15: A coil having an area A0 is placed in a magnetic field which changes from B0 to 4B0 in a time interval t. The emf induced in the coil will be
(a) 3A0B0/t
(b) 4A0B0/t
(c) 3B0/(A0 t)
(d) 4A0/(B0 t)
Show Answer & Explanation

Answer: (a) 3A0B0/t

Explanation:
1. emf = ΔΦ/t = A0(4B0 - B0)/t = 3A0B0/t.

Teacher's Note:
1. Recall the basic law.

Question 16: Whenever the current in a coil is changed, an induced emf is produced in the same coil. This property of the coil is due to
(a) mutual induction
(b) self induction
(c) eddy currents
(d) hysteresis
Show Answer & Explanation

Answer: (b) self induction

Explanation:
1. This is self induction.

Teacher's Note:
1. Recall the basic law.

Question 17: A circular coil and a bar magnet placed nearby are made to move in the same direction. If the coil covers a distance of 1 m in 0.5 s and the magnet a distance of 2 m in 1 s, the induced emf produced in the coil is
(a) zero
(b) 0.5 V
(c) 1 V
(d) 2 V
Show Answer & Explanation

Answer: (a) zero

Explanation:
1. Both move at 2 m/s, so there is no relative motion.
2. The flux through the coil does not change and the emf is zero.

Teacher's Note:
1. Recall the basic law.

Question 18: An induction coil is an instrument based on the principle of
(a) electromagnetic induction
(b) mutual induction
(c) self induction
(d) induction furnace
Show Answer & Explanation

Answer: (b) mutual induction

Explanation:
1. An induction coil produces a high voltage in the secondary due to the changing current in the primary: mutual induction.

Teacher's Note:
1. Recall the basic law.

Question 19: Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to I = I0 sin(ωt), where I0 = 10 A and ω = 100π rad/s. The maximum value of the emf in the second coil is
(a) 2π
(b) 5π
(c) π
(d) 4π
Show Answer & Explanation

Answer: (b) 5π

Explanation:
1. e_max = M I0 ω = 0.005 × 10 × 100π = 5π V.

Teacher's Note:
1. Recall the basic law.

Question 20:
Assertion (A): A metallic conductor moves parallel to the magnetic field. The induced emf across its ends is zero.
Reason (R): The induced emf across the ends of a conductor is given by e = B v l sin θ.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation

Answer: (a) Both A and R are true, and R is the correct explanation of A.

Explanation:
1. When v is parallel to B, θ = 0 and e = B v l sin θ = 0.
2. So the reason explains the assertion.

Teacher's Note:
1. sin θ = 0.

Question 21: The mutual inductance between two coils depends on
(a) the medium between the coils
(b) the separation between the two coils
(c) the orientation of the two coils
(d) all of the above
Show Answer & Explanation

Answer: (d) all of the above

Explanation:
1. M depends on the geometry (separation, orientation), the number of turns and the medium.

Teacher's Note:
1. Recall the basic law.

Question 22: The expression for the induced emf, e = -dφ/dt, contains a negative sign. The significance of the negative sign is that
(a) the induced emf is produced only when the magnetic flux decreases
(b) the induced emf opposes the change in the magnetic flux
(c) the induced emf is opposite to the direction of the flux
(d) none of the above
Show Answer & Explanation

Answer: (b) the induced emf opposes the change in the magnetic flux

Explanation:
1. The negative sign expresses Lenz's law: the induced emf opposes the change in flux that produces it.

Teacher's Note:
1. Recall the basic law.

Question 23: A solenoid has 2000 turns wound over a length of 0.3 m. Its cross-sectional area is 1.2 × 10⁻³ m². Around its central section a coil of 300 turns is wound. If an initial current of 2 A flowing in the solenoid is reversed in 0.25 s, the emf induced in the coil will be
(a) \( 2.4\times10^{-4}\ \text{V} \)
(b) \( 2.4\times10^{-2}\ \text{V} \)
(c) \( 4.8\times10^{-4}\ \text{V} \)
(d) \( 4.8\times10^{-2}\ \text{V} \)
Show Answer & Explanation

Answer: (d) \( 4.8\times10^{-2}\ \text{V} \)

Explanation:
1. M = μ₀ N1 N2 A/l = 4π × 10⁻⁷ × 2000 × 300 × 1.2 × 10⁻³/0.3 = 3.02 × 10⁻³ H.
2. e = M ΔI/Δt = 3.02 × 10⁻³ × 4/0.25 = 4.8 × 10⁻² V.

Teacher's Note:
1. Recall the basic law.

Question 24: The magnetic flux φ in weber in a closed circuit of resistance 10 ohm varies with time φ = 6t² - 5t + 1 (t in seconds). The magnitude of the induced current at t = 0.25 s is
(a) 0.2 A
(b) 0.6 A
(c) 1.2 A
(d) 0.8 A
Show Answer & Explanation

Answer: (a) 0.2 A

Explanation:
1. e = dφ/dt = 12t - 5 = -2 V at t = 0.25 s.
2. |I| = 2/10 = 0.2 A.

Teacher's Note:
1. Recall the basic law.

Question 25: A coil has 200 turns and an area of 70 cm². The magnetic field perpendicular to the plane of the coil is 0.3 Wb/m² and it takes 0.1 s to rotate through 180°. The average induced emf will be
(a) 8.4 V
(b) 84 V
(c) 42 V
(d) 4.2 V
Show Answer & Explanation

Answer: (a) 8.4 V

Explanation:
1. Flux changes from +BA to -BA, so |ΔΦ| = 2BA per turn.
2. e = N 2BA/t = 200 × 2 × 0.3 × 70 × 10⁻⁴/0.1 = 8.4 V.

Teacher's Note:
1. Recall the basic law.

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