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Overview

Electromagnetic Induction is one of the most consistently high-weightage chapters in Grade XII Physics, and it’s also one of the broadest — it pulls together Faraday’s and Lenz’s laws, induced emf in moving conductors and rotating coils, self and mutual inductance, energy stored in an inductor, and transformers, all under one roof. Nearly every board paper draws at least one theory question asking you to state Lenz’s law and explain how it satisfies conservation of energy, alongside a derivation of emf induced in a rectangular coil rotating in a magnetic field — a proof worth memorizing step by step since it appears almost every year in some form.

The numericals split into a few recognizable families: instantaneous emf from a time-varying flux equation (differentiate φ with respect to t), emf induced in a straight conductor moving through a field (using v, B, and length or angle), self-inductance of a solenoid, and transformer turn-ratio problems involving efficiency and power. The eddy currents and transformer short-answer questions also recur reliably — particularly why laminated cores reduce heating, and why transformers don’t work on DC.

Below is the full set of MCQs, theory questions, and numerical problems from past NEB board exams, organized by course and question type.

⚠️ Common Mistakes Students Make

  • Confusing Faraday’s law (magnitude) with Lenz’s law (direction). Faraday’s law tells you how much emf is induced (rate of change of flux); Lenz’s law tells you which direction it opposes. Answering “state Faraday’s law” with only the magnitude relation, omitting the negative sign that encodes Lenz’s law, is a common partial-mark loss.
  • Mixing up self-inductance and mutual inductance formulas. Self-inductance relates a coil’s own changing current to its own induced emf; mutual inductance relates one coil’s changing current to emf induced in a separate, nearby coil. Students often apply the self-inductance formula (L = N²μ₀A/l) when a mutual inductance problem is being asked.
  • Forgetting that transformers only work on AC. Since a transformer relies on a changing flux to induce emf in the secondary coil, a steady DC current produces no changing flux — a frequently tested short-answer trap.

MCQs

Q12082 GIE ‘A’

The magnetic flux through a coil perpendicular to its plane and directed into paper is varying according to the relation [latex]\phi = (4t^2 + 4t + 6)[/latex]Wb. The emf induced in loop at t = 4s is
a.
12V
b.
24V
c.
36V
d.
48V
Show answer
Correct answer: (C)
Q22082

A square coil of area [latex]10^{-2}[/latex] m2 is placed perpendicular to a uniform magnetic field of intensity [latex]10^3[/latex] T. What is the magnetic flux through the coil?
a.
100 Weber
b.
10 Weber
c.
[latex]10^{-3}[/latex] Weber
d.
[latex]10^{-5}[/latex] Weber
Show answer
Correct answer: (B)
Q32081 GIE ‘B’

A magnet is moved towards a coil through a certain distance slowly in one case and quickly in the second case. The inducted emf is
a.
more in second case
b.
more in first case
c.
equal in both case
d.
zero in either case
Show answer
Correct answer: (A)
Q42080 GIE A

A long solenoid carrying a current produces a magnetic field ‘B’ along its axis. If the current is doubled and the number of turns per cm is halved, the new value of magnetic field is
a.
B
b.
2B
c.
[latex]\frac{B}{2}[/latex]
d.
4B
Show answer
Correct answer: (A)
Q52080 ‘P’

What is the induced emf in a coil if the flux associated with it changes at the rate of 1 Weber per minute?
a.
1 Volt                         
b.
[latex]\frac{1}{60}[/latex] Volt                    
c.
60 Volt                   
d.
Zero
Show answer
Correct answer: (B)
Q62080 ‘R’

Self-inductance of a coil varies as
a.
   Reciprocal of number of turns                                   
b.
Resistance of the coil
c.
   Square of number of turns                                         
d.
Magnitude of current flowing
Show answer
Correct answer: (C)
Q72079 GIE ‘A’

A straight conducting rod of length 0.4m is moving perpendicular to magnetic flux density of 0.9 Wb/m2 with a speed of 7 m/s. The emf developed in the rod is
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