
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction is created to offer an accurate and reliable study material for the students preparing for the CBSE Board exams. The solutions are created by the subject matter experts to provide students with trustworthy and authentic study material.
Electromagnetic Induction Class 12 NCERT Solutions introduces the phenomenon of electromagnetic induction. It helps in developing the foundational understanding for modern technologies like generators, transformers and electric motors. The students will understand how changing magnetic fields can produce electric currents.
The following key topics are covered in this chapter:
-
Magnetic Flux and Faraday’s Experiments
- Eddy Currents
- Faraday’s Laws and Lenz’s Law
-
Motional EMF
- Self and Mutual Inductance
- Induced EMF and Current
- Energy Stored in Magnetic Fields
-
AC Generator Working Principle
- NCERT Solutions Class 12 Physics Chapter 6 Electromagnetic Induction Snapshots
- Class 12 Electromagnetic Induction: Key Topics, and Weightage
- Chapter 6 Electromagnetic Induction Important Formulas & Concepts
- Class 12 Electromagnetic Induction Chapter NCERT Solution PDF: Download PDF for Free
- Electromagnetic Induction Solutions
- Benefits of Using NCERT Solutions for Class 12 Physics Chapter 6
- NCERT Physics Chapter 6 Electromagnetic Induction – FAQs
NCERT Solutions Class 12 Physics Chapter 6 Electromagnetic Induction Snapshots
Here is a walkthrough of the Electromagnetic Induction:
- The students will gain the understanding of how changing magnetic fields create electricity. The principle that the electricity can be generated by changing magnetic fields powers transformers, generators, and many real-world technologies.
- They will understand Faraday's and Lenz's Laws to know that when magnetic fields change, induced currents are formed in loops and conductors and how nature opposes these changes.
- The students will be able to connect the theoretical concepts of the chapter with practical devices like induction cooktops, power generators, magnetic levitation, and electric braking systems.
- They will develop a visual and intuitive sense of what magnetic flux is and how its variation is central to electromagnetic induction.
- They will get a deeper understanding of how EMF, induced current, and magnetic fields interact in a dynamic system to improve the scientific thinking and logical reasoning.
- Students will get insights into motion-induced EMF and explore how simply moving a conductor through a magnetic field generates electricity. It explains the principles behind electric guitars, trains and wireless charging.
- This chapter lays the foundation for the next chapters on Electromagnetic Waves and Alternating Current.
- The students will understand the difference between mutual induction and self-induction and why they are important in designing transformers and electronic circuits.
- They will learn to apply the laws of induction in solving numerical and conceptual problems involving rods, loops, and coils in varying magnetic fields.
Class 12 Electromagnetic Induction: Key Topics, and Weightage
Electromagnetic Induction is an important chapter in Class 12 Physics that helps students understand the reasoning behind how a changing magnetic field generates an electric current. This concept is the basis of electrical machines like generators, transformers, and inductors. Understanding this chapter is necessary for board exam preparation as well as competitive exams like JEE and NEET.
The following topics are covered in the Ch 6 physics class 12 Electromagnetic Induction:
Exercise | Topics Covered |
---|---|
6.1 | Introduction To Electromagnetic Induction |
6.2 | The Experiments Of Faraday And Henry |
6.3 | Magnetic Flux |
6.4 | Faraday’s Law Of Induction |
6.5 | Lenz’s Law And Conservation Of Energy |
6.6 | Motional Electromotive Force |
6.7 | Inductance |
6.8 | AC Generator |
Important Topics in Electromagnetic Induction
Here are the main topics related to the Class 12 Physics Chapter Electromagnetic Induction.
Faraday’s Laws of Electromagnetic Induction
- Lenz’s Law & Conservation of Energy
- Motional EMF
- Eddy Currents
- Self-Induction & Mutual Induction
- Inductance (L) and Its Units:
- AC Generator
Electromagnetic Induction Weightage in JEE Main, NEET Exams
Exam Name | Percentage |
---|---|
NEET | 2% |
JEE Main | 2-3% |
More Details:
Chapter 6 Electromagnetic Induction Important Formulas & Concepts
Refer to the table below for important formulas and concepts of the Class 12 Chapter 6 Electromagnetic Induction:
Concept | Formula | Explanation |
---|---|---|
Electromagnetic Induction | — | Induction of emf or current in a loop due to change in magnetic flux. |
Magnetic Flux (Φ) | Φ = B · A · cos(θ) | B: Magnetic field, A: Area, θ: Angle between B and normal to area. |
Faraday’s First Law | — | An emf is induced in a coil when magnetic flux through it changes. |
Faraday’s Second Law | E = -dΦ/dt | Induced emf is proportional to rate of change of magnetic flux. |
Lenz’s Law | — | Induced current direction opposes the change in magnetic flux. |
Motional emf | E = B · l · v | Conductor of length l moving with velocity v in magnetic field B. |
Induced Current | I = E / R | Induced current when emf is applied across resistance R. |
Self-Induction | E_L = -L · dI/dt | A coil opposes the change in current flowing through it. |
Mutual Induction | E_M = -M · dI/dt | Change in current in one coil induces emf in another nearby coil. |
Self-Inductance of Long Solenoid | L = μ₀ · n² · A | L is self-inductance, n: turns per unit length, A: cross-sectional area. |
Energy Stored in an Inductor | U = (1/2) · L · I² | Energy stored in an inductor with inductance L and current I. |
Eddy Currents | — | Circular currents induced in conductors due to changing magnetic flux. |
AC Generator (Dynamo) | E = NABω sin(ωt) | Rotating coil in magnetic field generates sinusoidal emf. |
Class 12 Electromagnetic Induction Chapter NCERT Solution PDF: Download PDF for Free
Find below the link to free PDF.
Class 12 Magnetism and Matter Chapter NCERT Solution PDF: Download Free PDF
Related Links
NCERT Exemplar Solutions Class 12th Chapter Six | Physics Electromagnetic Induction: Overview, Questions, Preparation |
NCERT Solutions Chapter-wise for Class 12 Physics | NCERT Solutions |
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Electromagnetic Induction Solutions
Q.6.1 Predict the direction of induced current in the situations described by the following Figs. 6.18(a) to (f). |
Ans.6.1 The direction of the induced current in a closed loop is given by Lenz’s law. The given pairs of figures show the direction of the induced current when the North pole of a bar magnet is moved towards and away from a closed loop respectively. Using Lenz’s rule, the direction of the induced current in the given situation can be predicted as follows: The direction of the induced current is along ‘qrpq’. The direction of the induced current is along ‘prqp’. The direction of the induced current is along ‘yzxy’. The direction of the induced current is along ‘zyxz’. The direction of the induced current is along ‘xryx’. No current is induced since the field lines are lying in the plane of the closed loop. |
Q.6.2 Use Lenz’s law to determine the direction of induced current in the situations described by Fig. 6.19: (a) A wire of irregular shape turning into a circular shape; (b) A circular loop being deformed into a narrow straight wire. |
Ans.6.2 As the loop changes from irregular to circular shape, its area increases. Hence the magnetic flux linked with it also increases. According to Lenz’s law, the induced current should produce magnetic flux in the opposite direction of the original flux. For this induced current should flow in the anti-clockwise direction, i.e. adcb. As this circular loop is being deformed into a narrow straight wire, its area decreases. The magnetic flux linked also decreases. By Lenz’s law, the induced current should produce a flux in the direction of the original flux. For this the induced current should flow in the anti-clock wise direction, i.e. a’d’c’b’. |
Q.6.3 A long solenoid with 15 turns per cm has a small loop of area 2.0 cm2 placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from 2.0 A to 4.0 A in 0.1 s, what is the induced emf in the loop while the current is changing? |
Ans.6.3 Number of turns on the solenoid = 15 turns per cm = 1500 turns per m Hence, number of turns per unit length, n = 1500 The loop area in the solenoid, A = 2.0 = 2 Current carrying by the solenoid, changes from 2 .0 A to 4.0 A So, change of current, di = 4 – 2 = 2 A Change in time, dt = 0.1 s According to Faraday’s law, the induced emf, e = …………..(i) Where = induced flux through the small loop = BA …………..(ii) Magnetic field is given by B = ……………………………..(iii) Where = Permeability of free space = 4 H/m From equation (i), e = = A = 2 4 = 7.54 V Hence the induced emf while current is changing is 7.54 V |
Q.6.4 A rectangular wire loop of sides 8 cm and 2 cm with a small cut is moving out of a region of uniform magnetic field of magnitude 0.3 T directed normal to the loop. What is the emf developed across the cut if the velocity of the loop is 1 cm s–1 in a direction normal to the (a) longer side, (b) shorter side of the loop? For how long does the induced voltage last in each case? |
Ans.6.4 Length of the rectangular wire loop, l = 8 cm = 0.08 m Width of the rectangular loop, b = 2 cm = 0.02 m Hence, the area of the rectangular loop, A = l = 0.08 = 1.6 Magnetic field strength, B= 0.3 T Velocity of the loop, v = 1 cm/s = 0.01 m /s Emf developed in the longer side: Emf developed in the loop is given by e = Blv = 0.3 = 2.4 V Time taken to travel the width = = = s= 2 s Hence the induced voltage is 2.4 V, which lasts for 2 s. Emf developed in the shorter side: Emf developed in the loop is given by e = Bbv = 0.3 = 0.6 V Time taken to travel the width = = = s= 8 s Hence the induced voltage is 0.6 V, which lasts for 8 s. |
Commonly asked questions
6.8 Current in a circuit falls from 5.0 A to 0.0 A in 0.1 s. If an average emf of 200 V induced, give an estimate of the self-inductance of the circuit.
6.9 A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5 s, what is the change of flux linkage with the other coil?
6.7 A horizontal straight wire 10 m long extending from east to west is falling with a speed of 5.0 m s–1, at right angles to the horizontal component of the earth’s magnetic field, 0.30 × 10–4 Wb m–2.
(a) What is the instantaneous value of the emf induced in the wire?
(b) What is the direction of the emf?
(c) Which end of the wire is at the higher electrical potential?
Benefits of Using NCERT Solutions for Class 12 Physics Chapter 6
When students prepare from Shiksha's NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction, they get numerous advantages such as they get concept clarity of important topics like inductance, motional emf, Lenz's law, and Faraday's laws. The clarity comes due to step-by-step solutions. Each step helps in understanding why each step is taken and what is the best way to solve a problem. Preparing from here also helps in supporting the preparation of competitive examinations like JEE and NEET because electromagnetic induction is part of these exams and other competitive syllabi. The NCERT solutions ensure that you not only prepare well for the board exams but also for the entrance exams.
The chapter includes all types of questions, including conceptual and application-based questions. Practicing from this chapter helps students develop confidence and understanding to solve any kind of complex questions and it also helps them to improve their analytical thinking. The solutions help students with quick revision without wasting any time as they don't need to flip through multiple reference books and can quickly revise the definitions, derivations, and numerals. The NCERT book solutions are created and reviewed by the subject matter experts and hence, they offer highly reliable study material. The students can completely depend on it for exam preparation. Step-by-step solutions help students to understand how to structure a solution.
NCERT Physics Chapter 6 Electromagnetic Induction – FAQs
Find below the frequently asked questions on Class 12 NCERT Physics Chapter 6 Electromagnetic Induction:
Commonly asked questions
Explain the term Electromagnetic Induction.
Describe the principle of the electromagnet.
According to Electromagnetic Induction Chapter 6 Class 12 Physics, What is Eddy current?
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