Fundamentals of Physics Chapter 30 Solutions: Induction and Inductance
Halliday Resnick & Walker Volume 2 Solutions for Chapter 30 ‘Induction and Inductance’ is an excellent resource for practice questions of JEE Physics. This chapter lets you understand every single thing about Induction and Inductance. You will learn Faraday’s Law and Lenz’s Law, Induction and Energy Transfers, about Induced Electric fields, Inductors, and Inductance, also about self-Induction. Further, Some other concepts like RL circuits, Energy stored in a magnetic field, the energy density of a magnetic field, about Mutual Induction, etc.
Resnick Halliday and Walker fundamentals of physics volume 2 Induction and Inductance Solutions have 9 different modules with 71 questions in total and there is another section named additional problems that has 24 questions. In These questions, you will find the induced emf ‘s (using Faraday’s and Lenz’s Law), rate of energy transferred to thermal energy, Induced Electric fields, inductance in the coil, the inductive time constant, etc. Also, some questions about self-induction and mutual induction. All of these questions will offer you the right piece of knowledge about the Induction and its various terminologies and concepts. Just engage with these questions regularly in order to get more proficient in the topic.
Our subject matter experts have provided all Resnick Halliday and Walker Physics Volume 2 Solutions for Induction and Inductance step-by-step. This will help you form a solid foundation of the concepts of the chapter. Refer to our solutions anytime and solve all your doubts regarding Induction and Inductance in one go.
Important Topics of Halliday Resnick and Walker Volume 2 Solutions Chapter 30: Induction and Inductance
This chapter has lots of important topics to study. We will see some key concepts that will help you in understanding all the things about this chapter. Let’s have a look at them-
- Magnetic Flux-
Magnetic flux is nothing, it is the no. of magnetic field lines that are passing through the given closed surface area.
It is simply seen as –
Φ = B A cos(θ)
It is equal to the surface integral of the normal component of the magnetic field passing through the surface area.
Its S-I unit is weber.
- Faraday’s Law of electromagnetic Induction–
Since, You know, the Faraday law of electromagnetic induction is the basic law in electromagnetic induction that illustrates how the magnetic field behaves when it comes in interaction with an electric circuit.
Through his experiment, he gave two laws-
➢ In his law, he describes the phenomenon that when the magnetic flux is kept changing across the coil, the induction takes place across the conductor that results in induced emf across the coil and if the circuit is closed, the current will be moved across it and the current is induced current.
➢ And, In his second law of electromagnetic induction, he said that the rate of change of magnetic flux across the coils is directly proportional to the induced emf produced in the conductor.
- Lenz’s Law-
Lenz law is one of the important concepts of Electromagnetism. Like Faraday told, when the magnetic flux is kept changing, the induced emf will produce in the coil which leads to the induced current across the conductor. However, Lenz says that the same induced current produced must be directed opposite to change in flux means current should be flowing to oppose the initially changing magnetic field.
- Inductors-
Inductors are the two-terminal passive electronic components. Typically, referred to as coils, choke, and reactor.
Basically, it stores energy in the magnetic field when current is kept flowing across the coils or it can also be said the electric component that opposes the sudden changes in the electric current. It is abbreviated with the symbol L.
L = N Φ / i
Where N is the no. turns in the coil
- Self-Induction-
When the current flowing in the same coil is kept changing, the induced emf produced in the coil is self-induced. This phenomenon is called self-induction.
- Mutual-Induction-
Mutual-induction is the phenomenon that says that, when a magnetic flux in the primary coil changes, the induced current will be produced in the secondary coil.
Consider two coils I.e. primary and secondary coil. If a certain change is made on one of the coils then the magnetic field is set up on the other coil.
This phenomenon can be seen in Transformers.
- Magnetic Energy-
If we consider an Inductor L, current in the coil, and the magnetic field B, then the magnetic energy associated with this-
U = 1 / 2 [ L i2]
Where L is the Inductance and measured in henry.
Magnetic resonance images, earth’s magnetic field, and starting a car, etc are the most prominent examples.
Exercise Discussion of Halliday Resnick and Walker Volume 2 Solutions Chapter 30: Induction and Inductance
- Module-30.1 has 28 questions based on the Faraday and Lenz laws of electromagnetic induction. On solving such questions, You will understand the concept of induced emf and induced current produced in the coil.
- Module-30.2 is about Induction and Energy transfers. These questions are based on the electrical rods, you need to determine the thermal energy of these rods. This module has 7 questions to practice.
- Module-30.3 has 4 questions based on the concepts of the Induced electric field. In these questions, you will be asked to find the induced electric field of the region.
- In the module-30.4 of Halliday Resnick and Walker Physics Induction and Inductance Solutions, there are 4 odd questions to solve. All you need to go through once the concepts of Inductors and Inductance, before solving them. In these questions, you have to determine the inductance in the coil.
- Module-30.5 comprises 6 questions. In these questions, different arrangements of inductors are given. You just go through once (Inductors in series and Inductors in parallel), it will be easy for you to deal with these questions.
- Module-30.6 has problems with their solutions based on the RL- circuits and it has 11 questions.
- Module-30.7 has 5 problems that will help you in solving questions about the Energy stored in the magnetic field.
- Module-30.8 has 6 questions at which you will be asked to find the energy density of the magnetic field.
- With 7 questions in module-30.9 will brush up your knowledge of Mutual-Induction. You just practice them more and more as these questions are relevant for your exam point of view.
- The 24 additional problems are also there in this chapter that has some tricky questions.
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