DC Pandey Magnetics Solutions
DC Pandey Electricity and Magnetism Solutions for chapter 23 ‘Magnetics’ are prepared to help you understand the concepts in this chapter for JEE and Class 12 board exams. The topics that are covered in this chapter of DC Pandey Solutions are a magnetic force on a moving charge, the path of a charged particle in a uniform magnetic field and magnetic force on a current-carrying conductor. Other crucial topics covered in this chapter are magnetic dipole, biot-savant law, ampere’s circuital law, magnetic poles, and bar magnets. After practising the exercise questions you will be able to grasp the properties of Magnetic materials.
There are a total of 184 questions separated into three exercises according to the paper patterns of the JEE Main and Advanced exams. The questions are arranged in the increasing order of difficulty levels so that you can gradually prepare for tough competitive exams like JEE. Assertion-reasoning, match the columns, multiple-choice questions are all covered in the DC Pandey Electricity and Magnetism Magnetics exercise questions.
At Instasolv, you will get the answer to all your queries related to DC Pandey Electricity and Magnetism Magnetics instantly. Our subject matter experts have prepared the DC Pandey Magnetics solutions for JEE based on extensive research work. The solutions provided cover all the frequently occurring doubts in a step by step manner. Our experts have met the demands of all the questions with adequate reasoning in each answer.
Important Topics for DC Pandey Electricity and Magnetism Solutions Chapter 23: Magnetics
Magnetic Force on a Moving Charge
Consider a free moving charge, q which is normal to the velocity, v of the given charge and its magnetic field, B. Then the magnetic force is as follows:
F = qvB sin 𝛳
Path of Charged Particle in Uniform Magnetic Field
The magnetic field is the dominant factor determining the motion of the particle in a vacuum. As the magnetic force is perpendicular to the direction of travel, a charged particle leads a curved path in a magnetic field. The particle follows this curved path until it makes a complete circle.
Magnetic Force on a Current-Carrying Conductor
A current-carrying conductor experiences a force given by:
F = ILB sin
where I is current, l is the length of a straight conductor in a uniform magnetic field B, and θ is the angle between I and B. It follows Right-Hand Rule with the thumb in the direction of I.
A magnetic dipole is also termed as a magnetic moment. It can be defined as a small distance along with a magnetic north pole and a magnetic south pole.
The above equation is the dependence of magnetic field dB on the current I, on size, and orientation of the length element dl and on distance r.
Ampere’s Circuital Law
Line integral to the magnetic field of the coil = μ0 times the current passing through it. It is mathematically expressed as
∫ B.dl = μ0 I
Here, μo = permeability of free space = 4 π × 10-15 N/ A2 and
∫ B.dl = line integral of B around a closed path.
Magnetic Poles and Bar Magnets
A bar magnet is a ferromagnetic rectangular piece of object. It has two poles: south and a north pole. If suspended freely, the north pole of the magnet points towards the magnetic north pole of the earth.
Some Important Terms Used in Magnetism
Following are some important terms and their symbols that are used in Magnetism
B – the strength of the magnetic field
d – distance
I – current in the wire
μ0 – the permittivity of free space
F -magnetic vector
I -current magnitude
L -length vector
B -magnetic field vector
θ -the angle between length and magnetic field vectors (radians)
n -cross-product direction vector (unitless)
Properties of Magnetic Materials
- The north pole of one magnet attracts the south pole of other magnet and vice-versa.
- The magnet possesses its own magnetic field lines due to various factors like the flowing of the current, orbital spin of an electron, magnetic moment, etc
- The behaviour of a magnet is always studied with respect to the earth’s magnetic field.
Exercise Discussion for DC Pandey Electricity and Magnetism Solutions Chapter 23: Magnetics
- In exercise 23.1, the questions employ the concepts related to a moving charge, that is, the path of the charged particle moving in a uniform magnetic field and the force acting on it.
- In exercise 23.2, the questions are based on the magnetic force on a current-carrying conductor, magnetic dipole and magnetic dipole in a uniform magnetic field.
- In exercise 23.3, the questions are based on the applications of Biot-Savart and Ampere’s Law.
- In exercises 23.4, 23.5 and 23.6, the questions cover the topics such as Magnetic Poles and Bar Magnets, Earth’s Magnetism, Magnetic induction, and magnetic materials, etc.
AIEEE Corner (Now a part of JEE):
All the topics are covered in these exercises section-wise include the force acting on a charged particle, the magnetic force on a current-carrying conductor, magnetic dipole and magnetic dipole in a uniform magnetic field, etc. in the subjective as well as objective format of questions.
- JEE Corner:
All advanced level problems of the recurring patterns in JEE Main and JEE Advanced are covered in this exercise. The most scoring and crucial topics in this chapter are Biot-Sawarts Law and Ampere’s Law, besides the properties of magnetic materials and a magnetic dipole. The concepts are covered extensively in the exercise questions. In this exercise, you will be required to answer almost all the formats of questions such as assertion-reasoning, subjective questions, match the columns, etc.
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