Understanding Physics JEE Main & Advanced ELECTRICITY AND MAGNETISM Understanding Physics JEE Main & Advanced ELECTRICITY AND MAGNETISM DC PANDEY [B.Tech, M.Tech, Pantnagar, ID 15722] ARIHANT PRAKASHAN (Series), MEERUT Understanding Physics JEE Main & Advanced ARIHANT PRAKASHAN (Series), MEERUT All Rights Reserved © SARITA PANDEY No part of this publication may be re-produced, stored in a retrieval system or by any means, electronic, mechanical, photocopying, recording, scanning, web or otherwise without the written permission of the publisher. Arihant has obtained all the information in this book from the sources believed to be reliable and true. However, Arihant or its editors or authors or illustrators don’t take any responsibility for the absolute accuracy of any information published and the damage or loss suffered thereupon. All disputes subject to Meerut (UP) jurisdiction only. ADMINISTRATIVE & PRODUCTION OFFICES Regd. Office 'Ramchhaya' 4577/15, Agarwal Road, Darya Ganj, New Delhi -110002 Tele: 011- 47630600, 43518550; Fax: 011- 23280316 Head Office Kalindi, TP Nagar, Meerut (UP) - 250002 Tel: 0121-2401479, 2512970, 4004199; Fax: 0121-2401648 SALES & SUPPORT OFFICES Agra, Ahmedabad, Bengaluru, Bareilly, Chennai, Delhi, Guwahati, Hyderabad, Jaipur, Jhansi, Kolkata, Lucknow, Meerut, Nagpur & Pune. ISBN 978-93-13190-57-8 Published by ARIHANT PUBLICATIONS (I) LTD. For further information about the books published by Arihant, log on to www.arihantbooks.com or e-mail at [email protected] /arihantpub /@arihantpub Arihant Publications /arihantpub Understanding Physics JEE Main & Advanced PREFACE The overwhelming response to the previous editions of this book gives me an immense feeling of satisfaction and I take this an opportunity to thank all the teachers and the whole student community who have found this book really beneficial. In the present scenario of ever-changing syllabus and the test pattern of JEE Main & Advanced, the NEW EDITION of this book is an effort to cater all the difficulties being faced by the students during their preparation of JEE Main & Advanced. The exercises in this book have been divided into two sections viz., JEE Main & Advanced. Almost all types and levels of questions are included in this book. My aim is to present the students a fully comprehensive textbook which will help and guide them for all types of examinations. An attempt has been made to remove all the printing errors that had crept in the previous editions. I am extremely thankful to (Dr.) Mrs. Sarita Pandey, Mr. Anoop Dhyani, Nisar Ahmad for their endless efforts during the project. Comments and criticism from readers will be highly appreciated and incorporated in the subsequent editions. DC Pandey Understanding Physics JEE Main & Advanced CONTENTS 23. CURRENT ELECTRICITY 1-108 23.1 Introduction 23.8 The Battery and the Electromotive 23.2 Electric Current Force 23.3 Electric Currents in Conductors 23.9 Direct Current Circuits, Kirchhoff’s 23.4 Drift Velocity and Relaxation Time Laws 23.5 Resistance of a Wire 23.10 Heating Effects of Current 23.6 Temperature Dependence of 23.11 Grouping of Cells Resistance 23.12 Electrical Measuring Instruments 23.7 Ohm’s Law 23.13 Colour Codes for Resistors 24. ELECTROSTATICS 109-231 24.1 Introduction 24.10 Equipotential Surfaces 24.2 Electric Charge 24.11 Electric Dipole 24.3 Conductor and Insulators 24.12 Gauss’s Law 24.4 Charging of a Body 24.13 Properties of a Conductor 24.5 Coulomb’s Law 24.14 Electric Field and Potential Due To 24.6 Electric Field Charged Spherical Shell or Solid 24.7 Electric Potential Energy Conducting Sphere 24.8 Electric Potential 24.15 Electric Field and Potential Due to a 24.9 Relation Between Electric Field and Solid Sphere of Charge Potential 25. CAPACITORS 233-333 25.1 Capacitance 25.6 Two Laws in Capacitors 25.2 Energy Stored in a Charged Capacitor 25.7 Energy Density 25.3 Capacitors 25.8 C-R Circuits 25.4 Mechanical Force on a Charged 25.9 Methods of Finding Equivalent Conductor Resistance and Capacitance 25.5 Capacitors in Series and Parallel Understanding Physics JEE Main & Advanced 26. MAGNETICS 335-454 26.1 Introduction Carrying Wires 26.2 Magnetic Force on a Moving 26.11 Magnetic Poles and Bar Magnets Charge(F ) 26.12 Earth’s Magnetism m 26.3 Path of a Charged Particle in Uniform 26.13 Vibration Magnetometer Magnetic Field 26.14 Magnetic Induction and Magnetic 26.4 Magnetic Force on a Current Materials Carrying Conductor 26.15 Some Important Terms used in 26.5 Magnetic Dipole Magnetism 26.6 Magnetic Dipole in Uniform 26.16 Properties of Magnetic Materials Magnetic Field 26.17 Explanation of Paramagnetism, 26.7 Biot Savart Law Diamagnetism and Ferromagnetism 26.8 Applications of Biot Savart Law 26.18 Moving Coil Galvanometer 26.9 Ampere's Circuital Law 26.10 Force Between Parallel Current 27. ELECTROMAGNETIC INDUCTION 455-560 27.1 Introduction 27.6 Self-Inductance and Inductors 27.2 Magnetic Field Lines and 27.7 Mutual Inductance Magnetic Flux 27.8 Growth and Decay of Current in an L- 27.3 Faraday’s Law R Circuit 27.4 Lenz’s Law 27.9 Oscillations in L-C Circuit 27.5 Motional Electromotive Force 27.10 Induced Electric Field 28. ALTERNATING CURRENT 561-607 28.1 Introduction 28.5 Series L-R Circuit 28.2 Alternating Currents and Phasors 28.6 Series C-R Circuit 28.3 Current and Potential Relations 28.7 Series L-C-R Circuit 28.4 Phasor Algebra 28.8 Power in an AC Circuit Hints & Solutions 609-731 JEE Main & Advanced Previous Years' Questions (2018-13) 1-36 Understanding Physics JEE Main & Advanced SYLLABUS JEE Main ELECTROSTATICS Electric charges Conservation of charge, Coulomb’s law-forces between two point charges, forces between multiple charges; Superposition principle and continuous charge distribution. Electric field Electric field due to a point charge, Electric field lines, Electric dipole, Electric field due to a dipole, Torque on a dipole in a uniform electric field. Electric flux, Gauss’s law and its applications to find field due to infinitely long uniformly charged straight wire, Uniformly charged infinite plane sheet and uniformly charged thin spherical shell. Electric potential and its calculation for a point charge, Electric dipole and system of charges; Equipotential surfaces, Electrical potential energy of a system of two point charges in an electrostatic field. Conductors and insulators, Dielectrics and electric polarization, Capacitor, Combination of Capacitors in series and in parallel, Capacitance of a parallel plate capacitor with and without dielectric medium between the plates, Energy stored in a capacitor. CURRRENT ELECTRICITY Electric current, Drift velocity, Ohm’s law, Electrical resistance, Resistances of different materials, V-I characteristics of Ohmic and non-ohmic conductors, Electrical energy and power, Electrical resistivity, Colour code for resistors; Series and parallel combinations of resistors; Temperature dependence of resistance. Electric cell and its Internal resistance, Potential difference and emf of a cell, combination of cells in series and in parallel. Kirchhoff’s laws and their applications. Wheatstone bridge, Meter bridge. Potentiometer – principle and its applications. Understanding Physics JEE Main & Advanced MAGNETIC EFFECTS OF CURRENT AND MAGNETISM Biot-Savart law and its application to current carrying circular loop. Ampere’s law and its applications to infinitely long current carrying straight wire and solenoid. Force on a moving charge in uniform magnetic and electric fields. Cyclotron. Force on a current-carrying conductor in a uniform magnetic field. Force between two parallel current-carrying conductors-definition of ampere. Torque experienced by a current loop in uniform magnetic field; Moving coil galvanometer, its current sensitivity and conversion to ammeter and voltmeter. Current loop as a magnetic dipole and its magnetic dipole moment. Bar magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field and magnetic elements. Para-, dia- and ferro- magnetic substances. Magnetic susceptibility and permeability, Hysteresis, Electromagnets and permanent magnets. ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS Electromagnetic induction; Faraday’s law, Induced emf and current; Lenz’s law, Eddy currents. Self and mutual inductance. Alternating currents, Peak and rms value of alternating current/voltage; Reactance and impedance; LCR series circuit, Resonance; Quality factor, power in AC circuits, Wattless current. AC generator and transformer. Understanding Physics JEE Main & Advanced JEE Advanced GENERAL Verification of Ohm’s law using voltmeter and ammeter. Specific resistance of the material of a wire using meter bridge and post office box. ELECTRICITY AND MAGNETISM Coulomb’s law, Electric field and potential, Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field, Electric field lines, Flux of electric field, Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, Uniformly charged infinite plane sheet and uniformly charged thin spherical shell. Capacitance, Parallel plate capacitor with and without dielectrics, Capacitors in series and parallel, Energy stored in a capacitor. Electric current, Ohm’s law, Series and parallel arrangements of resistances and cells, Kirchhoff’s laws and simple applications, Heating effect of current. Biot-Savart’s law and Ampere’s law, Magnetic field near a current-carrying straight wire, Along the axis of a circular coil and inside a long straight solenoid, Force on a moving charge and on a current-carrying wire in a uniform magnetic field. Magnetic moment of a current loop, Effect of a uniform magnetic field on a current loop, Moving coil galvanometer, Voltmeter, Ammeter and their conversions. ELECTROMAGNETIC INDUCTION Faraday’s law, Lenz’s law, Self and mutual inductance, RC, LR and LC circuits with DC and AC sources.