IIT-JEE Super Course in Physics - Vol 4 Electricity and Magnetism

Cover
Contents
Preface
Chapter 1: Electrostatics
	Study Material
	Electric Charge
	Properties of Charges
		Comparison between electric charge and mass of a body
		Units of electric charge
	Coulomb’s Law
		Nature of electrostatic force between point charges
		Comparison of electrostatic force between two point charges and gravitational force between two point masses
		Vector representation of Coulomb’s law
	Principle of Superposition
	Electric Field
		Concept Strands
		Electric field intensity (E)
			Electric field intensity (E–) due to a point charge (q)
			Electric field due to a group of point charges
	Electric Field Intensity Due to Continuous Charge Distributions
		Point charges and charge distributions
			Electric field due to a linear charge distribution
			Electric field E due to a ring of charge Q at a point P on its axis distant x from centre O
			Electric field due to surface distribution of charge
	Electric lines of Force
		Properties of electric lines of force
	Electric Dipoles
		Electric field along the axis of an electric dipole
		Electric field along the equatorialline of an electric dipole
		Electric field at any point A due to a short electric dipole
		Electric dipole in an external uniform electric field
		Potential energy of an electric dipole in an external uniform electric field
	Electric Potential
		Potential difference
		Potential due to a point charge
		Potential due to a group of point charges
		Potential due to an infinite line charge
		Potential due to a charged conducting sphere (or conducting shell)
		Potential due to a uniform solid spherical distribution of point charges in vacuum
		Potential due to a dipole
	Equipotential Surfaces
		Properties of equipotential surfaces
	Gauss’s Law
		Electric flux
		Gauss’s law
		Calculation of electric field and electric potential of some charge distributions using Gauss’s law
	Electrostatics of Conductors
		Isolated conductor
		Conductor in a field
		Conductor with a cavity
		Conductor with a cavity enclosing a charge
		Electrostatic pressure experienced by the charged conductor surface
	Capacitors and Dielectrics
		Capacitance
			Units of capacitance
			Principle of parallel plate capacitor
		Dielectrics and permittivity
		Capacitance of different types of capacitors
			(i) Conducting sphere of radius R
			(ii) Parallel plate air capacitor
			(iii) Parallel plate dielectric capacitor
			(iv) Spherical capacitor
			(v) Cylindrical capacitor
		Energy stored in capacitors
		Grouping of capacitors
			(i) Capacitors connected in parallel
			(iv) Capacitors in series connection
		Capacitors with compound dielectrics
			(i) With partial conducting medium of thickness x
			(ii) Partial dielectric across full area
			(iii) With partial dielectric (full thickness, half area)
			(iv) With two dielectrics of full thickness and equal area
	Summary
	Additional Practice Exercise
	Solutions
	Hints and Explanations
Chapter 2: Current Electricity
	Study Material
	Electric Current
		Current density
	Cell and EMF
	Electrical Conductivity of Metals
		Free electrons
			Electric current due to free electrons
		What causes electrical resistance?
		Drift velocity
		Mobility
		Drift velocity and current density
	OHM’s Law
	Temperature Dependence of Resistivity and Conductivity
	Internal Resistance of a Cell
	Equivalent Resistance
		Series combination of resistors
		Parallel combination of resistors
	Kirchhoff’s Rules
		The junction rule
		The loop rule
			Sign conventions to be followed in applying Kirchhoff’s loops law
	Combination of Cells
		Cells in series
		Cells in parallel
	Electrical Measuring Instruments
		Ammeter and Voltmeter
		Wheatstone’s Bridge
		The Meter Bridge
		Potentiometer
			Principle
			Construction
			Sensitivity of a potentiometer
			Comparison of emf of two cells
			Determination of the internal resistance of a cell
	Thermal Effects of Current
	RC Circuits
		Charging of a Capacitor
		Discharging of a Capacitor
		Energy in RC Circuits
	Summary
	Concept Connectors
	Topic Grip
		Subjective Questions
		Straight Objective Type Questions
		Linked Comprehension Type Questions
		Multiple Correct Objective Type Questions
		Matrix-Match Type Question
	IIT Assignment Exercise
		Assertion–Reason Type Questions
		Linked Comprehension Type Questions
		Multiple Correct Objective Type Questions
		Matrix-Match Type Question
	Additional Practice Exercise
		Subjective Questions
		Straight Objective Type Questions
		Assertion–Reason Type Questions
		Linked Comprehension Type Questions
		Multiple Correct Objective Type Questions
		Matrix-Match Type Questions
	Solutions
	Hints and Explanations
		Topic Grip
		IIT Assignment Exercise
		Additional Practice Exercise
Chapter 3: Magnetic Effects of Electric Current
	Study Material
	Magnetism and Magnetic Field
	Magnetic Effect of Electric Current
		Oersted’s experiment
			Significance of Oersted’s experiment
	Biot-Savart’s Law (Laplace’s Law)
		Current element
		Magnetic field due to a long straight current carrying conductor
	Magnetic Field at a Point on the Axis of a Circular Coil Carrying Electric Current
		End rule for magnetic field due to a current loop(or coil)
	Ampere’s Circuital Theorem
		Field due to a thick current carrying conductor
	Magnetic Field at a Point on the Axis of a Solenoid
		Solenoid
			Field of a long solenoid
			Field of a short solenoid
			Magnetic field of a toroid
			Magnetic field of a moving point charge
	Magnetic Force
	Force on a Charged Particle Moving in a Magnetic Field
		Cyclotron
		Velocity filter
		Violation of Newton’s third law
	Force on a Current Carrying Conductor kept in a Magnetic Field
		Wire in a uniform field
	Fleming’s Left Hand Rule
	Magnetic Field Lines
	Magnetic Flux and Magnetic Field
		(a) Magnetic flux
		(b) Magnetic flux density
	Force between Two Infinitely Long and Parallel Straight Conductors Carrying Steady Electric Current
		Ampere
	Torque on a Current Carrying Coil Placed in a Uniform Magnetic Field
		Permanent magnets
	Moving Coil Galvanometer (MCG)
		Construction of a moving coil galvanometer
		Pointer galvanometer
			Theory
			Current sensitivity
			Voltage sensitivity
			Figure of merit
			Advantages and disadvantages of moving coil galvanometer
			Conversion of a galvanometer into an ammeter
			Conversion of a galvanometer into a voltmeter
			Advantages of moving coil galvanometer over moving magnet galvanometer
			Distinction between an ammeter and a voltmeter
	Summary
	Concept Connectors
	Topic Grip
		Subjective Questions
		Straight Objective Type Questions
		Assertion–Reason Type Questions
		Linked Comprehension Type Questions
		Multiple Correct Objective Type Questions
		Matrix-Match Type Question
	IIT Assignment Exercise
		Straight Objective Type Questions
		Assertion–Reason Type Questions
		Linked Comprehension Type Questions
		Multiple Correct Objective Type Question
		Matrix-Match Type Question
	Additional Practice Exercise
		Subjective Questions
		Straight Objective Type Questions
		Assertion–Reason Type Questions
		Linked Comprehension Type Questions
		Multiple Correct Objective Type Questions
		Matrix-Match Type Questions
	Solutions
	Hints and Explanations
	IIT Assignment Exercise
	Additional Practice Exercise
Chapter 4: Electromagnetic Induction and Alternating Current
	Study Material
	Introduction
	Faraday’s Experiments
		Coil magnet experiment
		Coil-coil experiment
	Magnetic Flux
	Faraday’s Laws of Electromagnetic Induction
		Faraday’s I law of electromagnetic induction
		Faraday’s II law of electromagnetic induction
	Induced Current and Induced Charge
		Limitation of Faraday’s Laws of Electromagnetic induction
	Lenz’s Law
		Neumann’s relation
	Method of Inducing EMF in a Coil
	Motional EMF
		Fleming’s Right Hand Rule
		Eddy currents
	Self Induction
		Self Inductance (coefficient of self induction)
			Coefficient of self induction interms of induced EMF
			Energy Stored in a Coil
			Energy density in an inductor
			Mutual induction
			Coefficient of mutual induction(mutual inductance)
			Unit of coefficient of mutual induction
	Combination of Inductors
	Inductor as a Circuit Element
		LR Circuits
		The LC Circuit
	Alternating Current (AC)
		Expression for sinusoidal AC
		Sinusoidal AC
		Average value of alternating current during a cycle (im) (Mean value)
		Root mean square (RMS) value of alternating current (RMS)
		Phase of AC
		Electric power in an AC circuit
		AC applied to a resistor
		Phasors
		AC applied to an inductor
		AC applied to a capacitor
		Phasor diagram
		Average power
		AC applied to a series LCR circuit
		Power factor
		Hints for circuit analysis
	Resonance
		AC applied to series LCR circuit
		AC applied to a parallel LCR circuit
		Important Graphs
		Variation of inductive reactance with frequency of AC
			Variation of inductive reactance with frequency of AC
			Variation of capacitive reactance with frequency of AC
			Variation of Resistance with frequency of AC
			The variation of current with frequency in an LCR circuit
		AC circuits and associated parameters
	Summary
	Concept Connectors
	Topic Grip
		Subjective Questions
		Straight Objective Type Questions
		Assertion–Reason Type Questions
		Linked Comprehension Type Questions
		Matrix-Match Type Question
		Matrix-Match Type Question
	IIT Assignment Exercise
		Straight Objective Type Questions
		Assertion–Reason Type Questions
		Linked Comprehension Type Questions
		Multiple Correct Objective Type Questions
		Matrix-Match Type Questions
	Additional Practice Exercise
		Subjective Questions
		Straight Objective Type Questions
		Assertion–Reason Type Questions
		Linked Comprehension Type Questions
		Multiple Correct Objective Type Questions
		Matrix-Match Type Question
	Solutions
	Hints and Explanations
		Topic Grip
		IIT Assessment Exercise
		Additional Practice Exercise