Department of Physics
IIT Kanpur, Semester II, 2015-16
Solutions # 1
PHY103A: Physics II
Instructors: AKJ & DC
Solution 1.1:
(a) At the top of the hill, the gradient of the height function should be zero, that is, h(x, y) = 0. This gives
i
h(x, y) h
h(x,

EXERCISES
CONCEPTS QUESTIONS
1. Consider two concentric spheres of radii R and 2R. There is no charge in the space between the two
spheres. If the flux of electric field, Eda , through the inner sphere is Z, what will be the flux
through the outer sphere?

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MANUAL
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INTRODUCTION to
ELECTRODYNAMICS
Third Edition
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David J. Griffiths
TABLE OF CONTENTS
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Chapter 1
Vector Analysis
1
Chapter 2
Elect

Practice Problems: Magnetic Field-1
Short Questions:
1. Is it possible for a charged particle to move with a uniform velocity (same speed, same direction) under the
effect of a magnetic field and its weight? If yes, give directions of velocity and the fie

Department of Physics,
IIT Kanpur Semester II, 2015-16
Homework # 1
PHY103A: Physics II
Instructors: AKJ & DC
Problem 1.1: The plot of the following function looks like a hill on the xy plane:
h(x, y) = exp[(2xy 3x2 4y 2 18x + 28y 5)/60].
(a) Where is the

PHY103: Supplementary Set III
PROBLEMS
1. Two point charges + 5.0 mC and 5 mC are kept at ( 10 cm, 0, 0) and (10 cm, 0, 0) in Cartesian
coordinates. At which point is the potential due to this charge distribution zero?
2. Two identical, positive, point ch

Department of Physics
IIT Kanpur, Semester II, 2015-16
Solution # 2
PHY103A: Physics II
Instructors: AKJ & DC
Solution 2.1: Divergence theorem in cylindrical coordinates
z
(i)
5
(iii)
(iv)
(v)
2
y
2
(ii)
x
FIG. 1:
. The formula for divergence in the cylin

Department of Physics
IIT Kanpur, Semester II, 2015-16
Homework # 6
PHY103A: Physics II
Instructors: AKJ & DC
Problem 6.1: Current densities and field in a cylindrical wire (Griffiths 3rd ed., Prob 5.5 & Prob. 5.13)
A steady current I flows down a long cy

PHY103, 2012-13
Dept of Physics, IITKanpur
Practice Problems: Magnetic Field-2, Motional emf, Faradays Law
1. A long copper plate is moved at a speed along its length as suggested in
Figure 15E.3. A magnetic field exists perpendicular to the plate in a cy

Sum - Dept
Dept
AE
BSBE
CE
CHM
ECO
EE
ME
MSE
MTH
PHY
(empty)
Total Result
Sect
A1
A2 A3 A4 A5 (empty) Total Result
Roll No
Name
Dept
11229 CYNTHIA HAOKIP
BSBE
13140 ARINDAM RAJ
CE
13326 JITEN KUMAR
BSBE
13642 SHAIK SUSHUMA
MSE
13714 SUBHAM GOYAL
MSE
14354

Supplementary Problem Set 5
1. The space between the plates of a parallel plate capacitor is filled with two slabs of linear dielectric
material. Each slab has thickness a so the total distance between the plates is 2a. Slab -1 has a
dielectric constant 2

Department of Physics
IIT Kanpur, Semester II, 2015-16
Solution # 3
PHY103A: Physics II
Instructors: AKJ & DC
Solution 3.1: Finding potential, given a charge distribution (Griffiths 3rd ed. Prob 2.26)
z
b
h
x
r
h
r
y
a
x
FIG. 1:
The potential V (a) at poi

Department of Physics
IIT Kanpur, Semester II, 2015-16
Mid-Semester Examination
PHY103A: Physics II
Time: 2 Hours
Max Marks: 80
Solution 1: (10 Marks)
(r, , )
. The points (r, ) = (R/2, 0) and (r, ) = (R/2, ) are
0
the two points which are at a distance R

Department of Physics
IIT Kanpur, Semester II, 2015-16
PHY103A: Physics II
Homework # 4
Instructors: AKJ & DC
Problem 4.1: Force with image charges (Griffiths 3rd ed. Prob 3.6)
Find the force on charge +q in Fig. 1(a), in which the xy plane is a grounded

Department of Physics
IIT Kanpur, Semester II, 2015-16
Solution # 5
PHY103A: Physics II
Instructors: AKJ & DC
Solution 5.1: Force and Torque on a dipole (Griffiths 3rd ed., Prob 4.5 & Prob. 4.9)
(a) The field due to the dipole p1 is given by
E1 (r, ) =
p1

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Department of Physics, IIT Kanpur
Semester-II, 2015-16
PHY103
Problem Set # 12
Date: April 1, 2016
[DpC/AKJ]
~ field associated with the E
~ field given below for the electromagnetic
1. Obtain the B
wave traveling in vacuum.
~ = x 10 sin(t + 6 105 z) V /m

Department of Physics, IIT Kanpur
Semester-II, 2015-16
PHY103
Problem Set # 11
Date: March 23, 2016
[DpC/AKJ]
1. Consider a parallel plate capacitor is being charged. The capacitor has circular plates
of radius a separated by a distance d. Calculate the P

Department of Physics, IIT Kanpur
Semester-II, 2015-16
PHY103
Problem Set # 10
Date: March 10, 2016
[DpC/AKJ]
1. Consider a parallel plate capacitor with each plate of radius a and a constant current
I flows to charge the plates. Assume that the current f

Department of Physics, IIT Kanpur
Semester-II, 2015-16
PHY103
Problem Set # 9
Date: March 3, 2016
[DpC/AKJ]
1. A metal bar of mass m slides frictionlessly on two parallel conducting rails a distance
l apart. A resistor R is connected across the rails and

Department of Physics, IIT Kanpur
Semester-II, 2015-16
PHY103
Problem Set # 7
Date: February 16, 2016
[DpC/AKJ]
1. Find the vector potential everywhere for
~ = K i, flowing over the x-y plane.
(a) an infinite uniform surface current K
(b) an infinitely lo

Department of Physics, IIT Kanpur
Semester-II, 2015-16
PHY103
Problem Set # 8
Date: February 24, 2016
[DpC/AKJ]
1. Consider an infinite slab of conducting material with magnetic susceptibility m , is
placed parallel to xy plane, between z = a and z = a. I

PHY103A: PHYSICS II (2015-2016, Semster-II)
Department of Physics, IIT Kanpur
This course is one of the three foundational courses for the first year of Engineering and Sciences
curriculum and seeks to provide the student with the basics of the electromag

Department of Physics
IIT Kanpur, Semester II, 2015-16
PHY103A: Physics II
Solution # 4
Instructors: AKJ & DC
Solution 4.1: Force with image charges (Griffiths 3rd ed. Prob 3.6)
As far as force is concerned, this problem is the same if we remove the groun

Department of Physics, IIT Kanpur
Semester-II, 2015-16
PHY103
Problem Set # 13
Date: April 8, 2016
[DpC/AKJ]
1. Imagine a prism(n = 1.5) whose cross section is a quarter circle of radius a. As shown
in Fig., one flat side rests on the table, and light is

Semester II, 2015-16
Department of Physics, IIT Kanpur
PHY103A: Lecture # 12
(Text Book: Intro to Electrodynamics by Griffiths, 3rd Ed.)
Anand Kumar Jha
Notes
Second Problem Solving Session today @ 5-6
pm: TB-205, TB-206, TB-207
No Tutorial on Tuesday (

Department of Physics
IIT Kanpur, Semester II, 2015-16
Solution # 6
PHY103A: Physics II
Instructors: AKJ & DC
Solution 6.1: Current densities and field in a cylindrical wire (Griffiths 3rd ed., Prob 5.5 & Prob. 5.13)
(a) The total current is I and the tot

Semester II, 2015-16
Department of Physics, IIT Kanpur
PHY103A: Lecture # 6
(Text Book: Intro to Electrodynamics by Griffiths, 3rd Ed.)
Anand Kumar Jha
1
Summary of Lecture # 5:
Gausss Law from Coulombs Law: =
Curl of the electric field : = 0
Electric