Instructors: TKG & DpC
Department of Physics, IIT-Kanpur
PHY103A (2014-15, II-SEM)
Problem Set 2
1. Calculate the divergence for V = r cos r + r sin + r sin cos . Check the divergence
theorem for the vector function over the volume of an inverted hemisphe
PHY103 MlDSEM-l 18 Sept 2013
Time: 120 min Max Marks: 80
Name \I/M M Roll NO
PHY103 TutorialSection No. Model SOILL fol/i
lgledge my honour as a gentleman / lady that during the examination I shall not resort to any
unfair means, and will neither give no
IITK/PHY103,
Problem set-12
Date: March 27, 2015
[DpC/TKG]
1. Two tiny wire loops, with area a1 and a2 as shown in the gure, are situated a displacement r apart (as shown in Fig. (1).
(a) Find their mutual inductance.
(b) Suppose a current I1 is owing in
IITK/PHY103
Problem set-8
Date: February 20, 2015
[TKG/DpC]
1. Suppose that the magnetic eld in some region has the form B = kz x (k is a constant).
Find the force on a square loop of side l, lying in the y-z plane and centered at the
origin, if it carrie
IITK/ PHY103,
Problem set-13
Date: April 5, 2015
[DpC/TKG]
1. A long coaxial cable carries current I(the current ows down the surface of inner
cylinder of radius a and back along the outer cylinder of radius b. If the conductors
are held at a potentil die
IITK/PHY103
Problem set-9
Date: March 6, 2015
[TKG/DpC]
1. Find the vector potential everywhere for
(a) an innite uniform surface current K = K owing over the x-y plane.
i,
(b) an innitely long solenoid of radius R with a constant surface current density
IITK/PHY103,
Problem set-10
Date: March 14, 2015
[DpC/TKG]
1. Consider an innite slab of conducting material with magnetic susceptibility m , is
placed parallel to xy plane, between z = a and z = a. It carries a free volume
current density Jf (z) = (J0 z/
PHYIUSA :\-'lidSen1ester Examination 18.2.201-1
Answer HEATH" and CLEARLY in the space provided for each quesrion. Do
not write more Lhan one answer for any question. Calculator is not allowed.
Maximmn roar-lo: = SD, Maximum Time = 2 hours.
. cfw_A Co
Department of Physics, IIT-Kanpur
Physics II (Phy103A)
Semester II, 2014-15
Instructors: Prof. Tarun Kanti Ghosh ([email protected]), FB352
Prof. Dipankar Chakrabarti ([email protected]), FB489
Tutors: Prof. A. Singh, office: FB376 (section-T1, L8)
Pro
Instructors: TKG & DpC
Department of Physics, IIT-Kanpur
PHY103A (2014-15, II-SEM)
Problem Set 7
1. A very long cylinder of radius a, carries a uniform polarization P perpendicular to its axis.
Find the electric eld inside the cylinder. Show that the eld
Instructors: TKG & DpC
Department of Physics, IIT-Kanpur
PHY103A (2014-15, II-SEM)
Problem Set 5
1. A vacuum diode consists of a heated cathode kept at zero potential and an anode at positive
potential V0 . Thermal electrons are emitted by the cathode and
Instructors: TKG & DpC
Department of Physics, IIT-Kanpur
PHY103A (2014-15, II-SEM)
Problem Set 6
1. Two identical spheres of radius R carrying uniform volume charge densities and +,
respectively, are placed so that the overlap is almost complete (see prob
Department of Physics, IIT-Kanpur
Instructors: TKG & DpC
PHY103 (2014-15, II-SEM)
Answers
Final Answers of the Exercise problems of Assignment 1:
Ex. 3c):
[r
[r
[r
x )
z
y
]y = (z
z )
x
x
y ).
]z = (x
y
x
]x = (y
Final Answers of the Exercise problems
Instructors: TKG & DpC
Department of Physics, IIT-Kanpur
PHY103A (2014-15, II-SEM)
Problem Set 4
1. The electric eld near the surface of the earth is roughly 100 V/m, pointing towards the
center of the earth. As you move up into the space, the eld vanishe
Instructors: TKG & DpC
Department of Physics, IIT-Kanpur
PHY103A (2014-15, II-SEM)
Problem Set 3
1. A model for the electrostatic potential of an atom, due to the nucleus (charge +Ze) and
electrons, is the so-called screened Coulomb potential is given by
Instructors: TKG & DpC
Department of Physics, IIT-Kanpur
PHY103 (2014-15, II-SEM)
Problem Set 1
1. a) 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].
i) Where is the top of the hill locat
1og M rD"sct'1
PHY
So/
1. consider a vector field ir;)=zsin2d.i_scos2l;
in cylindrical potar coordinates.
Find lhe line integrat of this
field over,a square loop p (shown in the figure)
sr0e perpendicutar to the xy-otane^ang,
of unit
j"srd
tne result is c