and 
placed
30 cm apart in air?
due to another
small sphere of charge 
in air is 0.2 N.
(a)
What is the distance between the two spheres?
(b)
What is the force on the second sphere due to the first?
is dimensionless. Look
up a Table of Physical Constants and determine the value of this ratio. What
does the ratio signify?
or 
and 
are located at the
corners of a square ABCD of side 10 cm. What the force on a charge is of 
placed at the
centre of the Square?
and 
are located 20 cm
apart in vacuum.
(a)
What is the electric field at the midpoint O of the line AB joining the two
charges?
(b)
If a negative test charge of magnitude 
is placed at this
point, what is the force experienced by the test charge?
and
located at points A
: (0, 0, ?15 cm) and B : (0, 0, + 15 cm) respectively. What are the total
charge and electric dipole moment of the system?
is aligned at 
with the direction
of a uniform electric field of magnitude 
. Calculate the
magnitude of the torque acting on the dipole.
.
(a) Estimate the number of electrons transferred
(from which to which?)
(b) Is there a transfer of mass from wool to
polythene?
? The radii of A
and B are negligible compared to the distance of separation.
(b)
What is the force of repulsion if each sphere is charged double the above
amount, and the distance between them halved?
.
(a)
What is the flux of this field through a square of 10 cm on a side whose plane
is parallel to the yz plane?
(b)
What is the flux through the same square if the normal to its plane makes a
angle with the
x-axis?
.
(a)
What is the net charge inside the box?
(b)
If the net outward flux through the surface of the box were zero, could you
conclude that there were no charges inside the box? Why or why not?
is a distance 5 cm
directly above the centre of a square of side 10 cm, as shown in the given
figure. What is the magnitude of the electric flux through the square?
Hint: Think of the
square as one fact of a cube with edge 10 cm.
is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
to pass through a spherical Gaussian surface of 10.0 cm radius centred on the charge.
(a) If the radius of the Gaussian surface were doubled, how much flux would pass through the surface?
(b) What is the value of the point charge?
and points radially
inward, what is the net charge on the sphere?
.
(a)
Find the charge on the sphere.
(b)
What is the total electric flux leaving the surface of the sphere?
at a distance of 2
cm.
Calculate
the linear charge density.
. What is E :
(a)
in the outer region of the first plate,
(b)
in the outer region of the second plate, and
(c)
between the plates ?
in Millikan's oil
drop experiment. The density of the oil is 
. Estimate the
radius of the drop. 
per
metre. What are the force and torque experienced by a system having
a total dipole moment equal to 
in the negative
z-direction?
where 
is the unit vector
in the outward normal direction, and 
is the surface
charge density near the hole.
without using
Gauss's law.
Hint. Use Coulomb's law
directly and evaluate the necessary integral.
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