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Electricity and Magnetism
A parallel plate capacitor having rectangular
plates of area of cross-section 6.45 x 10^-4 m² each is kept in free space. The separation
between the plates is 1.5 x 10^-3 m and a
voltage of 15 V is applied across these plates. Calculate the capacitance of the capacitor. If a material of dielectric constant 6.0 is introduced in the region between the two plates, calculate the capacitance and the
electric displacement D .
plates of area of cross-section 6.45 x 10^-4 m² each is kept in free space. The separation
between the plates is 1.5 x 10^-3 m and a
voltage of 15 V is applied across these plates. Calculate the capacitance of the capacitor. If a material of dielectric constant 6.0 is introduced in the region between the two plates, calculate the capacitance and the
electric displacement D .
Electricity and Magnetism
Using Gauss's law, obtain expressions
for electric field at a point (i) outside, and
(ii) inside a spherical charge distribution.
for electric field at a point (i) outside, and
(ii) inside a spherical charge distribution.
Electricity and Magnetism
A current of 2.5 A flowing in a solenoid having
self-inductance 3.8 H is reduced steadily to
zero in 1.0 ms. Calculate the magnitude of the
back emf of the solenoid while the current is
being switched off.
self-inductance 3.8 H is reduced steadily to
zero in 1.0 ms. Calculate the magnitude of the
back emf of the solenoid while the current is
being switched off.
Electricity and Magnetism
What is the basic difference in the nature of
the electric fields produced by static charges
and those induced by changing magnetic
fields ?
the electric fields produced by static charges
and those induced by changing magnetic
fields ?
Electricity and Magnetism
In the Bohr model, the electron of a hydrogen
atom moves in a circular orbit of radius
5.3 x 10^-11 m with a speed of 2.2 x 10^6 ms^-1. Determine its frequency and the current in the orbit.
atom moves in a circular orbit of radius
5.3 x 10^-11 m with a speed of 2.2 x 10^6 ms^-1. Determine its frequency and the current in the orbit.
Electricity and Magnetism
The magnetic field at the centre of a solenoid
of length 2.5 m and diameter 0.8 m is
0.5 tesla. Calculate the energy stored in the
field of the solenoid.
of length 2.5 m and diameter 0.8 m is
0.5 tesla. Calculate the energy stored in the
field of the solenoid.
Electricity and Magnetism
Two parallel plates which have a cross-sectional area of 100 cm², carry an equal
and opposite charge of 1.0×10^-7 C. The space between the plates is filled with a dielectric material and the electric field within the dielectric is 2.3 x 10^5 Vm^-1. If the electric field across the plates without the dielectric is given by E0 = sigma/aphselonot sigma being the surface charge density of the plates, calculate the dielectric constant of the dielectric.
and opposite charge of 1.0×10^-7 C. The space between the plates is filled with a dielectric material and the electric field within the dielectric is 2.3 x 10^5 Vm^-1. If the electric field across the plates without the dielectric is given by E0 = sigma/aphselonot sigma being the surface charge density of the plates, calculate the dielectric constant of the dielectric.
Electricity and Magnetism
Explain the mechanism of polarisation in
dielectrics made up of non-polar molecules and
dielectrics made up of polar molecules.
dielectrics made up of non-polar molecules and
dielectrics made up of polar molecules.
Electricity and Magnetism
Two point charges +4e and +e are fixed at a
distance 'a'. A third charge q is placed on a
straight line joining these two charges so that
q is in equilibrium. Determine the position
of q.
distance 'a'. A third charge q is placed on a
straight line joining these two charges so that
q is in equilibrium. Determine the position
of q.
Electricity and Magnetism
A small object carrying a charge of - 4 x 10^-9 C experiences a force of 15 x 10^-6 N in the
negative x-direction when placed at a point in
an electric field. Calculate the electric field at
this point. What would the magnitude and
direction of the force acting on a proton placed at this point be ?
negative x-direction when placed at a point in
an electric field. Calculate the electric field at
this point. What would the magnitude and
direction of the force acting on a proton placed at this point be ?
