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Discuss Maxwell’s generalisation of Ampere’s law.
Infer what will happen to the capacitance, charge, and potential difference in the respective capacitors when their potential difference increases?
Do the following fields satisfy all four Maxwell’s equations?
E(t) = E↓0 sin x sin t
B(t) = B↓0 cos x cos t
A time varying magnetic field B(t) = B↓0 cosωt pointing out of the page fills the
region enclosed by a circle of radius a shown in the figure below. Determine the
induced electric field.
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In the Bohr model of hydrogen atom, the electron follows a circular orbit centred on
the nucleus containing a proton. The motion of the electron along the circular orbit
constitutes a current. Calculate the magnetic field produced by the orbiting electron
at the site of the proton.
A sphere of radius R carries a charge of volume charge density ρ= ar, where a is a
constant and r denotes the distance from the centre of the sphere. Calculate the
total charge enclosed by the sphere and the electric field at points lying inside and
outside the sphere.
Two electric charges 2 µC and –1 µC are placed at a distance of 20 cm from each
other in vacuum. Locate the point on the line joining these two charges outside the
region between them at which the electric potential is zero with reference to the
positive charge.
A 10Mg truck rolling at a constant speed of 30kph along a horizontal rail comes to an incline of slope of sin-1 0.1. Calculate how far it will roll us the slope before coming to a halt, (a) ignoring all resistive forces, and (b) assuming the rolling resistance is 5% of the normal reaction of the truck.
The radio tuning capacitor consists of 26 plates of area 24 cm2. The distance between plates when set for maximum capacitance is 2mm. Assuming that the area of projection at maximum capacity is equal to the area of the plates, find the maximum capacity of this condenser.
The electric field has a magnitude of 3.0 N/C at a distance of 30 cm from a point charge. What is the charge?
