A cylindrical rod of length L and radius r, made of an inhomogeneous dielectric, is placed with its axis along the Z-direction with one end at the origin as shown below.
If the rod carries a polarization P=(5z2+7)k^, the volume bound charge inside the dielectric is
The figure shows a constant current source charging a capacitor that is initially uncharged.
If the switch is closed at t = 0, which of the following plots depicts correctly the output voltage of the circuit as a function of time?
A coaxial cable of uniform cross-section contains an insulating material of dielectric constant. The radius of the central wire is 0.01 m and that of the sheath is 0.02 m. The capacitance per kilometre of a cable is
A parallel plate capacitor is being discharged. What is the direction of the energy flow in terms of the Poynting vector in the space between the plates?
The magnetic field (in A/m) inside a long solid cylindrical conductor of radius a = 0.1 m is H=r104[α21sin(αr)−αrcos(αr)]ϕ^, where, α=2aπ. What is the total current (in ampere) in the conductor?
Four point charges are placed at the corners of a square whose centre is at the origin of a Cartesian coordinate system. A point dipole p is placed at the centre of the square as shown in the figure. Then,
A plane electromagnetic wave travelling in vacuum is incident normally on a non-magnetic, non-absorbing medium of refractive index n. The incident (Ei), reflected (Er) and transmitted (Et) electric fields are given as
Ei = E exp[i(kz - ωt)], Er = E0r exp[i(krz - ωt)], Et = E0t exp[i(ktz - ωt)]
If E = 2 V/m and n = 1.5, then the application of appropriate boundary conditions leads to
Electromagnetic waves are propagating along a hollow, metallic waveguide whose cross-section is a square of side W. The minimum frequency of the electromagnetic waves is
Three infinitely long wires are placed equally apart on the circumference of a circle of radius a perpendicular to its plane. Two of the wires carry current l each, in the same direction, while the third carries current 2l along the direction opposite to the other two. The magnitude of the magnetic induction B at a distancer from the centre of the circle for r > a, is
An electromagnetic wave is propagating in free space in the Z-direction. If the electric field is given by E=cos(ωt−kz)i^, where ωt=ck, then the magnetic field is given by
A classical charged particle moving with frequency ω in a circular orbit of radius a, centred at the origin in the XV-plane, electromagnetic radiation. At points (b, 0, 0) and (0, 0, b), where b ≫ a, the electromagnetic waves are
A charge +q is kept at a distance of 2R from the centre of a grounded conducting sphere of radius R. The image charge and its distance from the centre respectively, are
