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In eq. E=1/(4πε_o )∫ρ_v R" " /R^3 dv', let ρ_v to be known. Explain in detail how you would numerically evaluate the vector integral to obtain E

A hollow rectangular waveguide has dimensions a = 2.28 cm., b = 1.01 cm. What TE modes will propagate in this waveguide if the frequency of the electromagnetic waves is 1.7 x 1010 Hz? What range of frequencies can be used to excite only one TE mode?


the mass of an electron is 9.11x10^-31 kg. charge on the electrcon is 1.69x10^-19 C and g = 9.8 m/s^2 then the intensity of eletric field required to balance weight of an electron is?

Show that the wave number of an electromagnetic wave plane wave is complex in a material with conductivity


Find the magnetic force experienced by an electronic of charge 1.6 x 10-19 prejected into a magnetice field dentist iot , with a velocity of 3 x 109 in a direction

Parallel time the field

At right angle to the field

At angle 300 to the field


A point charge of +10-7C is situated at the centre of a cube of side 1 m. Calculate the electric flux through the surface of the cube


A square loop in a magnetic field B

1) (i) State Faraday’s law of electromagnetic induction for the induced e.m.f. in a circuit due to changing magnetic flux.

(ii) Assume the axis of the loop is along the x-axis and the loop rotates in a clockwise direction with angular speed


protons of k.e 10^12 are injected into a uniform magnetic field of strength 10 Tesla .A magnetic field exists only inside the cylindrical region of diameter 50 cm and is parallel to the axis of cylinder at the point of injection. The proton beam is directed towards the axis of the cylinder and is perpendicular to it . By the time the beam exists the magnetic field changes direction by


Two point charges q1=+ 3.2 nC and q2= -5.3 nC are 0.2 m apart. Point A is midway between them; point B is 0.09 m from q1 and 0.07 from q2. Take the electric potential to be zero at infinity. Find (a) the potential at point A (b) the potential at point B (c) the work done by the electric field on a charge of 3.5 nC that travels from point A to point B.

A circular coil is carrying current in clockwise direction. A charged particle is crossing the circular coil exactly along the axis of the circular coil. Will the velocity of charged particle change?


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