* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Electromagnetics-1
Hall effect wikipedia , lookup
Magnetic field wikipedia , lookup
Wireless power transfer wikipedia , lookup
History of electromagnetic theory wikipedia , lookup
Electric machine wikipedia , lookup
Electricity wikipedia , lookup
Electromagnetic compatibility wikipedia , lookup
Force between magnets wikipedia , lookup
Magnetic monopole wikipedia , lookup
Scanning SQUID microscope wikipedia , lookup
Faraday paradox wikipedia , lookup
Superconductivity wikipedia , lookup
Magnetoreception wikipedia , lookup
Eddy current wikipedia , lookup
Magnetochemistry wikipedia , lookup
Multiferroics wikipedia , lookup
Magnetohydrodynamics wikipedia , lookup
Lorentz force wikipedia , lookup
Maxwell's equations wikipedia , lookup
Magnetotellurics wikipedia , lookup
Mathematical descriptions of the electromagnetic field wikipedia , lookup
Electromagnetic field wikipedia , lookup
TUTORIAL SHEET ON ELECTROMAGNETICS Q. 1 Derive the Maxwell’s equations: i) Q. 2 ii) Explain the physical significance of each equation. Show that the electromagnetic wave equations for the electric field vector and magnetic field vector in free space are written as i) Q. 3. Q. 4 Q. 5 Q. 6 Q. 7 Q. 8 Q. 9 and ii) respectively. If the magnitude of in a plane wave is 1 amp/meter find the magnitude of for a plane wave in free space. Explain the concept of Maxwell’s displacement current and show how it leads to the modification of Ampere’s circuital law. Prove that the electromagnetic wave are transverse in nature. The relative permeability of distilled water is 81. Calculate the refractive index and velocity of light in it. If the earth receives 2 cal min – 1 cm -2 solar energy, what are the amplitudes of electric and magnetic fields of radiation? Assuming that all the energy from a 1000 watt lamp is radiated uniformly, calculate average values of intensities of electric and magnetic fields of radiation at a distance of 2 m from the lamp. Using Maxwell’s relation and prove that is the equation of continuity. Q. 10 For silver, and σ = 3 x 10 7 mhos/m, calculate the skin depth at 10 8 Hz frequency. Q. 11 If in a time invariant field, the magnetic field associated with a plane electromagnetic wave has only z – component which is expressed as then obtain an expression for current density Q. 12 A plane electromagnetic wave propagating in the x – direction has a wavelength 7.00 mm. The electric field is in the y – direction and its maximum magnitude is 42 V/m. Write suitable equations for the electric and magnetic fields of EM wave. Q. 13 Show that the Maxwell’s equation in vacuum can be reduced as , and Q. 14 Ocean water can be assumed to be non magnetic dielectric with and σ = 4.3 mhos/m. (a) Calculate the frequency at which the penetration depth will be 10 cm and (b) show that for frequencies less than 10 8 Hz , it can be considered as good conductor.