• b) If there’s a chance of existing monopoles, then Maxwell’s equation requires two more terms: Magnetic charges (ρ*) and Magnetic current density (J*). Now write Maxwell’s 4 equations using these terms. Also, show that, . *= - ρ*
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a) State the relationship between magnetic flux and flux density. Also explain Gauss's law for electric and magnetic fields. Show that, V. E =0, if E= (100/r) p + 40 z. [Cylindrical co-ordinate system. You can take the help of internet to perform the calculation] b) If there's a chance of existing monopoles, then Maxwell's equation requires two more terms: Magnetic charges (p*) and Magnetic current density (J*). Now write Maxwell's 4 equations using these terms. Also show that, V. J*= -p* a at c) Explain the significance of Bigt-Savart Law in deriving Maxwell's 4 equation. By applying Biot-Savart Law, prove 6 H. di = 1 for a uniform path. d) Determine electric field (if possible), E at (2, 5, -4) due to a possible vector potential, V = (x?) i+ (2y)j+ (4z) k. If you cannot determine the electric field due to this vector version of potential; please explain the reason in detail. e) Write down the differences between conducting current and conducting current density. How does the current pass through a conductor and capacitor? f) Explain the physical meaning of E = - Vv. Show that for a charge free region, V. D = 0 and V. E = 0. g) Using Stokes theorem, explain the condition under which the closed line integral of magnetic field will be zero. By applying Gauss's Law, determine whether the given vector field could be a magnetic field or not. B (xx) = a cos (bx) + aby sin (bx) j ) Given, E = 10 cos (27x106 t-Bz) y V/m. Find the wavelength and B At z = 0, N4, sketch the wave shapes Find the magnetic field, H jD i Determine the work done in the field, E =x g if -5C charge is carried from (2,1-1) to (4,2,-1). 11. Why do we use round shaped coils (Le. Round shaped turns in the coils) in both the primary and secondary circuits [If those coils were not round shaped, what would be the problem]? *** You should draw figures to make your explanations strong. b) If there's a chance of existing monopoles, then Maxwell's equation requires two more terms: Magnetic charges (p*) and Magnetic current density (J*). Now write Maxwell's 4 equations using these terms. Also show that, V. J*= -p* a