Question

"I" in the same direction. oven 1% a. The net magnetic field at a point midway between the two wires. b. The net magnetic field at a point a distance "a" above the upper wire Cl 4. A solid conductor of radius "a" is supported on the axis of a conducting tube with inner radius "b" and outer radius "c". The central conductor and tube carry equal currents "I" in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. Derive an expression for the magnetic field as a function of r for each region. Plot B(r ).

Answer 1

From the amperes circuit law, integral Vector V Vector mu = mu_o I B (2 pi r) = mu_0 I B = mu_0 I/2 pi r, a < r < b integral B = mu_0 I_closed B (2 pi r) = mu_0 (I - I) B = 0 r greaterthan c