Question

Problem 22.17 A coil of wire is connected to a power supply, and a current runs in the coil. A single loop of wire is located near the coil, with its axis on the same line as the axis of the coil. The radius of the loop is 4 cm Power supply + Loop Coil At time 1 the magnetic field at the center of the loop, due to the coil, is 0.7 T, in the direction shown in the diagram; the current in the coil is constant (a) What is the absolute value of the magnetic flux through the loop at time t? T-m2

Answer 1

(a) The magnetic flux is =B4 =(0.7)(1)(0.04) = 3.52x10-3 Tm? (b) For the part (a) the magnitude of the magnetic field due to the coil is uniform over the area of the loop and the magnetic field due to the coil is uniform over the area of the loop but the outside the loop the magnetic field is not equal to zero hence the correct option is 1 and 2 (c) The magnetic field is not changing. Hence the curly electric field is, E = 0 at t inside the wire. (d) Use the right hand rule the direction of the curly electric field in the counter clockwise direction (e) The rate change of the magnetic flux is |dod(BA) lat at dB = 4 = 1(0.04) (-0.3) =1.51*10Tm/s The induced emf is ε = * = 1.51x10*V The electric field is E = [E.d = E(A) = E(2nr) 2nr 1.51x10 27(0.04) = 6.0x10 V/m The electric field at the point p is same as the time t2 E = 6.0x10 V/m