B=-Bo X @ y A coil of 15 turns, each of radius 1 centimeter, is rotating at a constant angular velocity @ = 300 radians per second in a uniform magnetic field of 0.5 tesla, as shown in the figure above. Assume at time t = 0 that the normal n to the coil plane is along the y-direction and that the self- inductance of the coil can be neglected. If the coil resistance is 9 ohms, what will be the magnitude of the induced current in milliamperes?

Two coils, 1 and 2, are separated in space, and have a fixed distance between them. When coil 2 has no current and the current in coil 1 increases at the rate of 24.0 A/s, the emf in coil 2 is 30.0 mV. What is their mutual inductance, M?

A solenoid is made from a wire wound around a tube 36.0 cm long having a diameter of 8.00 cm. If there are 580 turns of wire, find the inductance of this solenoid. If the current in the solenoid increases at the rate of 4.0 A/s what is the self-induced emf in the solenoid?

. The following picture shows a LONG conductor carrying current 1. Nearby there is a conducting rectangular loop with sides a = 8 cm and b = 4 cm. The loop also carries a resistance R = 10 ohms. The curent is constant and has a value of I = 6.0 Amperes. The loop is moving away to the right with a constant velocity, V = 2 m/s. Answer the following questions at the instant of time t" when the left edge of the loop is at position "x" as shown below Use the coordinate system , x to the right, y into the board, z upward a) Write an expression for the magnetic field as a function of the distance "x" (from the LONG conductor to the loop. ) USE “+" for CCW circulation and “.“ for CW circulation. b) Write the magnetic field in "i-j-k" format at point "x" to the right of the current carrying wire in the "i-zZ" plane R a c) Write the infinitesimal area vector for the loop in "i-j-k" format d) Write the explicit integral for the magnetic flux through the area of the loop using the answer for B and…