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?
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- 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…
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- At the instant a current of 0.90 A is flowing through a coil of wire, the energy stored in its magnetic field is 4.0 x 10 J. What is the self-inductance of the coil (in H)?Coil A is a large 300 turn circular coil of radius 77 cm. Circular coil B has 390 turns, a radius of 5 cm and is located L=99 cm from coil A along the same axis. The planes of the two coils are parallel. A) Find the approximate mutual inductance of this pair of coils. for my answer I got 3.527E-10 H which was wrong B) If the current in coil A varies with time according to I=3t3−8t2−1, where I is in amps and t is in s, find the magnitude of the EMF induced in coil B at time t=2 s.A toroid of square cross section has inner radius r₁ = 0.040 m and outer radius r2 = 0.070 m. If it has N = 200 loops, calculate the total magnetic energy in the toroid if the current is i = 3.0 A. This may be done by finding the inductance, or by integrating the magnetic energy density. ○ 1.3 × 10-4 J ○ 2.0 × 10-3 J ○ 9.1 x 10-6 J ○ 6.0 × 10-4 J