1. The figure shows three metal coils labeled A, B, and C heading towards a region where a uniform static magnetic field exists. The coils move with the same constant velocity and all have the same resistance. Their relative sizes are indicated by the background grid. As they enter the magnetic field the coils will have an induced electric current in them. For which coil will the current be the greatest? Explain your answer. A B -> C

The magnetic field at the center of a solenoid L = 75 cm long is B = 0.11 T when a current of I = 3.5 A flows through the solenoid wire.   1. Solve the formula for the magnetic field near the center of a long, tightly wound solenoid for the number of turns, N, in the solenoid. The expression should be in terms of the given variables.  2.  Calculate the value of the number of turns, N.

A small circular coil of 20 loops of wire having a radius of 1 cm is at rest in the X-y plane (so the normal to the loop points in the +z-direction). A uniform magnetic field of 0.5 T is turned on in the +x-direction. What is the magnetic flux through the loop? a. 7.85 x 10 Tm² b. 1.57 x 10 4 T m² O c. 3.14 x 10 3 T m2 O d. 0 T m2

In a certain region of empty space, Ez = at, where a is a constant, but Ey and Ex are constant in time. a. What is the magnitude and direction of the magnetic curl in this region in terms of a? b. Suppose that, in this particular case, B always points in the +y direction and is zero on the x = 0 plane. Find By as a function of t, x, y, and z.  (Hint: the answer is By = Ɛ0μ0ax + C) c. Assume that a = 1000 (N/C) / s. What is the numerical rate at which By increases or decreases with increasing x at a given instant of time? Do the units make sense?

A straight conductor carrying a current i = 6.0 A splits into identical semicircular arcs as shown in the figure. What is the magnetic field at the center C of the resulting circular loop, which has a radius of 5.1 cm? Number i Units

You drop a magnet north pole side down from a height (h) into a loop of wire, inducing a current. Draw a graph showing how the induced current in the loop depends on time as the magnet falls through the loop. Does the magnitude of the induced current depend on h?

A thin, 51.0 cm long metal bar with mass 760 g rests on, but is not attached to, two metallic supports in a uniform magnetic field with a magnitude of 0.400 T, as shown in. A battery and a resistor of resistance 28.0 are connected in series to the supports. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Magnetic force on a straight conductor. Part A What is the largest voltage the battery can have without breaking the circuit at the supports? Express your answer in volts. ΓΠ ΑΣΦ V = ? V V XX B R X X X X X