A 113-turn circular coil of radius 6 cm is placed in a uniform magnetic field directed at 30 degrees with the plane of the coil. The magnitude of the magnetic field varies in time according to -3t B(t) = 2.0 e +3.0 where B is in Tesla and time in seconds. Calculate the induced emf in the coil at the time t = 1.0 s.

A coil of 12.0 turns is in the shape of an ellipse having a major axis of 13.0 cm and a minor axis of 2.00 cm. The coil rotates at 105 rpm in a region in which the magnitude of the Earth's magnetic field is 55 ?T. What is the maximum voltage induced in the coil if the axis of rotation of the coil is along its major axis and is aligned in the following directions. Note: that the area of an ellipse is given by A = ?ab, where a is the length of the semimajor axis and b is the length of the semiminor axis. (a) perpendicular to Earth's magnetic field ?V (b) parallel to Earth's magnetic field V

A uniform magnetic field makes an angle of 30 degrees with the normal to the surface of a circular loop of 300 turns and radius of 4 cm. The magnetic field changes at a rate of 85 T/s. Determine the magnitude of the induced emf in the loop.

(a) A 14.0 m long, thin, uniform steel beam slides north at a speed of 20.0 m/s. The length of the beam maintains an east-west orientation while sliding. The vertical component of the Earth's magnetic field at this location has a magnitude of 32.0 µT. What is the magnitude of the induced emf between the ends of the beam (in mV)? mV (b) What If? The east end of the beam impacts and sticks to a pylon, causing the beam to rotate clockwise as viewed from above. While the beam rotates, what is the magnitude of the induced emf between the ends of the beam (in mV)? (Hint: use conservation of angular momentum to find the speed of the beam after the collision.) mV