A flexible loop of conducting wire has a radius of 0.12 m and is perpendicular to a uniform magnetic field with a strength of 0.15 T,as in figure (a) below.The loop is grasped at opposite ends and stretched until it closes to an area of (3)(10^-3)(m^2), as in figure (b) below. If it takes 0.20s to close the loop, find the magnitude of the average emf induced in the loop during this time.

What is the induced emf in the below coil if it is moving upward at 4.2 m/s in a uniform magnetic field of magnitude 0.82 T? What if instead, the field decreased as 0.82e-3t T over 0.1 s, now what is the induced emf? Also which way does the ENC go?

A 42 turn conductive loop encloses an area of 0.68 m2. At what constant rate should the magnetic field directed perpendicular to the loop change with time if the induced emf is to be 3.6 Volts? Consider only positive numbers here in your answer.

A 36 turn conductive loop encloses an area of 0.69 m2. At what constant rate should the magnetic field directed perpendicular to the loop change with time if the induced emf is to be 4.12 Volts? Consider only positive numbers here in your answer.

An MRI technician moves his hand from a region of very low magnetic field strength into an MRI scanner's 2.10 T field with his fingers pointing in the direction of the field. His wedding ring has a diameter of 2.11 cm, and it takes 0.320 s to move it into the field.   (a)What average current is induced in the ring if its resistance is 0.0100 Ω? (Enter the magnitude in amperes.) A   (b)What average power is dissipated (in W)? W (c)   What average magnetic field is induced at the center of the ring? (Enter the magnitude in teslas.)T

(d) Calculate the magnitude of torque (in Nm) exerted by the magnetic field on the coil at the instant when the emf is a maximum. N.m (e) What is the maximum power delivered to the coil (in W)? W (f) What If? If the coil is constructed from aluminum wire, what is the cross-sectional area of the wire (in m²)? The resistivity of aluminum is 2.82 x 10-8 Q. m. m² (g) What If? Suppose the coil now has the same number of turns, dimensions, and resistance, but the maximum current that the wire can now safely carry is 4.50 A. What now is the maximum angular speed (in rad/s) with which the coil can be rotated in the same 2.20 T magnetic field? rad/s