If a circular loop of wire of radius 17.0 cm is located in a region where the spatially uniform magnetic field perpendicular to the plane of the loop is changing at a rate of +1.7 ✕ 10−3 T/s, find the value of the induced EMF in this loop due to this changing magnetic field.

A coil of area A = 0.25 m2 is rotating with angular speed ω = 380 rad/s with the axis of rotation perpendicular to a B = 0.55 T magnetic field. The coil has N = 550 turns.   Part (a)  Express the maximum emf induced in the loop, ε0, in terms of A, ω, B, and N.  Part (b)  Calculate the numerical value of ε0 in V.

A coil is wrapped with 500 turns of wire on the perimeter of a circular frame (radius = 8.6 cm). Each turn has the same area, equal to that of the frame. A uniform magnetic field is applied perpendicular to the plane of the coil. This field changes at a constant rate from -8.0 to -7.5 mT in a time of 7.7 ms. What is the magnitude of the induced emf in the coil at the instant when the magnetic field has a magnitude of −7.75 mT?

A neurologist is using a device, with a thin circular coil of current-carrying wire of radius 2.0 mm, to stimulate neurons in a patient's brain. The coil is placed directly against the patient's skull, and everywhere within the area of the coil, the magnetic field changes from zero to 1.10 T (perpendicular to the plane of the coil) in 100 ms.   What is the magnitude of the average emf induced around the circumference of this circular area in the brain? Express your answer in units of mV.