Please answer all the following items (1, 2, 3, 4, 5). Please show your complete solution and the formula that you use to find the answer. Thank you so much.

1. Find the magnitude of the emf induced in a loop of wire with an area of 100 cm2 that is positioned perpendicular to a uniform magnetic field. The magnetic field experienced by this loop is reduced by 0.10 T in a time interval 10 ms. 2. A circular coil has 200 turns and a radius of 20 cm. It was placed in a uniform magnetic field in such a way that the field lines are perpendicular to the plane of the coil. The field changes uniformly from 0 to 0.5 T in a second. Calculate the induced emf in the coil. 3. A single loop of wire with an area of 0.0750 m2 is in a uniform magnetic field that is perpendicular to the plane of the loop. What emf is induced in the loop if the magnetic field is decreasing at a constant rate of 0.200 T/s? 4. A circular coil of wire with 500 turns and a radius of 10 cm is placed horizontally on a table. A uniform magnetic field pointing directly into the wire and perpendicular to its surface is slowly turned on, such that the strength of the magnetic field can be expressed as a function of time as B(t) = 0.01t^2. What is the total emf in the coil as a function of time? 5. A coil 2.00 cm in radius, containing 400 turns, is placed perpendicularly in a uniform magnetic field that varies with time according to B = 0.0120t + 0.00003 t^4. Find the magnitude of the induced emf in the coil as a function of time