A square coil ℓ = 2cm on a side with 30 turns rotates in a uniform magnetic field, B~ = B0zˆ = 0.1Tˆz, such that the normal of the coil is aligned with the field once per rotation. The coil rotates once every T = 5s and starts with its normal parallel to the field. (a)Write the magnetic flux as a function of time symbolically. Report the numeric values for any constants you introduce separately. (b)Compute the induced emf at t = 12.5s. Report both a symbolic and numeric value.

a) 1.2*10^{-3}cos(1.25t)

b) 0.49mV

Explanation:

a) The coil rotates periodically with period T. Hence, we can write the variation of the magnetic flux with a sinusoidal function, and with max flux NAB. Thus, we have that:

where we have used the values given by the information of the problem for N B and A.

b)

the emf is given by:

hope this helps!!

wire in brush may conduct electricity from cell to drill and vice versa electrc shock possible

answer would be letter choice (a),   a ball resting on a shelf. would be another example of potential energy   >   stored energy > not moving.

a ball spinning on a finger   >   kinetic energy > moving energy

a ball rolling on the ground   >   kinetic energy   > moving energy

a   ball flying through the air   > kinetic energy   >   moving energy

hope that                                         : )