A 500-turn square coil of wire is hinged to the top of a table, as shown in the (Figure 1). Each side of the coil has a length of 0.50 m. Figure W 20 → C Z Nim N 1 Determine the magnitude of the torque acting on the free end of the coil and caused by a 0.30-T field pointing westward when there is a 0.80-A current through the wire and when the coil is parallel to the table. Express your answer with the appropriate units. ? S Hinge Hinge IE

QUESTION 5 a) A magnetic circuit consists of a toroidal silicon sheet steel with relative permeability 4, of 150, and a small air gap. A current I flows through 200 turns of wire wrapped around the toroid. The magnetic flux of the circuit is 5 x 10-9 Wb. The total length of the circuit is 0.8 m, and the cross-sectional area of the toroid is10-*m². The length of the air gap is 0.07 m. Find i. The total reluctance and inductance of the circuit ii. Magnetomotive force and hence the current. Ho = 4n x 10-7 H/m b) Differentiate between faraday law of electromagnetic induction and Lenz law and discuss their practical importance c) Using stokes theorem, prove that the divergence of curl of a vector is zero

The figure above shows a 40.0cm thin metal bar, with mass of 900g, that rests on two conducting metal supports that is connected to a battery and a 25 ohm resistor. The metal bar is placed under a uniform 0.50-T magnetic field. (a) What is the highest voltage, vmax, the battery can have without breaking the circuit at the supports?

a) What rate must the magnitude of B change to induce a 6A current in the loop?  b) What ar ethe magnitude and direction of the current around the loop at the moment t=3s?