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(a) A straight conducting wire is placed perpendicularly to the earth magnetic field at a location. The earth magnetic field at the location has a magnitude of 0.450 G. Determine the current that must flow in the wire for a 9.50 cm length of the wire to experience a magnetic force of 1.50 N due to the earth magnetic field. A wire of length 1.0 m carries a current of 1.0 A. The wire is formed into a circular coil and the circular coil has one turn only. Determine the magnitude of the maximum torque which is developed on the coil if it is placed in magnetic field of 2.0 T.

A proton is moving in the positive x-direction as shown in Figure 2 with a speed of 1.25 × 106 m s¯¹. Then, the proton enters the region between the two plates.The potential difference between the plates is 200 V. The electric potential of the upper plate is higher than the electric potential of the lower plate. The separation distance between the plates is 35.0 mm. Determine the direction and the magnitude of the magnetic field that is required between the plates for the proton to continue traveling in a straight line in the positive x-direction.

Fig: 1

Fig: 2

Fig: 3

Fig: 4