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Application of Faraday's law of electromagnetic induction

(See attached file for full problem description with proper symbols and diagrams)

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1. How fast would you have to move a 1.0 m long conductor to produce a motional emf of 1.0 V in a 4 x 10^ -4 T magnetic field (assume that the conductor moves perpendicular to the field)?

If a resistance of 0.5 ohm is connected across the end of the conductor, what would be the current through the conductor and the force on that conductor?

2. A circular coil of radius 10cm is placed in a magnetic field of strength 1.0 T as shown (see attachment)

a) Calculate the magnetic flux through the coil.
b) If the coil were rotated about the y axis by 30 deg, 45 deg. Calculate the flux.

3. A circular coil is placed in a magnetic field as shown (see attachment) (magnetic field points in the direction inside the paper).

If the magnetic field is increased steadily in strength, will there be an induced current in the loop? if so in which direction (cw or ccw)?

If the magnetic field is decreased steadily in strength, will there be an induced current in the loop? if so in which direction (cw or ccw)?