4. Consider a tiny piece of copper at the Equator, in the shape of a rectangular

Question

4. Consider a tiny piece of copper at the Equator, in the shape of a rectangular block with dimensions (L, W, H) = (7.3, 1) microns. The block of copper moves through the magnetic field of the Earth (0.5 G, pointing directly northward). CD PHY 212 1/4 Homework 05 (a) In what direction would the block need to move in order to maximize the magnetic force on the free electrons inside? (b) If the block moves in the appropriate direction per the previous part, then what should be the orientation of the block in order to maximize the induced emf across it? (c) What would be the value of the induced emf across the block if it moves according to the correct responses to the above questions at a speed of 300 m/s? (d) If the block is oriented with L parallel to the Equator and the largest face parallel to the ground, and a current of 57 mA is passed through it, then what induced emf will develop across the block, and which face will be positive? he figure represents a loop of wire in the zy plane composed of a small arc of radius adrant, large arc of radius 10R in the second quadrant, and a ach connected to each other by

Explanation / Answer

(a)we know that the magn etic force is given by:

F = B I L sin(theta)

the value of sin(theta) is maximum when theta = 90 deg

Hence, it should move in East

b)As we know

F = B I L sin(theta)

So more the length more will be the force

the longest side is L

Hence, it should move with L facing the field

c)We know that motional emf is given by:

emf = v B L

emf = 300 x 0.5 x 10^-4 x 7 x 10^-6 = 1.05 x 10^-7 V

Hence, emf = 1.05 x 10^-7 V

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