2. F araday\'s law: When the magnetic flux inside a closed loop of wire (coil) c

Question

2. F araday's law: When the magnetic flux inside a closed loop of wire (coil) changes, emf is induced in the wire, IV] t-ti, emf The induced emf generates a current in the wire, I = The direction of the current is determined by the Lenz's law. Q 2.1 A square coil parallel to page enters a region where a uniform magnetic field is directed perpendicularly into page, travels through the region at a constant speed, and exits. An edge of the square is a 20cm and its speed is v 25m/s: The magnitude of the magnetic feld is B 0:5T. (a) Find the magnitude of the emf when it is entering the region. (b) Find the magnitude of the emf when it is at the center of the region. (c) Find the magnitude of the emf when it is exiting the region. (d) How does the magnitude of the emf change in time?

Explanation / Answer

a)

B = magnetic field = 0.5 T

L = length = a= 20 cm = 0.20 m

v = speed = 25 m/s

induced emf is given as

E = BLv

E = 0.5 x 0.20 x 25

E = 2.5 Volts

b)

at the center of the region. the magnetic flux of the coil remain same since magnetic field is constant and all of its area is inside the magnetic field. so nether B nor A are changing. hence there will be no induced emf

c)

while exiting the region

B = magnetic field = 0.5 T

L = length = a= 20 cm = 0.20 m

v = speed = 25 m/s

induced emf is given as

E = BLv

E = 0.5 x 0.20 x 25

E = 2.5 Volts

d)

as the coil enters , we have induced emf . after the coil is completely inside the magnetic field, noemf is induced during that time.and then as the coil exit, again there is emf induced.

so graph b)

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