A square coil made of 25 loops of wire moves into a region with a magnetic field

Question

A square coil made of 25 loops of wire moves into a region with a magnetic field of 0.40 T at 3.0 m/s. The shape of the coil is a square with 20 cm long sides. What is the magnitude and direction of the induced emf at the moment shown below, and when the coil is completely within? n = 25 B = 0 40 T, v = 3 m/s, a = 20cm = 2m e-nBlv = nBav = 25(.40)(.20)(3) e = 6V Field is into the page and flux is increasing as the loop moves into it Lenz's Law shows that the induced emf is counterclockwise When the coil is completely within the field there is no change in flux so there is no induced emf. e = 0

Explanation / Answer

n = 25 ; B = 0.40 T, v = 3m/s , a = 20 cm = 0.2 m ,
Area of rectangular loop = 0.2^2 = 0.04 m^2
Emf developed in a loop is given as:
note the l to be taken is the one which is changing , in our case l = 20-9 = 11 cm =0.11m
e = Blv
for n loops total emf induced E = n e = nBlv = 25*0.4*0.11*3 = 3.3 volts

b) when coil is completely inside the field . the net flux c hange is zero , hence no induced emf , E = 0

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