A square loop of conducting wire is moved with a constant velocity v from a region of zero magnetic field into a region of uniform magnetic field and then out again into a field-free region. If the area of the loop is 1.6 x 10^-3 m^2 and v=2.5m.s^-1, calculate the magnitude of the magnetic field that could induce an EMF of 5.0mV in the loop during its motion.
could anyone show me how to work out this problem?
could anyone show me how to work out this problem?
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Using Faraday's Law .. E = (-) n.∆(BA/t)
n = 1
∆(A/t) .. length of a side of the square loop, L = √1.60^-3 m = 0.04 m
∆(A/t) = L(m) x v(m/s) = m²/s .. .. 0.04m x 2.50m/s = 0.10 m²/s
E = (-) B.∆(A/t) ..
5.0^-3 V = B x 0.10 m²/s .. .. B = 5.0^-3 / 0.1 .. .. .. ►B = 5.0^-2 T
n = 1
∆(A/t) .. length of a side of the square loop, L = √1.60^-3 m = 0.04 m
∆(A/t) = L(m) x v(m/s) = m²/s .. .. 0.04m x 2.50m/s = 0.10 m²/s
E = (-) B.∆(A/t) ..
5.0^-3 V = B x 0.10 m²/s .. .. B = 5.0^-3 / 0.1 .. .. .. ►B = 5.0^-2 T