Question #262202

A rectangular loop of wire is ℓ

ℓ = 800 mm

mm long and w

w= 500mm

mmwide. You bend the ℓ

ℓ sides into a semicircle while keeping the w

w sides straight, as shown in (Figure 1), and then move the curved loop at speed v

vv= 0.900m/s

m/s into a uniform magnetic field of magnitude B

BB= 0.600T

T. One of the sides labeled w

w is the leading edge of the moving loop, and the magnetic field direction is perpendicular to the plane CDEF What is the value of the emf induced in the loop?



Expert's answer


l = 800 mm = 0.8 m

W = 0.5 m

v = 0.90 m/s

B = 0.60 T

For the value of emd induced in the loop is E

E=B×v×WE=0.60×0.90×0.5  VE=0.27  VE = B \times v \times W \\ E = 0.60 \times 0.90 \times 0.5 \; V \\ E = 0.27 \; V

The value of emf induced is 0.27 V

Using Lenz's law the direction of current is D to C the direction of current is CFED


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