A square loop made of copper wire is falling out of a region where there is a ma

Question

A square loop made of copper wire is falling out of a region where there is a magnetice field Bext = 0.14 T. The loop is falling with a constant velocity because of the current induced in the loop.

What is the velocity of the loop? Give your answer in m/s to at least three significant digits.

It will be useful to know that:

The mass density of copper (mass per volume) is 9.0x103 kg/m3.

The resistivity of copper is = 1.7x10-8 -m.

Remember that the resistance of a wire of length L and cross-sectional area A is R = L/A.

Explanation / Answer

loop is falling with a constant velocity

=> mg = BIL ( gravitational force = magnetic force)

=>  9.0x103 *A*L*9.8 = B*VBL/R*L =  B*VBL*A/

=> V = 9*10^3*9.8*1.7*10^-8/(0.14)^2 = 0.0765 m/s OR 7.65 cm/s

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