Three students are discussing a rectangular wire loop being pulled at constant s

Question

Three students are discussing a rectangular wire loop being pulled at constant speed in a region where there is a uniform magnetic field as shown above. Each makes a statement about what they believe is physically true. Only one is correct. Alicia says: "If a rectangular loop is pulled into a region where there is a uniform magnetic field, the rate of change in magnetic flux will increase as more of the loop is moved into the field." Banji says: "The rate of change of magnetic flux through the loop will be constant as the loop moves into the field because the speed of the loop is constant." Colin says: "No, the rate of change of magnetic through the loop is zero since the loop is moving at constant speed. Which of these students is correct? Explain your reasoning!

Explanation / Answer

The statement given by Allicia is correct that the rate of change of magnetic flux will increase as more of the loop is pulled in the magnetic field as

Flux, E = -d(BA)/dt

now for uniform magnetic field, B is constant, so

E = -BdA/dt

as the area is increasing with time , so will the flux

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