KVPY2017PhysicsElectromagnetic Induction
A square-shaped wire loop of mass m , resistance R and side 'a' moving with speed v₀ , parallel to the x -axis, enters a region of uniform magnetic field B , which is perpendicular to the plane of the loop. The speed of the loop changes with distance x(x < a) in the filed, as
Options
- Av₀- B ² a ² Rm x
- Bv₀- B ² a ² 2 Rm x
- Cv₀- B ² a Rm x ²
- Dv ₀
Correct answer
A. v₀- B ² a ² Rm x
Step-by-step solution
F = i B = vBa Ba R ma = vB ² a ² R - mdv dt = vB ² a ² R - m vdv dx = v B ² a ² R - m _ v ₀ dv = B ² a ² R ₀^ x d x - m ( v - v ₀ )= B ² a ² x R v = v ₀- B ² a ² mR x