MHT CET20242 May 2024Morning ShiftPhysicsElectromagnetic InductionActual
A bicycle wheel of radius ' R ' has ' n ' spokes. It is rotating at the rate of ' F ' r.p.m. perpendicular to the horizontal component of earth's magnetic field B . The e.m.f. induced between the rim and the centre of the wheel is
Options
- A1 2 ~B FR ^2
- BB FR ^2
- C1 n B FR
- DB FR ^2 n
Correct answer
B. B FR ^2
Step-by-step solution
As the angular velocity is constant, the linear velocity changes from 0 to R as we move from the axle to the rim. Average velocity v _ avg = R 2 We know motional e.m.f, E _ mot = B / v aligned E _ mot & = B R R 2 = BR ^2 2 ~F 2 & = B FR ^2 aligned