A circular metal plate of radius R is rotating with a uniform angular velocity ω with its plane perpendicular to a uniform magnetic field B. Then the emf developed between the centre and the rim of the plate is
(a) πωBR²
(b) ωBR2(c) πωBR² / 2(d) ωBR²/ 2
Answers
Answered by
0
Correct Answer : option D: ωBR²/ 2
Explanation :
At a distance t, the velocity is
u= φωˆ r
where φ is the angle in the x–y plane
The induced voltage is
v=∫ (uxB).dl
=∫(φωˆ r
)ˆ Bz rˆ dr
z is along r. Hence,
V= ωB∫rdr
=ωBr²/2
Similar questions