Flag Electromagnetic Induction> a metal disc of radius R rotates with an ...
question mark

a metal disc of radius R rotates with an angular velocity omega about an axis perpendicular to its plane passing through its centre in a magnetic field of induction B acting perpendicular to the plane of the disc. the induced emf betwen the rim and the axis of the disc is

aishwarya , 7 Years ago
Grade 11
anser 1 Answers
Arun
Imagine any radial line (from centre) drawn on the disc representing a wire that rotates .. the emf across this rotating wire has the same emf across it's ends as the disc would between it's rim and the centre ..  

The rate area is swept by this conductor .. dA/dt = πR² / rotation time 
time for 1 rotation = 2π rad(1rev) / ω rad/s .. .. t = 2π/ω (s) 

dA/dt = πR² / (2π/ω) = R²ω/2 .. (m²/s) 

From Faraday's law for electromagnetic induction .. emf E = (-) B x dA/dt 

.. ►E = (-) R²ωB / 2 .. .. (Volt)
Last Activity: 7 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments