AP EAMCET202419 May 2024Evening ShiftPhysicsElectromagnetic WavesActual
Magnetic field at a distance of r from z axis is B ₀ r t k present in the region. ' B ₀ ', is constant and ' t ' is time. The magnitude of induced electric field at a distance of r from z -axis is
Options
- AB ₀ r^3 3
- B2 ~B ₀ r 3
- CB ₀ r^2 2
- DB ₀ r^2 3
Correct answer
D. B ₀ r^2 3
Step-by-step solution
B = B _ 0 rt k By Maxwell's equation, aligned & E ~d l = |- d dt | & E (2 r )= d dt ( ~B (2 r ) dr )= d dt ( 2 ~B _ o tr ^2 dr ) & E (2 r )= d dt (2 ~B _ o t r ^3 3 )= 2 ~B ₀ r ^3 3 & E = B ₀ r ^2 3 aligned