A solenoid of radius r and length l has a current i= i not coswt the value of induced electric field at a distance r outside the solenoid
a. (μnIωR^2/2r)sin ωt
b. (μnIωR^2/r)sin ωt
c. (μnIR^2/2r)sin ωt
d. zero
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The value of electric field is E = μonImax ωR^2 / 2r sinωt
Explanation:
The changing magnetic flux inside the solenoid also induces the electric field
At a coaxial distance r > R ∫ E⋅dl = − dϕ / dt
E∫dl = − d/dt (BA cos0° )
⇒ E(2πr) = − d / dt (μonI)(πR^2 )
E = − μonR^2/2r d / dt (I max cosωt)
E = μon Imax ωR^2 / 2r sinωt
So, the value of electric field at a distance r outside the solenoid is
E = μonImax ωR^2 / 2r sinωt
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