A long solenoid of radius R, having N turns per unit length carries a time depend current I(t) = I0 sin (ωt). The magnitude of induced electric field at a distance R/2 radially from the axis of the solenoid is

\(\frac{R}{2}{\mu _0}N\;{I_0}\;\omega \sin \left( {\omega t} \right)\)

\(\frac{R}{2}{\mu _0}N\;{I_0}\;\omega \cos \left( {\omega t} \right)\)

\(\frac{R}{4}{\mu _0}N\;{I_0}\;\omega \cos \left( {\omega t} \right)\)

\(\frac{R}{4}{\mu _0}N\;{I_0}\;\omega \sin \left( {\omega t} \right)\)

A long solenoid of radius R, having N turns per unit length carries a

1.	A long solenoid of radius R, having N turns per unit length carries a time depend current I(t) = I0 sin (ωt). The magnitude of induced electric field at a distance R/2 radially from the axis of the solenoid is
A.	\(\frac{R}{2}{\mu _0}N\;{I_0}\;\omega \cos \left( {\omega t} \right)\)
B.	\(\frac{R}{4}{\mu _0}N\;{I_0}\;\omega \cos \left( {\omega t} \right)\)
C.	\(\frac{R}{2}{\mu _0}N\;{I_0}\;\omega \sin \left( {\omega t} \right)\)
D.	\(\frac{R}{4}{\mu _0}N\;{I_0}\;\omega \sin \left( {\omega t} \right)\)
Answer» C. \(\frac{R}{2}{\mu _0}N\;{I_0}\;\omega \sin \left( {\omega t} \right)\)

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A long solenoid of radius R, having N turns per unit length carries a time depend current I(t) = I0 sin (ωt). The magnitude of induced electric field at a distance R/2 radially from the axis of the solenoid is

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