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  4. A circular ring of radius r is placed in a homogeneous magnetic field perpendicular to the plane of the ring. The field B changes with time according to the equation B=K t, where K is a constant and t is the time. The electric field in the ring is

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Q. A circular ring of radius $r$ is placed in a homogeneous magnetic field perpendicular to the plane of the ring. The field $B$ changes with time according to the equation $B=K t$, where $K$ is a constant and $t$ is the time. The electric field in the ring is

Electromagnetic Waves

Solution:

$\oint \vec{E} d \vec{l}=\frac{d \phi_{B}}{d t}$
or $E 2 \pi r=\frac{d}{d t}\left(K t \times \pi r^{2}\right)$
or $E=\frac{K r}{2}$