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AP EAMCET · PHYSICS · Electromagnetic Waves

Magnetic field at a distance of r from z axis is \(\mathrm{B}_0 r t \hat{k}\) present in the region. ' \(\mathrm{B}_0\) ', is constant and ' t ' is time. The magnitude of induced electric field at a distance of \(r\) from z -axis is

  1. A \(\frac{\mathrm{B}_0 r^3}{3}\)
  2. B \(\frac{2 \pi \mathrm{~B}_0 r}{3}\)
  3. C \(\frac{\mathrm{B}_0 r^2}{2 \pi}\)
  4. D \(\frac{\mathrm{B}_0 r^2}{3}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{\mathrm{B}_0 r^2}{3}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{B}=\mathrm{B}_{\mathrm{0}} \mathrm{rt} \hat{\mathrm{k}}\) By Maxwell's equation,…