Circular region of radius $R$ has uniform magnetic field $B = {B_0} + {B_0}t\left( { - \hat k} \right).\,At\,\,t\, = 0\,$ acceleration of charged particle
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$\pi \mathrm{R}^{2} \mathrm{B}_{0}=\mathrm{E} \times 2 \pi \mathrm{r}$
$\mathrm{E}=\frac{\pi \mathrm{R}^{2}}{2 \pi \mathrm{r}} \mathrm{B}_{0}=\frac{\mathrm{R}^{2} \mathrm{B}_{0}}{2 \mathrm{r}}$
$a=\frac{q E}{m}=\frac{q}{m} \frac{R^{2} B_{0}}{2 r}=\frac{q B_{0} R^{2}}{2 m r}$
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