Switch $S$ of circuit shown in figure is in position $1$ for a long time. At instant $t = 0$ , it is thrown from position $1$ to $2$ . The thermal power $P_1(t)$ generated in resistance $R_1$
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$\mathrm{i}=\frac{\mathrm{E}}{\left(\mathrm{R}_{1}+\mathrm{R}_{2}\right)} \cdot \mathrm{e}^{\frac{-\mathrm{t}}{\left(\mathrm{R}_{1}+\mathrm{R}_{2}\right) \mathrm{C}}}$

$P_{1}=i^{2} R_{1}=\frac{E^{2} R_{1}}{\left(R_{1}+R_{2}\right)^{2}} \cdot e^{\frac{-2 t}{\left(R_{1}+R_{2}\right) C}}$

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