Regarding the given circuit, the correct statement is:
Regarding the given circuit, the correct statement is:

- $\left(\mathrm{V}_{\mathrm{a}}-\mathrm{V}_{\mathrm{b}}\right)$ is increasing with time
- $\left(V_{\mathrm{a}}-\mathrm{V}_{\mathrm{b}}\right)$ is decreasing with time
- $\left(\mathrm{V}_{\mathrm{a}}-\mathrm{V}_{\mathrm{b}}\right)=10 \mathrm{~V}$
- $\left(\mathrm{V}_{\mathrm{a}}-\mathrm{V}_{\mathrm{b}}\right)=$ zero
Solution
$\mathrm{Q}_{\mathrm{c}}=5\left(1-\mathrm{e}^{-\frac{\mathrm{t}}{2}}\right)$
$I_L=5\left(1-e^{-\frac{t}{2}}\right)$
$\mathrm{V}_{\mathrm{a}}-\mathrm{V}_{\mathrm{b}}=2 \mathrm{I}_{\mathrm{L}}-\frac{\mathrm{Q}_{\mathrm{c}}}{0.5}$
$=10\left(1-e^{-\frac{t}{2}}\right)-\frac{5}{0.5}\left(1-e^{-\frac{t}{2}}\right)$
$=0$

Asked in: AP EAMCET 2023 (16 May Shift 1)
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