Regarding the given circuit, the correct statement is:

Regarding the given circuit, the correct statement is:
  1. $\left(\mathrm{V}_{\mathrm{a}}-\mathrm{V}_{\mathrm{b}}\right)$ is increasing with time
  2. $\left(V_{\mathrm{a}}-\mathrm{V}_{\mathrm{b}}\right)$ is decreasing with time
  3. $\left(\mathrm{V}_{\mathrm{a}}-\mathrm{V}_{\mathrm{b}}\right)=10 \mathrm{~V}$
  4. $\left(\mathrm{V}_{\mathrm{a}}-\mathrm{V}_{\mathrm{b}}\right)=$ 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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