Question

In the given R – C circuit switch S is closed at t = 0 and the variation of potential drop across the resistor $\left(V_R\right)$ and across capacitor $\left(V_C\right)$ is represented by given plot, then :

• A. $2V_0=2V_1+V_2$
  
• B. $2V_0=V_1+V_2$
  
• C. curve I is for $V_C$ and II is for $V_R$
  
• D. curve I is for $V_R$ and II is for $V_C$

Answer 1

Answer: (A), (C)

The correct options are
A

$2V_0=2V_1+V_2$

C

curve I is for $V_C$ and II is for $V_R$

Charge on capacitor increases with time; $\therefore$ potential $V_C=\frac{q}{C}$ increases too
$\therefore$Curve I is for $V_c$ and curve II is for $V_R$ as current will decrease with time.
Also $V_R+V_C=ϵ$ or $V_R+V_C=V_0+V_0=2V_0$ (when both were equal)
$V_1+(V_1+V_2)=2V_0$ or $2V_1+V_2=2V_0$