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  • Shown in the figure is net work of capacitors & resistors.The potentials of some of the nodes are given.the potential of point P is <img alt="" src="https://cdn.entrance360.com/media/

Shown in the figure is net work of capacitors & resistors.The potentials of some of the nodes are given.the potential of point P is

Option: 1

0 V


Option: 2

3V
 


Option: 3

4 V


Option: 4

5V


Answers (1)

best_answer

At steady state, capacitor offers infinite resistance to DC therefore current passes through 1 \Omega resistor across P Q. Since three identical resistors of resistance  \frac{1}{3} \Omega are connected in series. This series combination is connected in parallel with another resistor of 1 \Omega across PQ. \therefore The effective resistance between P \, \& \, Q will be \frac{1}{2} \Omega.

Applying KCL we obtain

\begin{aligned} & \mathrm{i}_1+\mathrm{i}_2+\mathrm{i}_3=0 \\ & \Rightarrow \frac{\mathrm{v}-10}{1}+\frac{\mathrm{v}-3}{0.3}+\frac{\mathrm{v}-(-20)}{1}=0 \\ & \Rightarrow \mathrm{v}\left[1+\frac{1}{0.3}+1\right] \\ & =10+10-20 \\ & \Rightarrow \mathrm{v}=0 \end{aligned}

 

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Gaurav

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