You visited us 2 times! Enjoying our articles? Unlock Full Access!

Electric Potential and Potential Difference

In the networ...

Question

In the network shown below, points A, B and C are at the potential of 70 V, 0 V and 10 V respectively. The potential of point D is

10 V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

20 V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

30 V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

40 V

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
40 V

Applying KCL at junction D, $\frac{V_{A} - V_{D}}{10} = \frac{V_{D} - V_{B}}{20} + \frac{V_{D} - V_{C}}{30} \Rightarrow \frac{70 - V_{D}}{10} = \frac{V_{D} - 0}{20} + \frac{V_{D} - 10}{30} \Rightarrow 70 - V_{D} = \frac{V_{D}}{2} + \frac{V_{D}}{3} - \frac{10}{3} \Rightarrow \frac{11 V_{D}}{6} = \frac{220}{3} ∴ V_{D} = 40 V$

Suggest Corrections

Similar questions

In the network shown below, points A, B and C are at the potential of 70 V, 0 V and 10 V respectively. The potential of point D is

A, B

C

70 V

10 V

A

B

C

10

5

- 10

V_{1}, V_{2}

V_{3}

R_{1}

R_{2}

V_{1}, V_{2}, V_{3}, \dots V_{n}

\frac{R_{2}}{R_{3}}

Join BYJU'S Learning Program