Chapter 25: Q. 30 (page 710)

What is the electric potential at the point indicated with the dot
in FIGURE EX25.30?

Short Answer

Expert verified

The value of electric potential energy at the point indicated with the dot is 1770VV

Step by step solution

Definition of electric potential energy

The value of potential charge of the q point is V

$V = \frac{1}{4 π ε_{0}} \frac{q}{r}$

Here q is the charge value , r is the distance $ϵ_{0}$ Permittivity of the free space.

Then the total value of potential $\sum_{i} V_{i} = \frac{1}{4 π ε_{0}} \frac{q_{i}}{r_{i}}$

The magnitude of all charges in Point 1 and 3 is 2.0 nC.

$\begin{array}{rcl} q_{1} & = & q_{3} = (2.0 n C) (\frac{10^{- 19} n C}{1 n C}) \\ = & 2.0 \times 10^{- 19} C \end{array}$

Magnitude of all charges is in Point 2 is 4.0 nC

$\begin{array}{rcl} N o w q_{2} & = & (4.0 n C) (\frac{10^{- 19} n C}{1 n C}) \\ = & 4.0 \times 10^{- 19} C \end{array}$

Point indication with the dot points

The value of distance from the unit positive charge of the 2

$\begin{array}{rcl} r_{2} & = & \sqrt{(4^{2})} + (3^{2}) \\ = & 5 c m \\ V & = & (\frac{1}{4 π ε_{0}} \frac{q_{1}}{r_{1}}) + (\frac{1}{4 π ε_{0}} \frac{q_{2}}{r_{2}}) + (\frac{1}{4 π ε_{0}} \frac{q_{3}}{r_{3}}) \\ \frac{1}{4 π ε_{0}} & = & 9 \times 10^{9} N . m^{2} \end{array}$

Now substitutingall the value to this equation;

$\begin{array}{rcl} V & = & 9 \times 10^{9} N . m^{2} \times (\frac{2 \times 10^{- 19} C}{3 (\frac{10^{- 2} m}{1 c m})} + \frac{4 \times 10^{- 19} C}{5 (\frac{10^{- 2} m}{1 c m})} + \frac{2 \times 10^{- 19} C}{4 (\frac{10^{- 2} m}{1 c m})}) \\ = & 1770 V \end{array}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

What is the electric potential at the point indicated with the dot
in FIGURE EX25.30?

Short Answer

Step by step solution

Definition of electric potential energy

Point indication with the dot points

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Dynamics

Force

Atoms and Radioactivity

Measurements

Physical Quantities And Units

Rotational Dynamics

Study anywhere. Anytime. Across all devices.

What is the electric potential at the point indicated with the dotin FIGURE EX25.30?

Short Answer

Step by step solution

Definition of electric potential energy

Point indication with the dot points

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Dynamics

Force

Atoms and Radioactivity

Measurements

Physical Quantities And Units

Rotational Dynamics

Study anywhere. Anytime. Across all devices.

What is the electric potential at the point indicated with the dot
in FIGURE EX25.30?