Q. 30 What is the electric potential a... [FREE SOLUTION]

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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

$V = \frac{1}{4 蟺蔚_{0}} \frac{q}{r}$

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

Then the total value of potential $\underset{i}{鈭�} V_{i} = \frac{1}{4 蟺蔚_{0}} \frac{q_{i}}{r_{i}}$

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

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

Magnitude of all charges is in Point 2 is 4.0 nC

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

Point indication with the dot points

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

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

Now substitutingall the value to this equation;

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

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91影视

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.

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91影视

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

Quantum Physics

Fields in Physics

Electric Charge Field and Potential

Particle Model of Matter

Space Physics

Electricity and Magnetism

Study anywhere. Anytime. Across all devices.

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