Q. 32 The electric potential at the do... [FREE SOLUTION]

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Chapter 25: Q. 32 (page 710)

The electric potential at the dot in FIGURE EX25.32 is $3140 V$ What is charge q?

Short Answer

Expert verified

The value of the potential energy of the dot points is $10 n C$

Step by step solution

Explanation of the the potential energy of (a) point

The equation of the potential energy of a dot point is

$V = \frac{1}{4 蟺蔚_{0}} \frac{q}{r}$

Where q is the charge point, r is the distance and $蔚_{0}$

is the permittivity free space.

The value of the distance d from the q point of the figure to A point is

$\begin{array}{rcl} d & = & \sqrt{{(2.0 c m)}^{2} + {(4.0 c m)}^{2}} \\ = & 4.47 c m \end{array}$

$\begin{array}{rcl} r_{1} & = & 2.0 c m \\ = & 0.02 m \\ r_{2} & = & 4.0 c m \\ = & 0.04 m \\ d & = & 4.47 c m \\ = & 0.0447 m \end{array}$

The potential energy at the point A for the responsible charge $q_{1}$

$\begin{array}{rcl} V_{1} & = & \frac{1}{(4 蟺蔚_{0})} \frac{q_{1}}{r_{1}} \\ \frac{1}{(4 蟺蔚_{0})} & = & 9.0 脳 10^{9} N m^{2} / C^{2} \\ q_{1} & = & 5.0 脳 10^{- 9} C \\ r_{1} & = & 0.02 m \\ V_{1} & = & 9.0 脳 10^{9} N m^{2} / C^{2} 脳 \frac{5.0 脳 10^{- 9} C}{0.02 m} \\ = & 2250 V \end{array}$

The theory of the total energy

The potential energy at the point A for the responsible charge $q_{2}$

$\begin{array}{rcl} V_{2} & = & \frac{1}{(4 蟺蔚_{0})} \frac{q_{2}}{r_{2}} \\ \frac{1}{(4 蟺蔚_{0})} & = & 9.0 脳 10^{9} N m^{2} / C^{2} \\ q_{2} & = & - 5.0 脳 10^{- 9} C \\ r_{2} & = & 0.04 m \\ V_{2} & = & 9.0 脳 10^{9} N m^{2} / C^{2} \frac{(- 5.0 脳 10^{- 9} C)}{0.04 m} \\ = & 1125 V \end{array}$

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91影视

The electric potential at the dot in FIGURE EX25.32 is $3140 V$ What is charge q?

Short Answer

Step by step solution

Explanation of the the potential energy of (a) point

The theory of the total energy

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91影视

The electric potential at the dot in FIGURE EX25.32 is 3140VWhat is charge q?

Short Answer

Step by step solution

Explanation of the the potential energy of (a) point

The theory of the total energy

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fields in Physics

Engineering Physics

Kinematics Physics

Classical Mechanics

Energy Physics

Thermodynamics

Study anywhere. Anytime. Across all devices.

The electric potential at the dot in FIGURE EX25.32 is $3140 V$ What is charge q?