Part AThere is an electric field near the Earth's surface whose magnitude is about 130 V/m. How much energy is stored per cubic meter in this field?Express your answer using two significant figures.

Answered: Part A There is an electric field near…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 61P: A uniform electric field E = 3 000 V/m exists within a certain region. What volume of space contains...

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Part A
There is an electric field near the Earth's surface whose magnitude is about 130 V/m. How much energy is stored per cubic meter in this field?
Express your answer using two significant figures.

Expert Solution

Here, we have to calculate the energy stored per cubic meter for the given Electric field

The given electric field near the Earth's surface, E=130 V/m

The expression for energy stored corresponding to this electric field, u= $ε_{0} E^{2}$

where $ε_{0}$ is the permittivity of the free space and its value is 8.854 $\times 10^{- 12}$ ^{$\frac{C^{2}}{N m^{2}}$ .}

Thus, the value of energy stored= 8.854 $\times 10^{- 12}$ $\times 130^{2}$ $\frac{C^{2}}{N m^{2}} \frac{V^{2}}{m^{2}}$

=1.496 $\times 10^{- 7}$ $\frac{1}{N m^{4}} \frac{J^{2}}{V^{2}} V^{2}$

=1.496 $\times 10^{- 7}$ $\frac{J}{N m^{4}} \frac{N m}{}$

=1.496 $\times 10^{- 7}$ $\frac{J}{m^{3}}$

Hence, the energy stored per cubic meter in this field is $1.496 \times 10^{7} J o u l e$

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Part A There is an electric field near the Earth's surface whose magnitude is about 130 V/m. How much energy is stored per cubic meter in this field? Express your answer using two significant figures.