Chapter 24: Q75P (page 715)

An electric field of approximately $100 V/m$ is often observed near the surface of Earth. If this were the field over the entire surface, what would be the electric potential of a point on the surface? (Set $V=0$ at infinity.)

Short Answer

Expert verified

$V = 6.4 \times 10^{8} V$

Step by step solution

Given

Intensity of the electric field $E = 100 V/m$
Radius of the earth's spherical surface, $R_{c} = 6400 km$

Understanding the concept

Use the relation between E and V.

Electric potential at the surface of the Earth, $V = \frac{1}{4 {πε}_{o}} \frac{q}{R_{c}}$
Electric intensity at the surface of earth, $E = \frac{1}{4 {πε}_{o}} (\frac{q}{R_{e}^{2}}) = \frac{V}{R_{e}}$

Calculate the electric potential

Electric potential,

$\begin{matrix} V = {ER}_{e} \\ V = (100 V/m) (6400 \times 10^{3} m) \\ V = 6.4 \times 10^{8} V \end{matrix}$

Hence, the electric potential of a point on the surface is $V = 6.4 \times 10^{8} V$

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An electric field of approximately $100 V/m$ is often observed near the surface of Earth. If this were the field over the entire surface, what would be the electric potential of a point on the surface? (Set $V=0$ at infinity.)

Short Answer

Step by step solution

Given

Understanding the concept

Calculate the electric potential

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An electric field of approximately 100 V/mis often observed near the surface of Earth. If this were the field over the entire surface, what would be the electric potential of a point on the surface? (SetV=0 at infinity.)

Short Answer

Step by step solution

Given

Understanding the concept

Calculate the electric potential

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Atoms and Radioactivity

Magnetism and Electromagnetic Induction

Further Mechanics and Thermal Physics

Space Physics

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Study anywhere. Anytime. Across all devices.

An electric field of approximately $100 V/m$ is often observed near the surface of Earth. If this were the field over the entire surface, what would be the electric potential of a point on the surface? (Set $V=0$ at infinity.)