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What is the relationship between the electric field strength at a point and its distance from the source charge?

A. As the distance increases, the electric field strength increases.
B. As the distance increases, the electric field strength decreases.
oth decreases.
C. As the distance decreases, the electric field strength decreases.
D. The distance and the electric field strength are not related.

1 Answer

7 votes

Answer:

B. As the distance increases, the electric field strength decreases.

Step-by-step explanation:

The strength of the electric field around a single-point charge is given by the equation:


E=(kq)/(r^2)

where

k is the Coulomb's constant

q is the charge

r is the distance of the charge

The field has radial direction, pointing away from the charge (if the charge is positive) or toward the charge (if the charge is negative).

As we can see from the equation, the strength of the field is inversely proportional to the square of the distance from the charge:


E\propto (1)/(r^2)

Therefore, this means that as the distance increases, the electric field strength decreases. So the correct option is

B. As the distance increases, the electric field strength decreases.

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