Physics High School

When the distance between two charges is halved, the electrical force between them?

Answers

Answer 1
If the distance between two charges is halved, the electrical force between them increases by a factor 4.

In fact, the magnitude of the electric force between two charges is given by:
[tex]F= k \frac{q_1 q_2}{r^2} [/tex]
where
k is the Coulomb's constant
q1 and q2 are the two charges
r is the separation between the two charges

We see that the magnitude of the force F is inversely proportional to the square of the distance r. Therefore, if the radius is halved:
[tex]r'= \frac{r}{2} [/tex]
the magnitude of the force changes as follows:
[tex]F'=k \frac{q_1 q_2}{r'^2}=k \frac{q_1 q_2}{( \frac{r}{2})^2 }=k \frac{q_1 q_2}{ \frac{r^2}{4} } =4k \frac{q_1 q_2}{r^2}=4 F [/tex]
so, the force increases by a factor 4.
Answer 2
Final answer:

When the distance between two charges is halved, the electrical force between them quadruples.

Explanation:

When the distance between two charges is halved, the electrical force between them quadruples. This is because the electrical force between charges is inversely proportional to the square of the distance between them. So, if the distance is halved, the force becomes four times stronger.

Learn more about electrical force here:

https://brainly.com/question/31696602

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Related Questions

Barometric pressure has been dropping all day. what weather conditions will most likely occur? calm weather stormy weather hot weather sunny weather

Answers

The correct answer is "stormy weather".

In fact, barometric low pressure is generally associated with rain, precipitations, or more in general with bad weather. On the contrary, high atmospheric pressure is usually associated with sunny weather.

Low barometric pressure all day indicates stormy weather condition.

Answer: B. Stormy weather

Explanation:

Barometric pressure is the pressure showed in a barometer which will be proportional to the atmospheric pressure.

When the pressure is low in the barometer that means there is origin of low pressure trough in long range of area.

The low pressure trough will increase warm air in the sea level leading to formation of storms in the sea which will lead to heavy rains or stormy weather like condition in the land area.

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