High School

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Three charges are placed along a string that is 1.70 meters long. If energy is supplied at a rate of [tex]0.79 \, \text{W}[/tex], how long would it take to move one of the charges to the midpoint of the string, while keeping the other two charges fixed?

Answer :

Final answer:

To find the number of charges needed to reach the midpoint, use the principle of conservation of energy. The answer is approximately 0.122 C.

Explanation:

To find the number of charges needed to reach the midpoint, we can use the principle of conservation of energy.

If the total energy supplied is 0.79 J and the charges are initially 1.7 m apart, we can set up the equation:

Initial potential energy = Final potential energy

4πεâ‚€(0.120 C)²/1.7 m = 4πεâ‚€(Q)²/(1.7/2) m

Simplifying the equation gives us:

Q = √(0.120 C² / 2)

Evaluating the expression gives us the final answer: Q ≈ 0.122 C.

Electric charge (symbol q, sometimes Q) is the physical property of matter that causes it to experience a force when placed in an electromagnetic field. Electric charge can be positive or negative (commonly carried by protons and electrons respectively, by convention).

Learn more about Electric Charges here:

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