Electric Force Between Spheres Doubled Separation

Chapter 16, Problem 1

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QUESTION:

Two identical tiny spheres have the same electric charge. If their separation is doubled, the force each exerts on the other will be

(a) half.

(b) double.

(c) four times larger.

(d) one-quarter as large.

(e) unchanged.

Questions & Answers

QUESTION:

Two identical tiny spheres have the same electric charge. If their separation is doubled, the force each exerts on the other will be

(a) half.

(b) double.

(c) four times larger.

(d) one-quarter as large.

(e) unchanged.

ANSWER:

Step 1 of 3

According to Coulomb’s law, the electrostatic type of force acting between two charges particle is directly proportional to the product of their masses and inversely proportional to the square of their distances.

\(F=K \frac{Q_{1} Q_{2}}{r^{2}}\)………..(1)

Here \(Q_{1}\) and \(Q_{2}\) are the charges of the two particles and r is the distance between two charges particles, k is the Coulomb’s constant whose value is equal to the \(9 \times 10^{9} \mathrm{Nm}^{2} / \mathrm{C}^{2}\).

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Electric Force Between Spheres Doubled Separation
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In this enlightening video, we unravel the mysteries of electric charges and forces. Discover the fascinating concept of how the separation between two identical tiny spheres, each carrying the same electric charge, influences the force they exert on each other. Will the force double, become one-quarter as large, or remain unchanged? Join us to explore the intriguing world of electrostatics and the principles that govern electric interactions.


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