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Question no. 28292

Metallic spheres A and B, having radii of 2m and 4m respectively, both possess an identical charge of 4 x 10 8C. Should these spheres be linked together via a copper wire_______________?

Select your answer for: Metallic spheres A and B, having radii of 2m and 4m respectively, both possess an identical charge of 4 x 10 8C. Should these spheres be linked together via a copper wire_______________?
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Answer: A. charge will flow from A to B

Explanation

Charge flows from the sphere with higher electrical potential to the one with lower potential until equilibrium is reached. Surface potential on a charged conducting sphere equals the charge divided by its radius, creating a potential difference between different sizes. Connecting the spheres via a copper wire provides a conductive path that equalizes surface potentials by redistributing total charge. Spherical conductor surface potential is inversely proportional to its radius for a given identical total electrostatic charge. The smaller 2-meter radius sphere possesses a higher surface potential than the larger 4-meter radius sphere holding the same charge. Charge redistribution between connected conductors always proceeds from high electric potential toward lower electric potential regions.

Stating charge will flow from A to B matches the correct potential gradient calculation between the smaller and larger spheres. Saying charge flows from B to A incorrectly assumes the larger sphere has a higher electrical potential than the smaller sphere. Claiming no flow of charge will occur ignores the unequal surface potentials caused by the different radii of the two spheres.

Subject
Engineering
Topic
—
Difficulty
medium

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