small solid glass ball of radius r is irradiated by a beam of positive ions and gains a charge + q distributed uniformly throughout its volume. What is the potential (relative to infinity) at location A, inside the ball, a distance r / 6 from the center of the ball? (Use any variable or symbol stated above along with the following as necessary: ε 0.) Give the numerical coefficient in the form of a simple fraction

Question

Mathematics

Ladybug

3 July, 03:20

small solid glass ball of radius r is irradiated by a beam of positive ions and gains a charge + q distributed uniformly throughout its volume. What is the potential (relative to infinity) at location A, inside the ball, a distance r / 6 from the center of the ball? (Use any variable or symbol stated above along with the following as necessary: ε 0.) Give the numerical coefficient in the form of a simple fraction

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Aiyana Arias · Answer 1

V=6q/20πεor = 3q/10πεor

Step-by-step explanation:

distance between the charges is r-r/6 since the charges are located at the surface and r/6. V=w/q and W = Force X distance = kQq/r

and V = Kq/r also k = 1/4πεo. Hence the potential at location A inside the ball to the charge + q at the surface is 3q/10πεor