A sphere of radius R has charge Q. The electric field

Chapter 23, Problem 23.31

(choose chapter or problem)

A sphere of radius R has charge Q. The electric field strength at distance r 7 R is Ei . What is the ratio Ef /Ei of the final to initial electric field strengths if (a) Q is halved, (b) R is halved, and (c) r is halved (but is still 7 R)? Each part changes only one quantity; the other quantities have their initial values.

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