A small neutral conducting sphere of radius is located from a point charge of

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

A small neutral conducting sphere of radius

1.0\,\text{cm}

is located

5.0\,\text{cm}

from a point charge of

+8.0\,\mu\text{C}

. The attractive force between them varies approximately as

1/r^{2}

with their center-to-center separation

r

. If the separation is reduced to

2.5\,\text{cm}

, by what factor does the magnitude of the force change? (a)

2

(b)

8

(c)

1

(no change) (d)

4