Two small plastic spheres are given positive electrical charges When they are a

Question

Two small plastic spheres are given positive electrical charges When they are a distance of 15.5 cm apart, the repulsive force between them has a magnitude of 0.240 N. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Force between two point charges. Part A What is the charge on each sphere if the two charges are equal? Part B What is the charge on first sphere if it has four times the charge of the second sphere? PartC What is the charge on the second sphere described in the previous part?

Explanation / Answer

a )

the charge q1 = q

F = 0.24 N

the other charge is q2 = q

r = 15.5 cm = 0.155 m

F = K q1 q2 / r2

F = K q2 / r2

q2 = F r2 / K

q2 = 0.24 X 0.1552 / 9 X 109

q2 = 6.4 X 10-13

q = 0.8 X 10-6 C

b )

the charge q1 = q

F = 0.24 N

the other charge is q2 = 4 q

r = 15.5 cm = 0.155 m

F = K q1 q2 / r2

F = K 4 q2 / r2

q2 = F r2 / 4 K

q2 = 0.24 X 0.1552 / 4 X 9 X 109

q2 = 1.6 X 10-13

q = 0.4 X 10-6 C

c )

the charge on the second charge is q = 0.4 X 10-6 C

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