#2.) Suppose that the charges attracting each other in the preceding problem hav

Question

#2.) Suppose that the charges attracting each other in the preceding
problem have equal magnitude. Rearrange
Coulomb’s law and show that the magnitude of each
charge is 2.8 × 10-6 C (2.8 microcoulombs).

F = (k) q1q2/d2

(PRIOR Question: Two point charges are separated by 6 cm. The attractive
force between them is 20 N. Find the force between them
when they are separated by 12 cm.)

Coulomb’s law: The relationship between electrical force,
charge, and distance:
If the charges are alike in sign, the force is repulsive; if the
charges are unlike, the force is attractive.

Explanation / Answer

Separation r = 6 cm The attractive force between them F= 20 N The force between them when they are separated by 12 cm is F ' = ? New separtion  r ' = ? We know F ' / F = ( r/ r') 2                            = ( 6 cm / 12 cm ) 2                            = 1/ 4                       F ' = F / 4                            = 5 N The attarctive force between them when they are separated by 12 cm is F ' = 5 N

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