Physics electric charges! Can you help?
Two tiny conducting spheres are identical and carry charges of -17.2C and +53.8C. They are separated by a distance of 2.34 cm. (a) What is the magnitude of the force that each sphere experiences? (b) The spheres are brought into contact and then separated to a distance of 2.34 cm. Determine the magnitude of the force that each sphere now experiences.
- billrussell42Lv 74 weeks ago
F = (9e9)(17.2)(53.8) / (0.0234)² = 1.52e16 N (same for both)
(strange problem as that force is huge, enough to lift about 50 mountains)
in contact, 17.2 of negative charge cancels 17.2 of + charge, leaving total charge of 36.6 C
IF the two spheres are identical, then they separate, they each get half or 18.3 C
F = (9e9)(18.3)(18.3) / (0.0234)² = 5.50e15 N (same for both)
Coulomb's law, force of attraction/repulsion
F = kQ₁Q₂/r²
Q₁ and Q₂ are the charges in coulombs
F is force in newtons
r is separation in meters
k = 8.99e9 Nm²/C²