How does the magnitude of electrical force between a pair of charged particles change when the particles are moved half as far apart? One-third as far apart?
Solution 23E Step 1 of 3: Electric force From coulomb's law, the force between two charged particle is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. That is for two charge at r distance apart, K q q Electric force, F = r2 2 Where K is constant, q and q are two charges at r distance apart. 1 2 Which means The magnitude of the electric force is related to distance as, F r2 Step 2 of 3: To calculate force, when particles are moved half as far apart, By above dependency, 1 1 F 1 2 (2r) F 4 r2 F 4F Therefore, when the distance between the pair of charged particles is reduced to half, the electrical force between them increase four times.
Textbook: Conceptual Physics
Author: Paul G. Hewitt
Since the solution to 23E from 22 chapter was answered, more than 314 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 23E from chapter: 22 was answered by , our top Physics solution expert on 04/03/17, 08:01AM. Conceptual Physics was written by and is associated to the ISBN: 9780321909107. The answer to “How does the magnitude of electrical force between a pair of charged particles change when the particles are moved half as far apart? One-third as far apart?” is broken down into a number of easy to follow steps, and 27 words. This textbook survival guide was created for the textbook: Conceptual Physics, edition: 12. This full solution covers the following key subjects: Apart, far, particles, Electrical, charged. This expansive textbook survival guide covers 45 chapters, and 4650 solutions.