A 1.0-C point charge is 15 m from a second point charge,and the electric force on one of them due to the other is 1.0 N.What is the magnitude of the second charge?
A) 25 C
B) 1.0 C
C) 10 nC
D) 0.025 C
E) 25 nC

Question

A 1.0-C point charge is 15 m from a second point charge,and the electric force on one of them due to the other is 1.0 N.What is the magnitude of the second charge? 
A) 25 C 
B) 1.0 C 
C) 10 nC 
D) 0.025 C 
E) 25 nC

Quizplus · Accepted Answer

Using Coulomb's Law, we have:

F = k(Q1*Q2)/r^2

where k is the Coulomb constant, Q1 is the charge of one point charge, Q2 is the charge of the other point charge, and r is the distance between them.

Plugging in the given values, we get:

1.0 N = (9.0 x 10^9 Nm^2/C^2) * (1.0 C) * Q2 / (15 m)^2

Solving for Q2, we get:

Q2 = (1.0 N * (15 m)^2) / (9.0 x 10^9 Nm^2/C^2) = 25 nC

Therefore, the answer is E) 25 nC.

A 10-C Point Charge Is 15 M from a Second Point