Three point charges, +6.7e-6, +2.5e-6, and -3e-6, lie along the x-axis at 0 cm, 2.4 cm, and 5.7, repectively.
What is the force exerted on q1 by the other two charges? (to the right is positive) . The coulomb constant is 8.99*10^9 N*m^2/C^2
What is the force exerted on q2 by the other two charges?
What is the force exerted on q3 by the other two charges?
Answer in units of N
x1=0.024 m, x2 =0.057 m
F12= k•q1•q2/x1² (to the left),
F13 = k•q1•q3/x2² (to the right),
F1 = F12 – F13 ( if F1>0 to the left, if F1<0 to the right)
F21= k•q1•q2/x1² (to the right),
F23 = k•q2•q3/(x2-x1)² (to the right),
F2 = F21 + F23 (to the right)
F31= k•q1•q3/x2² (to the left),
F32 = k•q2•q3/(x2-x1)² (to the left),
F2 = F31 + F32 (to the left)
To find the force exerted on each point charge by the other two charges, we can use the formula for the electric force between two point charges:
F = k * |q1| * |q2| / r^2
Where:
F is the force between the two charges
k is the Coulomb constant (8.99 * 10^9 N*m^2/C^2)
|q1| and |q2| are the magnitudes of the respective charges
r is the distance between the charges
Let's calculate the forces for each question one by one:
1. Force exerted on q1 by the other two charges:
- q1 = +6.7e-6 C, q2 = +2.5e-6 C, and r = 2.4 cm = 0.024 m
Plugging in the values into the formula:
F1 = (8.99 * 10^9 N*m^2/C^2) * (6.7e-6 C) * (2.5e-6 C) / (0.024 m)^2
Calculating this expression will give us the force exerted on q1.
2. Force exerted on q2 by the other two charges:
- q1 = +6.7e-6 C, q2 = +2.5e-6 C, and r = 5.7 cm = 0.057 m
Plugging in the values into the formula:
F2 = (8.99 * 10^9 N*m^2/C^2) * (6.7e-6 C) * (3e-6 C) / (0.057 m)^2
Calculating this expression will give us the force exerted on q2.
3. Force exerted on q3 by the other two charges:
- q1 = +6.7e-6 C, q2 = -3e-6 C, and r = 5.7 cm = 0.057 m
Plugging in the values into the formula:
F3 = (8.99 * 10^9 N*m^2/C^2) * (2.5e-6 C) * (3e-6 C) / (0.057 m)^2
Calculating this expression will give us the force exerted on q3.
By performing the necessary calculations using the given values, you will be able to find the forces exerted on q1, q2, and q3 by the other two charges.