Calculate the coulomb force on q. They are all in a straight line q1, q2,q3.
Q1:1.05 micro coulombs
Q2:5.51 micro coulombs
Q3:-2.15 micro coulombs
The distance, r1, between q1 and q2 is 20.1cm.
The distance, r2, between q2 and q3 is 15.3 cm.
Also, calculate e coulomb force on q2
To calculate the Coulomb force on q, we can use the formula for Coulomb's Law:
F = k * (|q1| * |q2|) / r²
Where:
- F is the Coulomb force
- k is Coulomb's constant, which is approximately 9 × 10^9 Nm²/C²
- |q1| and |q2| are the magnitudes of the charges
- r is the distance between the charges
For the first scenario with charges q1, q2, and q3 in a straight line:
1. Calculate the Coulomb force on q:
F1 = k * (|q1| * |q|) / r1²
Substituting the given values:
F1 = (9 × 10^9 Nm²/C²) * (1.05 × 10^-6 C * |q|) / (0.201 m)²
2. Calculate the distance r between q2 and q3:
Since they are in a straight line, the distance r is simply r2 minus the length of q2:
r = r2 - length of q2
r = 0.153 m - 0 m (as q2 has zero length)
r = 0.153 m
3. Calculate the Coulomb force on q2:
F2 = k * (|q2| * |q2|) / r²
Substituting the given values:
F2 = (9 × 10^9 Nm²/C²) * (5.51 × 10^-6 C * 5.51 × 10^-6 C) / (0.153 m)²
Simplifying these equations will give us the numerical values of the Coulomb forces F1 and F2 on q and q2, respectively.