Answer: 2.16 × 10⁻¹⁷
Explanation:
The formula for Coulomb's law is given by the formula:
[tex]F = k\dfrac{qQ}{r^{2} }[/tex], where:
- F is the magnitude of the force between the charges
- k is Coulomb's constant (8.99 × 10⁹)
- q and Q are the magnitude of the charges
- r is the distance between the charges
Since the charges are equal:
[tex]F = k\dfrac{q^{2} }{r^{2} }[/tex]
We are given:
- F = 9.92 × 10⁻⁴ N
- r = 6.5 × 10⁻¹¹ m
Let's plug our given values into the formula:
9.92 × 10⁻⁴ = (8.99 × 10⁹)q²/(6.5 × 10⁻¹¹)²
Solve for q:
4.1912 × 10⁻²⁴ = (8.99 × 10⁹)q²
q² = 4.662 × 10⁻³⁴
q = 2.16 × 10⁻¹⁷
The value of q is 2.16 × 10⁻¹⁷ C.
