Understanding the Concepts
* Electric Field: An electric field is a region around a charged object where another charged object would experience a force.
* Coulomb's Law: This law describes the force between two point charges. It states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
* Electric Field Strength: The electric field strength (E) at a point is defined as the force per unit charge experienced by a test charge placed at that point.
Formula
The formula for the electric field strength due to a point charge is:
E = k * Q / r²
Where:
* E is the electric field strength (N/C)
* k is Coulomb's constant (approximately 8.98755 × 10⁹ N⋅m²/C²)
* Q is the magnitude of the charge (C)
* r is the distance from the charge (m)
Calculation
1. Plug in the values:
* Q = 0.0035 C
* r = 0.0075 m
* k = 8.98755 × 10⁹ N⋅m²/C²
2. Calculate:
E = (8.98755 × 10⁹ N⋅m²/C²) * (0.0035 C) / (0.0075 m)²
E ≈ 5.59 × 10¹¹ N/C
Answer
The magnitude of the electric field at a point 0.0075 m from a 0.0035 C charge is approximately 5.59 × 10¹¹ N/C.
