Understanding the Concepts
* Electric Field: The electric field is a region around a charged object where other charged objects experience a force.
* Coulomb's Law: This law describes the force between two point charges. The magnitude of the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Formula
The magnitude of the electric field (E) due to a point charge (Q) at a distance (r) is given by:
E = k * |Q| / r²
where:
* k is Coulomb's constant (approximately 8.98755 × 10⁹ N⋅m²/C²)
* |Q| is the absolute value of the charge
* r is the distance from the charge
Calculation
1. Identify the values:
* Q = 0.0040 C
* r = 0.0050 m
2. Substitute the values into the formula:
E = (8.98755 × 10⁹ N⋅m²/C²) * |0.0040 C| / (0.0050 m)²
3. Calculate:
E ≈ 1.438 × 10¹² N/C
Answer
The magnitude of the electric field at a point 0.0050 m from a 0.0040 C charge is approximately 1.438 × 10¹² N/C.
