Understanding the Concepts
* Electric Field: An 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.
* Electric Field Strength: The electric field strength (E) at a point is the force per unit charge experienced by a test charge placed at that point.
Formula
The electric field (E) due to a point charge (Q) at a distance (r) is given by:
E = k * Q / r²
where:
* E is the electric field strength (in N/C)
* k is Coulomb's constant (8.98755 × 10⁹ N⋅m²/C²)
* Q is the magnitude of the point charge (in Coulombs)
* r is the distance from the point charge (in meters)
Calculations
1. Convert the distance to meters: 30.0 cm = 0.30 m
2. Plug the values into the formula:
E = (8.98755 × 10⁹ N⋅m²/C²) * (0.35 C) / (0.30 m)²
3. Calculate the electric field strength:
E ≈ 3.49 × 10¹⁰ N/C
Answer:
The magnitude of the electric field 30.0 cm from a point charge of 0.35 coulombs is approximately 3.49 × 10¹⁰ N/C.
