Question Detail
Question
Compute the magnitude of the electric field E in air at a distance of 30 cm from a point charge q1 = 5.0 × 10-9 C. (Given: k0 = 9.0 × 109 N·m²/C²)
Correct Answer
Option C is the correct answer.
Detailed Explanation
This is part (a) of Solved Problem 24.10 on page 6. The magnitude of the electric field due to a point charge in air (vacuum) is given by E = k0q / r². Here, q = 5.0 × 10-9 C and r = 30 cm = 0.30 m. E = (9.0 × 109 N·m²/C²) * (5.0 × 10-9 C) / (0.30 m)² = (45) / (0.09) = 500 N/C.
Hint
Remember the formula for electric field due to a point charge and convert the distance from centimeters to meters before calculation.