What is the electric field at a distance of 1 m from a charge of +10 µC? (2019)
Practice Questions
Q1
What is the electric field at a distance of 1 m from a charge of +10 µC? (2019)
9000 N/C
10000 N/C
11000 N/C
12000 N/C
Questions & Step-by-Step Solutions
What is the electric field at a distance of 1 m from a charge of +10 µC? (2019)
Step 1: Identify the formula for electric field (E) due to a point charge: E = k * |q| / r².
Step 2: Determine the values needed for the formula: k = 9 × 10^9 N m²/C² (Coulomb's constant), q = +10 µC (microcoulombs), and r = 1 m (distance from the charge).
Step 3: Convert the charge from microcoulombs to coulombs: +10 µC = 10 × 10^-6 C.
Step 4: Substitute the values into the formula: E = (9 × 10^9 N m²/C²) * (10 × 10^-6 C) / (1 m)².
Step 5: Calculate the numerator: (9 × 10^9) * (10 × 10^-6) = 90,000 N m²/C.
Step 6: Calculate the denominator: (1 m)² = 1 m².
Step 7: Divide the numerator by the denominator: E = 90,000 N m²/C / 1 m² = 90,000 N/C.
