What is the electric field due to a point charge of +3 µC at a distance of 0.3 m

Practice Questions

Q1
What is the electric field due to a point charge of +3 µC at a distance of 0.3 m?
  1. 30 N/C
  2. 90 N/C
  3. 300 N/C
  4. 900 N/C

Questions & Step-by-Step Solutions

What is the electric field due to a point charge of +3 µC at a distance of 0.3 m?
  • Step 1: Identify the formula for electric field (E) due to a point charge: E = k * |q| / r^2.
  • Step 2: Determine the values needed for the formula: k (Coulomb's constant) = 9 × 10^9 N m²/C², q (charge) = +3 µC = 3 × 10^-6 C, and r (distance) = 0.3 m.
  • Step 3: Substitute the values into the formula: E = (9 × 10^9) * (3 × 10^-6) / (0.3)^2.
  • Step 4: Calculate (0.3)^2, which is 0.09.
  • Step 5: Now calculate the numerator: (9 × 10^9) * (3 × 10^-6) = 27,000.
  • Step 6: Divide the numerator by the denominator: 27,000 / 0.09 = 300,000.
  • Step 7: Convert 300,000 to scientific notation: 300,000 = 3 × 10^5.
  • Step 8: The final result is E = 90 N/C.
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