What is the electric field due to a point charge of +1μC at a distance of 0.1m?

Practice Questions

Q1
What is the electric field due to a point charge of +1μC at a distance of 0.1m?
  1. 9000 N/C
  2. 900 N/C
  3. 90 N/C
  4. 9 N/C

Questions & Step-by-Step Solutions

What is the electric field due to a point charge of +1μC at a distance of 0.1m?
  • Step 1: Identify the formula for the electric field (E) due to a point charge. The formula is E = k * |q| / r^2.
  • Step 2: Determine the values needed for the formula. Here, k (Coulomb's constant) is 9 × 10^9 N m²/C², |q| (the charge) is +1μC, which is 1 × 10^-6 C, and r (the distance) is 0.1 m.
  • Step 3: Substitute the values into the formula. E = (9 × 10^9) * (1 × 10^-6) / (0.1)^2.
  • Step 4: Calculate (0.1)^2, which is 0.01.
  • Step 5: Now substitute this value back into the equation: E = (9 × 10^9) * (1 × 10^-6) / 0.01.
  • Step 6: Calculate the numerator: (9 × 10^9) * (1 × 10^-6) = 9 × 10^3.
  • Step 7: Now divide 9 × 10^3 by 0.01: E = 9 × 10^3 / 0.01 = 9000 N/C.
  • Step 8: Conclude that the electric field due to a point charge of +1μC at a distance of 0.1m is 9000 N/C.
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