What is the electric field due to a point charge of +1μC at a distance of 0.1m?
Practice Questions
1 question
Q1
What is the electric field due to a point charge of +1μC at a distance of 0.1m?
9000 N/C
900 N/C
90 N/C
9 N/C
Electric field E = k * |q| / r^2 = (9 × 10^9) * (1 × 10^-6) / (0.1)^2 = 9000 N/C.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the electric field due to a point charge of +1μC at a distance of 0.1m?
Solution: Electric field E = k * |q| / r^2 = (9 × 10^9) * (1 × 10^-6) / (0.1)^2 = 9000 N/C.
Steps: 8
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.
