What is the electric field at a distance of 1m from a charge of +1μC?

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Question: What is the electric field at a distance of 1m from a charge of +1μC?

Options:

Correct Answer: 9 × 10^6 N/C

Solution:

Electric field E = k * q / r^2 = (9 × 10^9) * (1 × 10^-6) / (1)^2 = 9 × 10^3 N/C.

What is the electric field at a distance of 1m from a charge of +1μC?

What is the electric field at a distance of 1m from a charge of +1μC?

Step 1: Identify the charge value. Here, the charge (q) is +1μC, which is equal to 1 × 10^-6 C.
Step 2: Identify the distance from the charge. The distance (r) is given as 1 meter.
Step 3: Use the formula for electric field (E), which is E = k * q / r^2. Here, k is the electrostatic constant, approximately 9 × 10^9 N m²/C².
Step 4: Substitute the values into the formula: E = (9 × 10^9) * (1 × 10^-6) / (1)^2.
Step 5: Calculate the numerator: (9 × 10^9) * (1 × 10^-6) = 9 × 10^3.
Step 6: Since (1)^2 is 1, the denominator does not change the value.
Step 7: Therefore, the electric field E = 9 × 10^3 N/C.

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