What is the electric field at a distance of 1 m from a charge of -4 μC? (2019)

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Question: What is the electric field at a distance of 1 m from a charge of -4 μC? (2019)

Options:

Correct Answer: -3600 N/C

Exam Year: 2019

Solution:

E = k * |q| / r² = (9 × 10^9 N m²/C²) * (4 × 10^-6 C) / (1 m)² = 3600 N/C, directed towards the charge.

What is the electric field at a distance of 1 m from a charge of -4 μC? (2019)

What is the electric field at a distance of 1 m from a charge of -4 μC? (2019)

Step 1: Identify the charge value. Here, the charge (q) is -4 μC, which is -4 × 10^-6 C.
Step 2: Identify the distance from the charge. The distance (r) is given as 1 m.
Step 3: Use the formula for electric field (E): E = k * |q| / r², where k is the electrostatic constant (approximately 9 × 10^9 N m²/C²).
Step 4: Calculate the absolute value of the charge: |q| = 4 × 10^-6 C.
Step 5: Substitute the values into the formula: E = (9 × 10^9 N m²/C²) * (4 × 10^-6 C) / (1 m)².
Step 6: Perform the calculation: E = (9 × 10^9 * 4 × 10^-6) / 1 = 36,000 N/C.
Step 7: Since the charge is negative, the electric field direction is towards the charge.

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