If the electric field due to a point charge is 1000 N/C at a distance of 1m, wha

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Question: If the electric field due to a point charge is 1000 N/C at a distance of 1m, what is the charge?

Options:

Correct Answer: 1μC

Solution:

Using E = k * |q| / r^2, we find q = E * r^2 / k = 1000 * 1^2 / (9 × 10^9) = 1μC.

If the electric field due to a point charge is 1000 N/C at a distance of 1m, what is the charge?

If the electric field due to a point charge is 1000 N/C at a distance of 1m, what is the charge?

Step 1: Understand the formula for electric field due to a point charge, which is E = k * |q| / r^2.
Step 2: Identify the values given in the question: E (electric field) = 1000 N/C, r (distance) = 1 m, and k (Coulomb's constant) = 9 × 10^9 N m^2/C^2.
Step 3: Rearrange the formula to solve for charge (q): q = E * r^2 / k.
Step 4: Substitute the known values into the rearranged formula: q = 1000 * (1^2) / (9 × 10^9).
Step 5: Calculate the value: q = 1000 / (9 × 10^9) = 1.11 × 10^-7 C.
Step 6: Convert the charge from Coulombs to microCoulombs (μC): 1.11 × 10^-7 C = 0.111 μC, which is approximately 1 μC.

Coulomb's Law – The relationship between electric field (E), charge (q), and distance (r) from a point charge, expressed as E = k * |q| / r^2.
Units of Charge – Understanding the conversion of charge from Coulombs to microCoulombs (μC) and the significance of SI units.