Question

At what distance from a charge of 0.100 C will the electric field be 10,000 N/C?

a) 1 m
b) 2 m
c) 3 m
d) 4 m

Answer 1

To find the distance for a given electric field from a charge, we use Coulomb's law for the electric field. The calculation yields an unexpected result, suggesting there might be a need to check the provided values. The correct input should result in one of the provided distance options matching the calculated distance.

Step-by-step explanation:

The question asks at what distance from a charge of 0.100 C the electric field will be 10,000 N/C. To solve this, we use Coulomb's law for the electric field, which states:

E = k * q / r^2

Where E is the electric field, k is Coulomb's constant (8.988 × 10^9 N m^2/C^2), q is the electric charge, and r is the distance from the charge. Substituting the given values:

10,000 N/C = (8.988 × 10^9 N m^2/C^2) * 0.100 C / r^2

Solving for r gives us:

r^2 = (8.988 × 10^9 N m^2/C^2 * 0.100 C) / 10,000 N/C

r = √(8.988 × 10^7 m^2)

r = 9487 m

However, since this value is not one of the options provided, it seems there may have been a misinterpretation of the question or options. Ensure that the charge and electric field values are provided accurately before attempting the calculation.