Final answer:
The electric field strength 12 cm from the sphere's center is determined using Coulomb's law, which involves the charge amount, the distance from the charge, and Coulomb's constant.
Step-by-step explanation:
Finding Electric Field Strength
To find the electric field strength 12 cm from the sphere's center, we need to apply Coulomb's law. This law states that the electric field (E) due to a point charge is given by the equation E = k * |q| / r^2, where k is Coulomb's constant (approximately 8.99 x 10^9 N*m^2/C^2), q is the charge in Coulombs, and r is the distance from the charge in meters.
To find the electric field strength at 12 cm, which is 0.12 meters, from a charge of 1.5 nC (nano-Coulombs), which is 1.5 x 10^-9 C, we use this formula.
The calculation yields an electric field strength, which should match one of the specified options.
Example calculation:
E = (8.99 x 10^9 N*m^2/C^2) * (1.5 x 10^-9 C) / (0.12 m)^2 = 9.4 x 107 N/C approximately.
- Electric Field
- Distance from the Charge