Calculate the magnitude and direction of the electric force if a charge of −3.5 × 10−7 C is placed in a field of 12 N/C [right].?
To calculate the magnitude and direction of the electric force, you can use the formula:
Electric Force (F) = Electric Field Strength (E) × Charge (q)
Given:
Electric Field Strength (E) = 12 N/C [right]
Charge (q) = -3.5 × 10^−7 C
Magnitude of Electric Force:
Plug the given values into the formula:
F = E × q
F = 12 N/C × (-3.5 × 10^−7 C)
Now, calculate the value using a calculator:
F ≈ -4.2 × 10^-6 N
The magnitude of the electric force is approximately 4.2 × 10^-6 Newtons.
Direction of Electric Force:
The direction of the electric force can be determined by the sign of the charge (q). In this case, the charge is negative, so the force will be in the opposite direction as the electric field (which is to the right).
Therefore, the direction of the electric force is to the left.