Answer:
The magnitude of the electric field at the location can be calculated using the formula for electric force:
Electric force (F) = electric field (E) * charge (q)
Rearranging the formula to solve for electric field (E):
Electric field (E) = Electric force (F) / Charge (q)
Given:
Charge (q) = +2.15 E-19 C (magnitude of the charge of the lint)
Electric force (F) = 4.0 E-9 N (force of attraction between the lint and the clothing)
Plugging in the values into the formula:
Electric field (E) = 4.0 E-9 N / +2.15 E-19 C
Calculating the electric field:
Electric field (E) = 1.8604651162790697 E10 N/C
Rounding to appropriate significant figures, the magnitude of the electric field at the location is approximately 1.9 E10 N/C.
So, the correct option is A. 1.9 E10 N/C.
Step-by-step explanation: