Arturo O. answered • 04/28/20

Experienced Physics Teacher for Physics Tutoring

Integrate the current to find charge as a function of time, then divide the charge by e (the magnitude of the electron charge) to find the number of electrons as a function of time.

Assuming i(t) is in units of amps, the number of electrons is

N(t) = (1/e) q(t) = (1/e) ∫i(t)dt = (1/e) ∫10costdt = (1/e)(10sint + c)

q(t_{0}) = 0 ⇒ 10sint_{0} + c = 0 ⇒ c = -10sint_{0}

**N(t) = (1/e) (10sint - 10sint**_{0}**)**