Final answer:
use the given equation Ex = (10 N/C) sin (20x - 500t) to find the electric field. The value of the electric field at x = -3.5 m at t = 0.0065 μs is approximately -2.63 N/C.
Step-by-step explanation:
To calculate the value of the electric field at a specific position and time, we need to use the given equation Ex = (10 N/C) sin (20x - 500t). In this equation, x represents the position and t represents the time.
Plugging in the values x = -3.5 m and t = 0.0065 μs, we can calculate the electric field:
Ex = (10 N/C) sin (20(-3.5) - 500(0.0065))
Ex = (10 N/C) sin (-70 - 3.25)
Ex = (10 N/C) sin (-73.25)
Ex ≈ -2.63 N/C
Therefore, the value of the electric field at x = -3.5 m at t = 0.0065 μs is approximately -2.63 N/C.