An electron with initial speed = 2.54×10^7 m/s is traveling parallel to an electric field of magnitude = 1.66×10^4 N/C .
To find the force experienced by the electron in the electric field, we can use the equation:
F = q * E
where F is the force, q is the charge of the electron, and E is the electric field.
The charge of the electron is a fundamental constant and is equal to -1.6 x 10^-19 C.
Substituting the given values into the equation, we have:
F = (-1.6 × 10^-19 C) * (1.66 × 10^4 N/C)
Multiplying the two values together, we get:
F ≈ -2.656 × 10^-15 N
Therefore, the force experienced by the electron in the electric field is approximately -2.656 × 10^-15 N. The negative sign indicates that the force is acting in the opposite direction to the electric field.
If you have any further questions, feel free to ask!