How long will it take for an electric field of strength E = 100 N / C to accelerate an electron moving along

| February 7, 2021 | education

How long will it take for an electric field of strength E = 100 N / C to accelerate an electron moving along its line of force from a velocity V0 = 100 m / s to a velocity V = 10 km / s?

E = 100 N / cell.

V0 = 100 m / s.

V = 10 km / s = 10000 m / s.

m = 9.1 * 10-31 kg.

q = 1.6 * 10-19 Cl.

t -?

An electron has a mass m = 9.1 * 10-31 kg and has an electric charge q = 1.6 * 10-19 C. An electrostatic force F acts on it in an electric field, the value of which is expressed by the formula: F = q * E, where E is the electric field strength.

Let’s write 2 Newton’s law: m * a = F.

According to the definition, the acceleration of an electron a is expressed by the formula: a = (V – V 0) / t.

m * (V – V 0) / t = q * E.

t = m * (V – V 0) / q * E.

t = 9.1 * 10-31 kg * (10000 m / s – 100 m / s) / 1.6 * 10-19 C * 100 N / C = 563 * 10-12 s.

Answer: an electric field accelerates an electron in a time t = 563 * 10-12 s.



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