Electronic types neglect the force of gravity on electrons.To see why, compute the force of Earth's gravity on an electron and compare it with the force exerted on the electron by an electric field of magnitude 6000 V/m (a relatively small field). The mass of an electron 9.1093897*10^-31 and the charge of electron 1.602*10^-19
include correct units
what is your question here? Compute the two forces and compare.
To compute the force of gravity on an electron, we can use the formula for gravitational force:
F_gravity = (G * m1 * m2) / r^2
where G is the gravitational constant (6.67430 x 10^-11 N m^2/kg^2), m1 and m2 are the masses of the two objects interacting, and r is the distance between the centers of their masses.
In this case, we are calculating the force of gravity on an electron, so m1 is the mass of the Earth (5.97219 x 10^24 kg), m2 is the mass of the electron (9.1093897 x 10^-31 kg), and r is the radius of the Earth (6.371 x 10^6 m).
Plugging in these values, we get:
F_gravity = (6.67430 x 10^-11 N m^2/kg^2) * (5.97219 x 10^24 kg) * (9.1093897 x 10^-31 kg) / (6.371 x 10^6 m)^2
To compute the force exerted by the electric field on the electron, we can use the formula for electric force:
F_electric = q * E
where q is the charge of the electron (-1.602 x 10^-19 C) and E is the electric field strength (6000 V/m).
Plugging in these values, we get:
F_electric = (-1.602 x 10^-19 C) * (6000 V/m)
Now, let's calculate these forces:
F_gravity = (6.67430 x 10^-11 N m^2/kg^2) * (5.97219 x 10^24 kg) * (9.1093897 x 10^-31 kg) / (6.371 x 10^6 m)^2
F_electric = (-1.602 x 10^-19 C) * (6000 V/m)
Let's compute each of these values:
F_gravity = 8.98347 x 10^-47 N
F_electric = -9.612 x 10^-16 N
Comparing the magnitudes of these forces, we see that the force of gravity on an electron is much smaller than the force exerted by an electric field of magnitude 6000 V/m. The force of gravity is approximately 10^-31 times smaller than the force of the electric field.
It is worth noting that, in most electronic systems, other forces such as electromagnetic forces dominate over the force of gravity on electrons. This is why it is often neglected in electronic calculations.