Electric current in metals

Electric current in metals: maximum speed of electron

$$v_{max} = \frac{e\cdot E\cdot t}{m}$$

v_max - maximum speed
e - electron charge
E - electric field
t - time
m - mass

Find It is known that:

Calculate 'v_max'

Electron drift average (mean) velocity

$$v_{vid} = \frac{e\cdot E\cdot t}{2\cdot m}$$

v_avg - average speed (mean velocity)
e - electron charge
E - electric field
t - time
m - mass

Find It is known that:

Calculate 'v_avg'

Current intensity (strength)

$$I = \frac{e^{2}\cdot n0\cdot t\cdot S\cdot U}{2\cdot m\cdot l}$$

I - current intensity
e - electron charge
n0 - electron concentration
t - time
S - cross-sectional area
U - voltage
m - mass
l - length

Find It is known that:

Calculate 'I'

First Faraday's law of electrolysis

$$m = k\cdot \Delta_{q}$$

m - mass of the substance liberated at an electrode
k - electrochemical equivalent
q - charge

Find It is known that:

Calculate 'm'

First Faraday's law of electrolysis

$$m = k\cdot I\cdot t$$

m - mass of the substance liberated at an electrode
k - electrochemical equivalent
I - current intensity
t - time

Find It is known that:

Calculate 'm'

Electrochemical equivalent

$$k = \frac{m}{q}$$

k - electrochemical equivalent
m - ion mass
q - ion charge

Find It is known that:

Calculate 'k'

Second Faraday's law of electrolysis

$$k = \frac{M}{F\cdot n}$$

k - electrochemical equivalent
M - molar mass
F - Faraday constant
n - valence (valency)

Find It is known that:

Calculate 'k'

Faraday number (constant)

$$F = e\cdot N_{A}$$

F - Faraday constant
e - electron charge
N_A - Avogadro constant

Find It is known that:

Calculate 'F'

Electrolysis: mass of the substance

$$m = \frac{M\cdot I\cdot t}{F\cdot n}$$

m - mass of the substance liberated at an electrode
M - molar mass
I - current intensity
t - time
F - Faraday constant
n - valence (valency)

Find It is known that:

Calculate 'm'

Ionization work

$$\frac{m\cdot v^{2}}{2} = A$$

m - mass
v - speed (velocity)
A - work

Find It is known that:

Calculate 'm'

Electron kinetic energy

$$\frac{m\cdot v^{2}}{2} = e\cdot E\cdot l$$

m - mass
v - speed (velocity)
e - electron charge
E - electric field
l - free path length

Find It is known that:

Calculate 'm'

Diode: saturation current intensity

$$I = e\cdot n$$

I - saturation current intensity
e - electron charge
n - number of electrons

Find It is known that:

Calculate 'I'