The velocity with which the charge particle move or drift towards the positive terminal of the conductor, when under the influence of the electric field.
The formula for the drift velocity can be written as
And the current that flows in the conductor is
is the drift velocity, e is the charge, E is the electric field, m is the mass of the charge/electron, t is the time difference after electrons collide or the relaxation time, A is the area of the conductor, n is the number of charge.
Now finding the resistance, R which can be written as
Placing the value of current, I as and V as
Now as we know that both resistivity and resistance is related by
In the above formula the value of , then the resistance can be written as
Hence, the resistivity is
The resistivity of the conductor depends on
1. Resistivity is inversely proportional to the number of free electrons in the conductor volume.
2. Resistivity depends inversely on the time of electron relaxation after collision.
Alloys like constantan and manganin are used for making standard resistors because of high resistivity and low temperature coefficient.
The potential difference between two current carrying points with a wire having uniform area and substance, the potentiometer reading is directly proportional to the length of the wire.
A potentiometer circuit diagram Fig 26.2 is given as
The length of the potentiometer circuit is 1m, the balance length of the potentiometer is AO = l, the main resistance is , the resistance on the circuit wire AB is .
To find the length AO, we use the formula of potential difference which states the ratio of Voltage upon Resistance.
is the potential difference, is the resistance on the wire AB, V is the voltage supplied.
The potential difference across the wire with is
The potential difference across AO with is
Therefore, the length of the wire AO is
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