Potential Gradient of potentiometer wire

In summary, the resistivity of a potentiometer wire is (40×10^-8) ohm-m and the area of cross section is (8×10^-6)m^2. If 0.2 amp current is flowing through the wire, the potential gradient can be calculated using the formula V=IR and is equal to 0.01Vm^-1. The error in the calculation was due to a mistake in unit conversion.
  • #1
Tanishq Nandan
122
5

Homework Statement


The resistivity of a potentiometer wire is (40×10^-8) ohm-m and the area of cross section is (8×10^-6)m^2.If 0.2 amp current is flowing through the wire,then the potential gradient will be??

Homework Equations


1.Resistance=[(Resisitvity)×(Length)]/(Cross-sectional area)
2.V=IR
3.Potential gradient of wire= (Potential difference across wire)/(Length of wire)

The Attempt at a Solution


▪Assuming the length of the wire to be l, and using formula 1,we can find the resistance of the wire.
▪Using formula 2,potential difference across the wire can be found,since we know the current flowing through the wire(which will obviously come in terms of l).
▪Using formula 3,we can get the value of potential gradient.
Problem:My answer is coming 1Vm^-1 whereas the answer given is 0.01Vm^-1
IF THE ANSWER GIVEN SEEMS TO BE WRONG,KINDLY REPLY SO.
 
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  • #2
You use the right method, but your answer is wrong. Are you sure you have all units in meters?
 
  • #3
willem2 said:
You use the right method, but your answer is wrong. Are you sure you have all units in meters?
Yeah,they are in meters,but don't worry about it.I got it just now,had been commiting a silly mistake(blunder,crime,punishable by death).Simple calculation error. (I wrote 10^-8 divided by 10^-6 as 1,whereas it should have been 0.01).
But,thanks anyway!
 

1. What is the potential gradient of a potentiometer wire?

The potential gradient of a potentiometer wire is the change in potential per unit length of the wire. It is a measure of the rate at which the potential changes along the length of the wire.

2. How is the potential gradient of a potentiometer wire calculated?

The potential gradient of a potentiometer wire is calculated by dividing the change in potential (measured in volts) by the length of the wire (measured in meters). The resulting unit is volts per meter (V/m).

3. What factors affect the potential gradient of a potentiometer wire?

The potential gradient of a potentiometer wire is affected by the resistance of the wire, the voltage applied to the wire, and the length of the wire. The resistance and voltage directly influence the change in potential, while the length of the wire determines the distance over which this change occurs.

4. How is the potential gradient of a potentiometer wire related to the resistance of the wire?

The potential gradient of a potentiometer wire is directly proportional to the resistance of the wire. This means that as the resistance increases, the potential gradient also increases. This relationship is described by Ohm's Law, which states that the potential difference (or change in potential) is equal to the current multiplied by the resistance.

5. Why is the potential gradient of a potentiometer wire important in scientific experiments?

The potential gradient of a potentiometer wire is important in scientific experiments because it allows for precise measurements of potential differences. By adjusting the length of the wire and observing the change in potential, scientists can accurately determine the potential difference between two points. This can be useful in various experiments, such as measuring the electromotive force of a battery or determining the resistance of a circuit.

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