how does the resistance of wire varries with the area of cross section
Answers
Answer:
In order to understand this type of relationships, first you need to remember the formula of resistance of a conducting wire.
Resistance = p (L/A) ,
where p is resistivity, L is length of the wire and A is the area of cross section of wire.
So as per the formula, if the physical conditions ( i.e. temperature) and length is constant, then
Resistance is inversely proportional to the area of cross section of the wire.
I will make you understand in a more simpler way.
See if the area of cross section is more, then the electrons (under potential difference) can move more easily through the wire. Such easier movement signifies lesser hindrance and hence lesser resistance.
Explanation:
by formula of resistance of conducting wire
R= p L/A
where, p is resistivity of given material
L is the length of conducting wire
A is area of cross section of wire
R is the resistance of the given wire.
p is the property of material.
it does depends on temperature , pressure, length and area of wire.
it depends only type of material.
At the constant temperature and length of the wire.
R is inversely proportional to A.