Question

How is the resistance affected if the wire:
a) thick and long
b) thin and long
c) thick and short
d) thin and short?

Answer 1

$\huge\green{Hello there !}$

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$\huge\blue{Factors affecting resistance}$

Resistance is given by :-

R = rho L/A

It is directly proportional to length of wire

Inversely proportional to area of cross section of wire

Temperature dependent

$\huge\red{First case}$

a▪ thick and long :-

When wire is thick means area of cross section is more so resistance will be less, and long means length is more so resistance will decrease ,

So.....

In this case resistance will remain the same .

$\huge\blue{Second case}$

b▪ thin and long

If wire is thin this means that area is smaller so resistance will be more . and if wire is long then as length is directly proportional to length its resistance will be more.

So.......

In this case resistance remains same .

$\huge\pink{Third case}$

c▪ thick and short

Thick means more area of cross section , as resistance isinversely proportional to area so resistance will be less and short wire means less length that is less resistance .

So ....

In this resistance is very less

$\huge\purple{Fourth case }$

d▪ thin and short

Area is less ,resistance will be more , it is short wire so resistance will be less

So ....

In this case resistance is less because area of cross section is less and at the same time length of wire is also short.

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$\huge\violet{INSHALLAH it will help U}$

Answer 2

$\huge\underline{First \:case}$

When wire is thick means area of cross section is more so resistance will be less, and long means length is more so resistance will decrease ,

So, In this case resistance will remain the same

$\huge\underline{Second \: case}$

If wire is thin this means that area is smaller so resistance will be more . and if wire is long then as length is directly proportional to length its resistance will be more.

So, In this case resistance remains same

$\huge\underline{Third \:case}$

Thick means more area of cross section , as resistance isinversely proportional to area so resistance will be less and short wire means less length that is less resistance .

So, In this resistance is very less

$\huge\underline{Fourth \:case}$

Area is less ,resistance will be more , it is short wire so resistance will be less

So, In this case resistance is less because area of cross section is less and at the same time length of wire is also short.