You visited us 1 times! Enjoying our articles? Unlock Full Access!

Resistivity

What is the r...

Question

What is the relation between resistance R and resistivity $ρ$ of a wire ?

R = \frac{ρ A}{l}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

R = \frac{ρ l}{A}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

R = \frac{A}{ρ l}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

R = \frac{l}{ρ A}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $R = \frac{ρ l}{A}$
resistivity is a measure of the resisting power of a specified material to the flow of an electric current. So resistance is directly proportional to resistivity of material used.
$R \propto ρ$
If length is larger then electron has to travel longer so resistance is directly proportion to length.
$R \propto l$
If cross sectional area larger electron gets sufficient space for travel so resistance is inversely proportion to cross sectional area.
$R \propto \frac{1}{A}$
hence
$R = ρ \frac{l}{A}$

Suggest Corrections

Similar questions

Which among the following equations gives the correct relation between resistance(R), length of conductor(L),the area of cross-section of the conductor(A) and resistivity $(ρ)$ ?

Q. The magnitude of summation of powers of

M, L, T

and

A

in dimensional formula of resistivity of a conductor is. Given

R = \frac{ρ l}{A}

, where

ρ

is the resistivity,

l

is length and

A

is area

Q. The specific resistance

ρ

of a circular wire of radius r, resistance R, and length l is given by

ρ = π r^{2} R / l

. Given:

r = 0.24 \pm 0.02 c m, R = 30 \pm 1 Ω,

and

l = 4.80 \pm 0.01 c m .

The percentage error in

ρ

is nearly:

Q. We know resistance is given by the equation,

R = \frac{ρ l}{A}

So, for a resistor of a particular material, if the resistance is doubled, by what factor does

ρ

change?

Q. Two resistor A and B have resistances R

_{A}

and R

_{B}

respectively with

R_{A} < R_{B}

. The resistivities of their materials are

ρ_{A}

and

ρ_{B}

. Then

Join BYJU'S Learning Program

What is the relation between resistance R and resistivity ρ of a wire ?

What is the relation between resistance R and resistivity $ρ$ of a wire ?