Current Electricity

Question

Wired Faculty App

Two wire of equal lengths, one of copper and the other of manganin have the same resistance. Which wire is thicker?

Solution

Resistance is given by R= $ρ \frac{l}{A}$
The length and resistance of the wires are equal.

$\Rightarrow R_{1} = R_{2} \Rightarrow ρ_{1} \frac{l}{A_{1}} = ρ_{2} \frac{l}{A_{2}} \Rightarrow \frac{ρ_{1}}{ρ_{2}} = \frac{A_{1}}{A_{2}}$

Resistivity of Copper wire is less than that of the resistivity of magnanin wire. Therefore, the area of cross- section of copper wire is less than that of magnanin.
Hence, Manganin wire is thicker.

For Daily Free Study Material Join wiredfaculty

Current Electricity

Two wire of equal lengths, one of copper and the other of manganin have the same resistance. Which wire is thicker?

Some More Questions From Current Electricity Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Location