A wire carries a current of 1.5 A, when a potential difference of 2.1 V is applied across it. What is its conductance? If the wire is of length 3 m and area of cross-section 5.4 x 10^–6 m², calculate its conductivity.

Solution

Given,
Current carried by the wire, I = 1.5 A
Potential difference applied across the wire, V = 2.1 V
Length of the wire, l = 3 m
Area of cross-section of the wire, $A = 5.4 \times 10^{- 6} m^{2}$

Conductance of the wire is G given by,
   $G = \frac{1}{R} = \frac{I}{V} = \frac{1.5}{2.1} = 0.714 s$

Conductivity is given by

$σ = \frac{1}{ρ} = \frac{l}{RA} = \frac{I l}{VA} = \frac{1.5 \times 3}{2.1 \times 5.4 \times 10^{- 6}}$

$= 3.97 \times 10^{5} {Sm}^{- 1}$

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A wire carries a current of 1.5 A, when a potential difference of 2.1 V is applied across it. What is its conductance? If the wire is of length 3 m and area of cross-section 5.4 x 10^–6 m², calculate its conductivity.

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A wire carries a current of 1.5 A, when a potential difference of 2.1 V is applied across it. What is its conductance? If the wire is of length 3 m and area of cross-section 5.4 x 10–6 m2, calculate its conductivity.

Some More Questions From Current Electricity Chapter

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A wire carries a current of 1.5 A, when a potential difference of 2.1 V is applied across it. What is its conductance? If the wire is of length 3 m and area of cross-section 5.4 x 10^–6 m², calculate its conductivity.