Q. 123.6( 5 Votes )

# Calculate the ele

Answer :

8.5mVm-1

Given,

Area of cross-section of wire, A=2.0 mm2=2×10-6 m2

Current flowing through the wire, I=1A

Resistivity of copper, ρ= 1.7 × 10–8 Ω m

Formula used,

From electrostatics, we know that Electric field, E is Or it can be written as Where l is the distance over which potential difference V has an effect

From Ohm’s law and the concept of current density, the relation connecting resistance, R and resistivity, ρ can be written as, Where ‘l’ is the length of the conductor (or wire) and ‘A’ is the area of cross-section of the conductor.

Solution,

We know that potential difference, V is Using eqn.2, the above expression can be modified as, Now, in order to find the electric field by eqn.1, we can replace V in eqn.1 with the above expression as, On simplification, it becomes, We have all the values for the above expression. So, on substitution, Electric field will be, Hence the electric field in a copper wire is 8.5mVm-1

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