# Calculate the ele

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

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

An inductance of HC Verma - Concepts of Physics Part 2