Two long parallel wires are located in a poorly conducting medium with resistivity ρ . The distance between the axes of the wires is equal to λ , the cross-section radius of each wire equals a. In the case a << λ find.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
[ 
]
Sol. The wires themselves will be assumed to be perfect conductors so the resistance is entirely due to the medium. If the wire is of length L , the resistance R of the medium is 
because different sections of the wire are connected in parallel (by the medium) rather than in series. Thus if 
is the resistance per unit length of the wire then 
, Unit of 
is ohm-meter.
The potential at a point P is by symmetry and superposition
(for 
a)
Then 
(for the potential of 1)
or, 
and 
And
Near either wire 
and
Then 
Which gives 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems