Two metal wires of identical dimensions are connected in series. If 
and 
are the conductivities of the metal wires respectively, the effective conductivity of the combination is
Text Solution
Verified by ExpertsC
As both metal wires are of identical dimensions, so their length and area of cross‐ section will be same. Let them be 
and 
respectively. Then the resistance of the first wire is
(i)
and that of the second wire is
………(ii)
As they are connected in series, so their effective resistance is
(using (i) and (ii)) 
(iii)
If 
is the effective conductivity of the combination, then
….(iv)
Equating eqns. (iii) and (iv), we get
Or 
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