A wire is drawn into double its length and half its original cross-section. What will be increase in its (i) resistance and (ii) resistivity?
Text Solution
Verified by Experts
`R_(1)= rho(2l)//(A//2)= 4 rho l//A= 4R`, so increase in resistance `= R_(1) - R = 4 R - R = 3R`. Resistivity will not change as it is independent of the dimension of the wire but depends upon the nature of the wire and also on the temperature of the wire.
Topper's Solved these Questions
CURRENT ELECTRICITY
PRADEEP|Exercise Conceptual Problems|3 Videos
CURRENT ELECTRICITY
PRADEEP|Exercise Very short Q/A|7 Videos
COMMUNICATION SYSTEMS
PRADEEP|Exercise MODEL TEST PAPER-2|9 Videos
DUAL NATURE OF RADIATION AND MATTER
PRADEEP|Exercise Exercise|191 Videos
Similar Questions
Explore conceptually related problems
A wire is drawn into double its length and half its original cross-section. What will be change in its resistance and specific resistance? Or. A wire of resistivity rho is stretched to twice its length. What will be its new resistivity ?
A given wire having resistance R is stretched so as to reduce its diameter to half of its previous value. What will be its new resistance and resistivity?
A wire of 10 Omega resistance is stretched to thrice its original length. What will be its (i) new resistivity and (ii) new resistance?
A wire of resistance 10 Omega is drawn out so that its length is thrice its original length. Calculate its new resistance (resistivity and density of the material remain uncharged). " " Or A wire of resistance 10 Omega is drawn out so that its length is increased by twice its original length. Calculate its new resistance.
A given wire is stretched to double its length. How will its resistance change ?
A wire of resistance 10 Omega is drawn out so that its length is thrice its original length. Calculate its new resistance (resistivity and density of the material remain uncharged).
When the length and area of cross-section both are doubled, then its resistance
When the length and area of cross-section both are doubled, then its resistance
PRADEEP-CURRENT ELECTRICITY-Problems for Practice (B)
