Question

A WIRE IS HAS RESISTANCE OF 2 Ohm. IF THE WIRE IF STRETCHED TWICE ITS LENGTH THEN WHAT WILL BE THE CHANGE IN R2 AND FIND THE NEW RESISTANCE.


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Answer 1

Hello ❤

Answer ⤵⤵

⏩Let the initial resistance be R1 and final resistancw be R2.

Therefore...

By a formula (**you can use this shortcut formula)

Change in R2 = change in Lenght sq.

= 2sq = 4 times

Thus... change in R2 is 4 times.

Therefore the new resistance of the strtched wire wd be

R1 ×4 = 2 × 4 = 8 ohm

_________________

You can use another formula as well...

⏩ R2/R1 = (L2/L1)sq.

R2 / 2 = ( 2L1/L1)sq.

R2 / 2= (2) sq.

R2 /2 = 4

R2 = 2 × 4 = 8 ohm

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Answer 2

SOLUTION

A wire of Resistance= 2ohm

We know that R= p.I/A

The volume of the conductor is (v) = A/2× 2L (as volume is constant)

=) R'= p.2L/A/2

=) p.4L /A

=) 4L/A

=) 4R

If the resistance is two ohm the value of R is 2

R'= 4R

=) R'= 4× 2

=) R'= 8

=) R'= 8ohm

hope it helps ☺️