A copper wire has diameter 0.5mm and
resistivity of 1.6 x 10-6ohm m what will be the
length of
this wire to make its resistance 10 ohm?
How much does the resistance change if the
diameter is doubled?
Answers
Answered by
117
QUESTION:-
A copper wire has diameter 0.5mm and resistivity of 1.6 x 10-6Ω m what will be the length of this wire to make its resistance 10 ohm?
How much does the resistance change if the diameter is doubled?
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ANSWER:-
✦Let diameter=d,
✦radius=r
✦Area of cross section=A,
✦Resistance=R
✦Resistivity= and
✦ Length = l
______________⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
i)Diameter ,d=0.5mm
Radius,
r
•Area of cross-section,
A
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
•Resistance, R=10Ω
Resistivity,Ωm,
Length,l=?
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
We know that,
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
______________
ii)The area of cross section,
Its resistance,
★When the diameter is doubled, area of cross-section,
Its resistance,
•From (1) and (2) ,we have
or
_______________
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