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Byju's Answer
Standard XII
Physics
Resistance and Resistors
A wire of a g...
Question
A wire of a given material having length
l
and area of cross-section
A
has a resistance
8
Ω
. Determine the resistance of another wire of same material having length
2
l
and area of cross-section
A
2
?
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Solution
Step 1: Initial Resistance
Initial length
=
l
Initial cross section
=
A
Initial Resistance
=
ρ
l
A
⇒
R
=
ρ
l
A
=
8
Ω
.
.
.
.
(
1
)
Step 2: Final resistance
Final length
l
′
=
2
l
Final cross section area
A
′
=
A
2
Final Resistance
R
′
=
ρ
l
′
A
′
=
ρ
2
l
A
2
=
4
ρ
l
A
⇒
R
′
=
4
ρ
l
A
From equation
(
1
)
R
′
=
4
R
=
4
×
8
=
32
Ω
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3
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