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UPSC CDS Science Physics Questions Part 1
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© examsnet.com
Question : 53
Total: 105
A copper wire of radius r and length I has a resistance of R. A second copper wire with radius 2r and length I is taken and the two wires are joined in a parallel combination. The resultant resistance of the parallel combination of the two wires will be
[2017 CDS-I]
5R
5
4
R
4
5
R
R
5
Validate
Solution:
The resultant resistance of the parallel combination of the two wires will be
4
R
5
.
R
1
=
ρ
L
A
1
=
P
L
(
3.14
×
r
×
r
)
=
R
R
2
=
ρ
L
A
2
=
P
L
(
3.14
×
2
r
×
2
r
)
R
2
=
R
1
4
=
R
4
When connected in parallel:
1
R
eq
=
1
R
1
+
1
R
2
Req
=
R
5
© examsnet.com
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