Two similar wires of same length and same area of cross-section but of different material having resistivity pj and p2 are connected side by side i.e. in parallel. Calculate the effective resistivity of their combination.
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Answer:
Resistance,
R
1
=
A
p
1
L
R
2
=
A
p
2
L
In series combination of resistance,
R
n
=R
1
+R
2
A
n
p
n
L
n
=
A
p
1
L
+
A
p
2
L
. . . . . . .(1)
We know that, A
n
=A
L
n
=2L
Substitute in equation (1), we get
A
p
n
.2L
=
A
p
1
L
+
A
p
2
L
p
n
=
2
p
1
+p
2
The correct option is C.
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