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Answer:
Resistance of a wire R=
A
ρl
where ρ= resistivity, l= length, A= cross section of the wire.
As both have same material and length so R∝
A
1
Thus,
R
1
R
2
=
A
2
A
1
=
1
3
⇒R
2
=3R
1
.
here R
1
is the resistance of thicker wire so its resistance R
1
=10Ω (given)
so, R
2
=3(10)=30Ω
As they are connected in series so the equivalent resistance is
R
eq
=R
1
+R
2
=10+30=40Ω
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