calculate the equivalent resistance when a wire of resistance 10 ohm is divided into two equal parts and connected in parallel combination
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Explanation:
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Answer:
2.5 ohm
Explanation:
Initially,lenght of wire = l and area = A
If wire is divided in two equal parts then
1st wire,
length = L1
Area = A1
2nd wire,
length = L2
Area = A2
L1= L2= l/2
Volume will always be constant
V1= V2
=>A1L1 = A2L2
=>A1= A2= A
R = resistivity(rho) x length/Area
so,R1=R2=R/2 = 5
For parallel combination,
1/R(equivalent) = 1/R1 + 1/R2
=> R(equivalent) = R1*R2/(R1+R2)
= 5*5/(5+5)
= 25/10 = 2.5 ohm
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