a piece of wire of resistance 2 ohm is cut into 4 equal parts. These parts are then connected in parallel. If R denotes the equivalent resistance of the parallel combination then 2 ohm:R=?
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r = 2 Ω
r = ρL/A
L = L/4
r1=r2=r3-r4 = 2/4 = 1/2 Ω
1/R = 1/r1 + 1/r2 + 1/r3 + 1/r4
1/R = 2 + 2 + 2 + 2
1/R = 8
R = 1/8 Ω
2: R :: 2:(1/8)
2:R :: 16:1
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Above written answer is correct
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