Question

5. A uniform wire of resistance R is cut into three
equal pieces, are these pieces are joined in
parallel. What is the equivalent resistance of
the combination?​

Answer 1

Answer:

R/9

Explanation:

Let's assume that 3 wires are in series with equal resistances (R')

in series,

Equivalent Resistance = Sum of Individual Resistances

so, R = R' + R' + R'

R = 3R'

R' = R/3

now these 3 wires are connected in parallel

so,

Reciprocal of Equivalent Resistance = 1/R' + 1/R' + 1/R'

= 3/R'

= 3/(R/3)

= 9/R

so, Equivalent Resistance = R/9

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