Question

a piece of wire R is cut into 6 equal parts. these parts are then connected in parallel. lif the equivalent resistance of this combination is R'. write the ratio for R/R'?​

Answer 1

$\huge\pink{Solution}$

Let the resistance be R.

Other resistances are R/6,R/6.......R/6.

We know that in parallel connection,

1/R(eq) = 1/R1 + 1/R2+..... +1/R6

So,

1/R' = 6/R + 6/R + 6/R + 6/R + 6/R + 6/R

1/R' = (6+6+6+6+6+6)/R

1/R' = 36/R

R' = R/36

$\green{Now}$

R/R' = R/(R/36)

R/R' = 36R/R

R/R' = 36/1 = 36:1

$\large\red{Hope}$$\large\red{it}$$\large\red{helps}$

Answer 2

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