Resistance that can be obtained from a combination of an identical resistors each of resistance r is
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Hi.
In series connection :
effective resistance of n resistors is given by Rs = R + R + R + R ....... = nR = X .........(1)
In parallel combination :
effective resistance of n resistors is given by 1/Rp = Y = 1/R + 1/R + 1/R + 1/R + ........
Rp = R/n = Y ..........(2)
dividing eq1 by eq. 2, we get :
X/Y = n2..
Hope this helps u!!!
In series connection :
effective resistance of n resistors is given by Rs = R + R + R + R ....... = nR = X .........(1)
In parallel combination :
effective resistance of n resistors is given by 1/Rp = Y = 1/R + 1/R + 1/R + 1/R + ........
Rp = R/n = Y ..........(2)
dividing eq1 by eq. 2, we get :
X/Y = n2..
Hope this helps u!!!
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