Question

(r+1)^2 + (r+2)^2 +.........+n^2​

Answer 1

Answer:

Total number of Resistors = n

Their Resistances are as follows :-

R, (R+1),(R+2)+.....+(R+n)

Now,

In series Connections we know that

Here also,

Applying the same formula for series connections :-

Thus,

The equivalent Resistance will be equal to :-

Now,

For explanation :-

Consider an AP

1,2,3,4...... n terms

a=1 and d=1

Sum of the AP is :-

Hence,

Equivalent Resistance is equal to

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