In the figure, the value of resistors to be connected between `C` and `D` so that the resistance of the entire circuit between `A` and `B` does not change with the number of elementary set used is

Options

A. R
B. `R(sqrt3 -1)`
C. 3R
D. `R(sqrt3 -1)`

Answer

B

Explanation

Potential difference across C and D is 100 V

Hence `I_1 = (100)/(100) =1A, V_(AC) = 120 -100 =20KV`
and `I = (20)/(10) 2A. Hence, I_2 = 2-1 = 1A`
`R =100//I_2 = 100 Omega`