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At what value of the resistance in the circuit shown in the figure will the total resistance between points A and B be independent of the number of cells? If `R = (sqrt(3)+1)Omega`, then the value of x will be `"…….."`Q. |
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Answer» Correct Answer - B `x = ((2R+x)R)/(3R+x)` `3Rx + x^2 = 2R^2 + Rx ` `x^2 + 2Rx - 2R^2 = 0` `x = -2R+-(sqrt(4R^2+8R^2))/2 = R(sqrt3 -1)` `= (sqrt(3) + 1) (sqrt(3) -1) = 3-1 = 2Omega`. |
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