If R_ s and R_ p are the equivalent resistances of n resistors, each of value R , in…

Physics · Class 12 · CBSE — Current Electricity

If \(R_{s}\) and \(R_{p}\) are the equivalent resistances of \(n\) resistors, each of value \(R\) , in series and parallel combinations respectively, then the value of ( \(R_{s}-R_{p}\) ) is:

  1. \(\left(\frac{{n}^{2}-1}{{n}^{2}}\right) {R}\)
  2. \(\left(\frac{{n}^{2}+1}{{n}^{2}-1}\right) {R}\)
  3. \(\left(\frac{{n}^{2}-1}{{n}}\right) {R}\)
  4. \(\frac{\left({n}^{2}+1\right) {R}}{{n}^{2}}\)

Answer

(A) ( n ^ 2 -1 n ^ 2 ) R

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