In a balanced meter bridge, the segment of wire opposite to a known resistance of \(70 \Omega\) is \(70…

In a balanced meter bridge, the segment of wire opposite to a known resistance of \(70 \Omega\) is \(70 \mathrm{~cm}\). The unknown resistance is
  1. \(30 \Omega\)
  2. \(60 \Omega\)
  3. \(90 \Omega\)
  4. \(15 \Omega\)

Solution

In balanced meter bridge known resistance, \(S=70 \Omega, l=70 \mathrm{~cm}\) \(\therefore\) Unknown resistance, \(R=S\left(\frac{100-l}{l}\right)=\frac{70(100-70)}{70}=30 \Omega\)

Asked in: AP EAMCET 2020 (18 Sep Shift 1)

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