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JEE Mains · Physics · STD 12 - 3. current electricity

the given potentiometer has its wire of resistance \(10\, \Omega\). When the sliding contact is in the middle of the potentiometer wire, the potential drop across \(2\, \Omega\) resistor is -

  1. A \(\frac{40}{11}\, {V}\)
  2. B \(10\, {V}\)
  3. C \(\frac{40}{9} \,{V}\)
  4. D \(5 \,{V}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{40}{9} \,{V}\)

Step-by-step Solution

Detailed explanation

\(\frac{20- V _{0}}{5}+\frac{0- V _{0}}{5}+\frac{20- V _{0}}{2}=0\) \(4+10=\frac{2 V _{0}}{5}+\frac{ V _{0}}{2}\) \(14=\frac{4 V _{0}+5 V _{0}}{10}\) \(V _{0}=\frac{140}{9} Volt \) Potential difference across \(2 \Omega\) resistor is \(20- V _{0}\) That is…
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