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The potential difference across terminal...

The potential difference across terminals of a battry is `9.0 V`, when a current of `3.5A` flows through it from its negative terminal to the positive terminal .When a current of `2A` flows through in the opposite direction, the terminal potential difference is `12V`. Find the internal resistance and emf of the battery

Text Solution

Verified by Experts

The correct Answer is:
`2 Omega, 16 V`

When current flow through the battery from its the negative to positive terminal (i.e , current is draw from battery ) then
`V = epsilon - 1 r or 9.0 = epsilon - 3.5 r `…..(i) When current flow through the battrey from its the positive negative to terminal (i.e , battery is charged) then
`V = epsilon 1 r or 12 = epsilon - 2 r `…..(ii)
On solving (i) and (ii) we get
`r = 2 Omega and epsilon = 16 V`
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Knowledge Check

  • The potential difference across te terminals of a battery is 10 V when there is a current of 3 A in the battery from the negative to the positive terminal. When the current is 2A in the reverse direction, the potential difference becomes 15 V. The internal resistance of the battery is

    A
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    B
    `0.4Omega`
    C
    `0.6Omega`
    D
    `0.8Omega`
  • The potential difference across the terminals of a battery is 50 V when 11 A current is drawn and 60 V, when 1A current is drawn . The emf the battery is

    A
    62 V
    B
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    C
    61 V
    D
    64 V
  • When a current of 2 A flows in a battery from negative to positive terminal, the potential difference across it is 12 V. If a current of 3 A flowing in the opposite direction produces a potential difference of 15 V, the emf of the battery is

    A
    `12.6V`
    B
    `13.2V`
    C
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    D
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