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CET Karnataka Medical CET - Karnataka Medical Solved Paper-2010

  • question_answer
    A battery of emf \[E\]has an internal resistance\[r\]. \[A\]variable resistance \[R\]is connected to the terminals of the battery. \[A\]current\[i\] is drawn from the battery. \[V\]is the terminal potential difference. If \[R\]alone is gradually reduced to zero, which of the following best describes \[i\]and\[V\]?

    A)  \[i\]approaches zero, \[V\]approaches \[E\]

    B)  \[i\]approaches \[\frac{E}{r},\]\[V\]approaches zero

    C)  \[i\]approaches \[\frac{E}{r},\]\[V\]approaches \[E\]

    D)  \[i\]approaches infinity, \[V\] approaches \[E\]

    Correct Answer: B

    Solution :

    Current, \[i=\frac{E}{R+r}\] when R decreases to \[0,i=\frac{E}{r}\]Similarly, potential difference \[V=iR\] when R decreases to 0, V = 0


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