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A battery of e.m.f. 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 P.D. lf R alone is gradually reduced to zero, which of the following best describes I and V?
- a)I approaches E / r, V approaches E
- b)I approaches infinity, V approaches E
- c)I approaches zero, V approaches E
- d)I approaches E / r, V approaches zero
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A battery of e.m.f. E has an internal resistance r. A variable resista...
Explanation:
When the variable resistance R is connected to the terminals of the battery, a current I is drawn from the battery. The terminal P.D. is V. If R alone is gradually reduced to zero, the following happens:
Current I
As the resistance R is reduced to zero, the current I will increase significantly. This is because the resistance R is inversely proportional to current I, according to Ohm's law. Therefore, if R is reduced to zero, the current I will approach infinity. However, this is not physically possible, as the battery has an internal resistance r that will limit the current flowing through it.
The current I will approach a maximum value of E / r. This is because the maximum current that can flow through the circuit is limited by the internal resistance r of the battery, which acts as a resistance in series with R. Therefore, the current I will approach the value of the EMF of the battery divided by its internal resistance.
Terminal P.D. V
As R is reduced to zero, the terminal P.D. V will approach zero. This is because the voltage drop across the internal resistance r of the battery increases as the current I increases. Therefore, the voltage drop across R decreases, and the terminal P.D. V approaches zero.
Therefore, the correct option is D, where I approaches E / r and V approaches zero as R is gradually reduced to zero.
When the variable resistance R is connected to the terminals of the battery, a current I is drawn from the battery. The terminal P.D. is V. If R alone is gradually reduced to zero, the following happens:
Current I
As the resistance R is reduced to zero, the current I will increase significantly. This is because the resistance R is inversely proportional to current I, according to Ohm's law. Therefore, if R is reduced to zero, the current I will approach infinity. However, this is not physically possible, as the battery has an internal resistance r that will limit the current flowing through it.
The current I will approach a maximum value of E / r. This is because the maximum current that can flow through the circuit is limited by the internal resistance r of the battery, which acts as a resistance in series with R. Therefore, the current I will approach the value of the EMF of the battery divided by its internal resistance.
Terminal P.D. V
As R is reduced to zero, the terminal P.D. V will approach zero. This is because the voltage drop across the internal resistance r of the battery increases as the current I increases. Therefore, the voltage drop across R decreases, and the terminal P.D. V approaches zero.
Therefore, the correct option is D, where I approaches E / r and V approaches zero as R is gradually reduced to zero.
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A battery of e.m.f. 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 P.D. lf R alone is gradually reduced to zero, which of the following best describes I and V?a)I approaches E / r, V approaches Eb)I approaches infinity, V approaches Ec)I approaches zero, V approaches Ed)I approaches E / r, V approaches zeroCorrect answer is option 'D'. Can you explain this answer?
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A battery of e.m.f. 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 P.D. lf R alone is gradually reduced to zero, which of the following best describes I and V?a)I approaches E / r, V approaches Eb)I approaches infinity, V approaches Ec)I approaches zero, V approaches Ed)I approaches E / r, V approaches zeroCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A battery of e.m.f. 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 P.D. lf R alone is gradually reduced to zero, which of the following best describes I and V?a)I approaches E / r, V approaches Eb)I approaches infinity, V approaches Ec)I approaches zero, V approaches Ed)I approaches E / r, V approaches zeroCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A battery of e.m.f. 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 P.D. lf R alone is gradually reduced to zero, which of the following best describes I and V?a)I approaches E / r, V approaches Eb)I approaches infinity, V approaches Ec)I approaches zero, V approaches Ed)I approaches E / r, V approaches zeroCorrect answer is option 'D'. Can you explain this answer?.
A battery of e.m.f. 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 P.D. lf R alone is gradually reduced to zero, which of the following best describes I and V?a)I approaches E / r, V approaches Eb)I approaches infinity, V approaches Ec)I approaches zero, V approaches Ed)I approaches E / r, V approaches zeroCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A battery of e.m.f. 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 P.D. lf R alone is gradually reduced to zero, which of the following best describes I and V?a)I approaches E / r, V approaches Eb)I approaches infinity, V approaches Ec)I approaches zero, V approaches Ed)I approaches E / r, V approaches zeroCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A battery of e.m.f. 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 P.D. lf R alone is gradually reduced to zero, which of the following best describes I and V?a)I approaches E / r, V approaches Eb)I approaches infinity, V approaches Ec)I approaches zero, V approaches Ed)I approaches E / r, V approaches zeroCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A battery of e.m.f. 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 P.D. lf R alone is gradually reduced to zero, which of the following best describes I and V?a)I approaches E / r, V approaches Eb)I approaches infinity, V approaches Ec)I approaches zero, V approaches Ed)I approaches E / r, V approaches zeroCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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