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If a cell of constant electromotive force produces the same amount of heat during the same time in two independent resistances R₁ and R₂, when connected separately one after the other, across the cell, then the internal resistance of the cell is
- a)(R₁ + R₂)
- b)(R₁ - R₂)/2
- c)√R₁ R₂/2
- d)√R₁ R₂
Correct answer is option 'D'. Can you explain this answer?
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If a cell of constant electromotive force produces the same amount of ...
P = V2/R1+r
P =V2/R2-r
(R1 - R2) /2
Most Upvoted Answer
If a cell of constant electromotive force produces the same amount of ...
(R + R)/2
d) 2R
Answer:
c) (R + R)/2
Explanation:
Let the internal resistance of the cell be r.
When the resistance R is connected across the cell, the current flowing through the circuit is I1 = E/(R + r), where E is the electromotive force of the cell.
The heat produced in the resistance R during a time t is given by H1 = I1^2 R t = E^2 R t / (R + r)^2.
When the resistance R is disconnected and the resistance R is connected across the cell, the current flowing through the circuit is I2 = E/(R + r).
The heat produced in the resistance R during the same time t is given by H2 = I2^2 R t = E^2 R t / (R + r)^2.
Since the same amount of heat is produced in both cases, we have H1 = H2, which gives:
E^2 R t / (R + r)^2 = E^2 R t / (R + r)^2
Simplifying this equation, we get:
R = (R + R)/2 - r
Therefore, the internal resistance of the cell is (R + R)/2 - R = R/2.
d) 2R
Answer:
c) (R + R)/2
Explanation:
Let the internal resistance of the cell be r.
When the resistance R is connected across the cell, the current flowing through the circuit is I1 = E/(R + r), where E is the electromotive force of the cell.
The heat produced in the resistance R during a time t is given by H1 = I1^2 R t = E^2 R t / (R + r)^2.
When the resistance R is disconnected and the resistance R is connected across the cell, the current flowing through the circuit is I2 = E/(R + r).
The heat produced in the resistance R during the same time t is given by H2 = I2^2 R t = E^2 R t / (R + r)^2.
Since the same amount of heat is produced in both cases, we have H1 = H2, which gives:
E^2 R t / (R + r)^2 = E^2 R t / (R + r)^2
Simplifying this equation, we get:
R = (R + R)/2 - r
Therefore, the internal resistance of the cell is (R + R)/2 - R = R/2.
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If a cell of constant electromotive force produces the same amount of heat during the same time in two independent resistances R₁ and R₂, when connected separately one after the other, across the cell, then the internal resistance of the cell isa)(R₁ + R₂)b)(R₁ - R₂)/2c)√R₁ R₂/2d)√R₁ R₂Correct answer is option 'D'. Can you explain this answer?
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If a cell of constant electromotive force produces the same amount of heat during the same time in two independent resistances R₁ and R₂, when connected separately one after the other, across the cell, then the internal resistance of the cell isa)(R₁ + R₂)b)(R₁ - R₂)/2c)√R₁ R₂/2d)√R₁ R₂Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If a cell of constant electromotive force produces the same amount of heat during the same time in two independent resistances R₁ and R₂, when connected separately one after the other, across the cell, then the internal resistance of the cell isa)(R₁ + R₂)b)(R₁ - R₂)/2c)√R₁ R₂/2d)√R₁ R₂Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a cell of constant electromotive force produces the same amount of heat during the same time in two independent resistances R₁ and R₂, when connected separately one after the other, across the cell, then the internal resistance of the cell isa)(R₁ + R₂)b)(R₁ - R₂)/2c)√R₁ R₂/2d)√R₁ R₂Correct answer is option 'D'. Can you explain this answer?.
If a cell of constant electromotive force produces the same amount of heat during the same time in two independent resistances R₁ and R₂, when connected separately one after the other, across the cell, then the internal resistance of the cell isa)(R₁ + R₂)b)(R₁ - R₂)/2c)√R₁ R₂/2d)√R₁ R₂Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If a cell of constant electromotive force produces the same amount of heat during the same time in two independent resistances R₁ and R₂, when connected separately one after the other, across the cell, then the internal resistance of the cell isa)(R₁ + R₂)b)(R₁ - R₂)/2c)√R₁ R₂/2d)√R₁ R₂Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a cell of constant electromotive force produces the same amount of heat during the same time in two independent resistances R₁ and R₂, when connected separately one after the other, across the cell, then the internal resistance of the cell isa)(R₁ + R₂)b)(R₁ - R₂)/2c)√R₁ R₂/2d)√R₁ R₂Correct answer is option 'D'. Can you explain this answer?.
Solutions for If a cell of constant electromotive force produces the same amount of heat during the same time in two independent resistances R₁ and R₂, when connected separately one after the other, across the cell, then the internal resistance of the cell isa)(R₁ + R₂)b)(R₁ - R₂)/2c)√R₁ R₂/2d)√R₁ R₂Correct 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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