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An ammeter gives full deflection when a current of 2 amp. flows through it. The resistance of ammeter is 12 ohms. If the same ammeter is to be used for measuring a maximum current of 5 amp., then the ammeter must be connected with a resistance of
- a)8 ohms in series
- b)18 ohms in series
- c)8 ohms in parallel
- d)18 ohms in parallel
Correct answer is option 'C'. Can you explain this answer?
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An ammeter gives full deflection when a current of 2 amp. flows throug...
Solution:
Given, full deflection current, I = 2 A and ammeter resistance, R = 12 Ω
Let the resistance to be connected in parallel with the ammeter be R'.
Let the maximum current that can be measured by the ammeter be Imax = 5 A.
To find: The value of R' to be connected in parallel with the ammeter.
Using the ammeter and R', a parallel combination is formed, which can be represented as shown below.
Let I' be the current that flows through the parallel combination.
From Kirchhoff's current law, the current I flowing through the circuit is given by:
I = I' + Imax
As per the question, the ammeter gives full deflection when the current is 2 A.
Therefore, the current through the ammeter, Ia = 2 A.
From Ohm's law, the potential difference across the ammeter, Va = Ia × R = 2 × 12 = 24 V.
The potential difference across the parallel combination, V' = Va.
From Ohm's law, the current I' flowing through the parallel combination is given by:
I' = V' / R'
Substituting the values of V' and I' in the equation obtained above, we get:
I = V' / R' + Imax
Substituting the values of I, V' and Imax in the above equation, we get:
5 = 24 / R' + 2
Solving the above equation for R', we get:
R' = 8 Ω
Therefore, the value of R' to be connected in parallel with the ammeter is 8 Ω.
Hence, option C is the correct answer.
Given, full deflection current, I = 2 A and ammeter resistance, R = 12 Ω
Let the resistance to be connected in parallel with the ammeter be R'.
Let the maximum current that can be measured by the ammeter be Imax = 5 A.
To find: The value of R' to be connected in parallel with the ammeter.
Using the ammeter and R', a parallel combination is formed, which can be represented as shown below.
Let I' be the current that flows through the parallel combination.
From Kirchhoff's current law, the current I flowing through the circuit is given by:
I = I' + Imax
As per the question, the ammeter gives full deflection when the current is 2 A.
Therefore, the current through the ammeter, Ia = 2 A.
From Ohm's law, the potential difference across the ammeter, Va = Ia × R = 2 × 12 = 24 V.
The potential difference across the parallel combination, V' = Va.
From Ohm's law, the current I' flowing through the parallel combination is given by:
I' = V' / R'
Substituting the values of V' and I' in the equation obtained above, we get:
I = V' / R' + Imax
Substituting the values of I, V' and Imax in the above equation, we get:
5 = 24 / R' + 2
Solving the above equation for R', we get:
R' = 8 Ω
Therefore, the value of R' to be connected in parallel with the ammeter is 8 Ω.
Hence, option C is the correct answer.
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An ammeter gives full deflection when a current of 2 amp. flows through it. The resistance of ammeter is 12 ohms. If the same ammeter is to be used for measuring a maximum current of 5 amp., then the ammeter must be connected with a resistance ofa)8 ohms in seriesb)18 ohms in seriesc)8 ohms in paralleld)18 ohms in parallelCorrect answer is option 'C'. 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 An ammeter gives full deflection when a current of 2 amp. flows through it. The resistance of ammeter is 12 ohms. If the same ammeter is to be used for measuring a maximum current of 5 amp., then the ammeter must be connected with a resistance ofa)8 ohms in seriesb)18 ohms in seriesc)8 ohms in paralleld)18 ohms in parallelCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ammeter gives full deflection when a current of 2 amp. flows through it. The resistance of ammeter is 12 ohms. If the same ammeter is to be used for measuring a maximum current of 5 amp., then the ammeter must be connected with a resistance ofa)8 ohms in seriesb)18 ohms in seriesc)8 ohms in paralleld)18 ohms in parallelCorrect answer is option 'C'. Can you explain this answer?.
An ammeter gives full deflection when a current of 2 amp. flows through it. The resistance of ammeter is 12 ohms. If the same ammeter is to be used for measuring a maximum current of 5 amp., then the ammeter must be connected with a resistance ofa)8 ohms in seriesb)18 ohms in seriesc)8 ohms in paralleld)18 ohms in parallelCorrect answer is option 'C'. 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 An ammeter gives full deflection when a current of 2 amp. flows through it. The resistance of ammeter is 12 ohms. If the same ammeter is to be used for measuring a maximum current of 5 amp., then the ammeter must be connected with a resistance ofa)8 ohms in seriesb)18 ohms in seriesc)8 ohms in paralleld)18 ohms in parallelCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ammeter gives full deflection when a current of 2 amp. flows through it. The resistance of ammeter is 12 ohms. If the same ammeter is to be used for measuring a maximum current of 5 amp., then the ammeter must be connected with a resistance ofa)8 ohms in seriesb)18 ohms in seriesc)8 ohms in paralleld)18 ohms in parallelCorrect answer is option 'C'. Can you explain this answer?.
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An ammeter gives full deflection when a current of 2 amp. flows through it. The resistance of ammeter is 12 ohms. If the same ammeter is to be used for measuring a maximum current of 5 amp., then the ammeter must be connected with a resistance ofa)8 ohms in seriesb)18 ohms in seriesc)8 ohms in paralleld)18 ohms in parallelCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for An ammeter gives full deflection when a current of 2 amp. flows through it. The resistance of ammeter is 12 ohms. If the same ammeter is to be used for measuring a maximum current of 5 amp., then the ammeter must be connected with a resistance ofa)8 ohms in seriesb)18 ohms in seriesc)8 ohms in paralleld)18 ohms in parallelCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of An ammeter gives full deflection when a current of 2 amp. flows through it. The resistance of ammeter is 12 ohms. If the same ammeter is to be used for measuring a maximum current of 5 amp., then the ammeter must be connected with a resistance ofa)8 ohms in seriesb)18 ohms in seriesc)8 ohms in paralleld)18 ohms in parallelCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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