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The resistance of a galvanometer is 10Ω. It gives full-scale deflection when 1 mA current is passed. The resistance connected in series for converting it into a voltmeter of 2.5 V will be
- a)24.9Ω
- b)249Ω
- c)2490Ω
- d)24900Ω
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The resistance of a galvanometer is 10Ω. It gives full-scale def...
Understanding the Galvanometer
A galvanometer is an instrument that detects and measures small electric currents. In this case, the galvanometer has a resistance of 10 Ω and shows full-scale deflection with a current of 1 mA.
Calculating Maximum Voltage
To convert the galvanometer into a voltmeter, we need to calculate the maximum voltage it can measure. This is done using Ohm's law (V = I × R):
- Maximum Voltage (Vg) = Current (I) × Resistance (Rg)
- Vg = 1 mA × 10 Ω = 0.001 A × 10 Ω = 0.01 V or 10 mV
Required Voltage for Voltmeter
The goal is to convert it into a voltmeter that can measure up to 2.5 V.
Series Resistance Calculation
To achieve this, we must add a series resistor (Rs) to the galvanometer. The total voltage (V) across the combination of the galvanometer and the resistor should equal 2.5 V:
- Total Voltage (V) = Vg + Voltage across Rs
- 2.5 V = 0.01 V + (I × Rs)
Since I is 1 mA (0.001 A), we rearrange to find Rs:
- 2.5 V = 0.01 V + (0.001 A × Rs)
- Rs = (2.5 V - 0.01 V) / 0.001 A
- Rs = (2.49 V) / (0.001 A) = 2490 Ω
Conclusion
The resistance that needs to be connected in series to convert the galvanometer into a voltmeter capable of measuring 2.5 V is 2490 Ω. Thus, the correct answer is option 'C'.
A galvanometer is an instrument that detects and measures small electric currents. In this case, the galvanometer has a resistance of 10 Ω and shows full-scale deflection with a current of 1 mA.
Calculating Maximum Voltage
To convert the galvanometer into a voltmeter, we need to calculate the maximum voltage it can measure. This is done using Ohm's law (V = I × R):
- Maximum Voltage (Vg) = Current (I) × Resistance (Rg)
- Vg = 1 mA × 10 Ω = 0.001 A × 10 Ω = 0.01 V or 10 mV
Required Voltage for Voltmeter
The goal is to convert it into a voltmeter that can measure up to 2.5 V.
Series Resistance Calculation
To achieve this, we must add a series resistor (Rs) to the galvanometer. The total voltage (V) across the combination of the galvanometer and the resistor should equal 2.5 V:
- Total Voltage (V) = Vg + Voltage across Rs
- 2.5 V = 0.01 V + (I × Rs)
Since I is 1 mA (0.001 A), we rearrange to find Rs:
- 2.5 V = 0.01 V + (0.001 A × Rs)
- Rs = (2.5 V - 0.01 V) / 0.001 A
- Rs = (2.49 V) / (0.001 A) = 2490 Ω
Conclusion
The resistance that needs to be connected in series to convert the galvanometer into a voltmeter capable of measuring 2.5 V is 2490 Ω. Thus, the correct answer is option 'C'.
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The resistance of a galvanometer is 10Ω. It gives full-scale deflection when 1 mA current is passed. The resistance connected in series for converting it into a voltmeter of 2.5 V will bea)24.9Ωb)249Ωc)2490Ωd)24900ΩCorrect answer is option 'C'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The resistance of a galvanometer is 10Ω. It gives full-scale deflection when 1 mA current is passed. The resistance connected in series for converting it into a voltmeter of 2.5 V will bea)24.9Ωb)249Ωc)2490Ωd)24900ΩCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resistance of a galvanometer is 10Ω. It gives full-scale deflection when 1 mA current is passed. The resistance connected in series for converting it into a voltmeter of 2.5 V will bea)24.9Ωb)249Ωc)2490Ωd)24900ΩCorrect answer is option 'C'. Can you explain this answer?.
The resistance of a galvanometer is 10Ω. It gives full-scale deflection when 1 mA current is passed. The resistance connected in series for converting it into a voltmeter of 2.5 V will bea)24.9Ωb)249Ωc)2490Ωd)24900ΩCorrect answer is option 'C'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The resistance of a galvanometer is 10Ω. It gives full-scale deflection when 1 mA current is passed. The resistance connected in series for converting it into a voltmeter of 2.5 V will bea)24.9Ωb)249Ωc)2490Ωd)24900ΩCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resistance of a galvanometer is 10Ω. It gives full-scale deflection when 1 mA current is passed. The resistance connected in series for converting it into a voltmeter of 2.5 V will bea)24.9Ωb)249Ωc)2490Ωd)24900ΩCorrect answer is option 'C'. Can you explain this answer?.
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