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A galvanometer having a coil resistance 100 Ω gives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V?
- a)10 kΩ
- b)9.9 kΩ
- c)8.9 kΩ
- d)7.9 kΩ
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A galvanometer having a coil resistance 100 Ωgives a full scale ...
Given data:
- Coil resistance of galvanometer (Rg) = 100 Ω
- Full scale deflection current (Ig) = 1 mA = 0.001 A
- Potential difference for full scale deflection in voltmeter (V) = 10 V
Calculating resistance required:
- To convert the galvanometer into a voltmeter, we need to connect a series resistance (Rs) with the galvanometer.
- The total current passing through the galvanometer and the series resistance is the full scale deflection current of the galvanometer.
- The potential difference across the series resistance is equal to the potential difference for full scale deflection in the voltmeter.
Using the formula:
V = Ig * (Rg + Rs)
Substitute the given values:
10 = 0.001 * (100 + Rs)
10 = 0.1 + 0.001Rs
0.001Rs = 9.9
Rs = 9.9 kΩ
Therefore, the value of the resistance required to convert the galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V is 9.9 kΩ (option B).
- Coil resistance of galvanometer (Rg) = 100 Ω
- Full scale deflection current (Ig) = 1 mA = 0.001 A
- Potential difference for full scale deflection in voltmeter (V) = 10 V
Calculating resistance required:
- To convert the galvanometer into a voltmeter, we need to connect a series resistance (Rs) with the galvanometer.
- The total current passing through the galvanometer and the series resistance is the full scale deflection current of the galvanometer.
- The potential difference across the series resistance is equal to the potential difference for full scale deflection in the voltmeter.
Using the formula:
V = Ig * (Rg + Rs)
Substitute the given values:
10 = 0.001 * (100 + Rs)
10 = 0.1 + 0.001Rs
0.001Rs = 9.9
Rs = 9.9 kΩ
Therefore, the value of the resistance required to convert the galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V is 9.9 kΩ (option B).
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Community Answer
A galvanometer having a coil resistance 100 Ωgives a full scale ...
V = 10 volts
When 1 mA current will be flowing,
10 = 1 × 10-3 (100 + R0)
⇒ 10,000 - 100 = 9900 Ω = R0
⇒ R0 = 9.9 kΩ
When 1 mA current will be flowing,
10 = 1 × 10-3 (100 + R0)
⇒ 10,000 - 100 = 9900 Ω = R0
⇒ R0 = 9.9 kΩ
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A galvanometer having a coil resistance 100 Ωgives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V?a)10 kΩb)9.9 kΩc)8.9 kΩd)7.9 kΩCorrect answer is option 'B'. Can you explain this answer?
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A galvanometer having a coil resistance 100 Ωgives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V?a)10 kΩb)9.9 kΩc)8.9 kΩd)7.9 kΩCorrect answer is option 'B'. 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 A galvanometer having a coil resistance 100 Ωgives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V?a)10 kΩb)9.9 kΩc)8.9 kΩd)7.9 kΩCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A galvanometer having a coil resistance 100 Ωgives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V?a)10 kΩb)9.9 kΩc)8.9 kΩd)7.9 kΩCorrect answer is option 'B'. Can you explain this answer?.
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