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A galvanometer of range 10 mA has a coil of resistance 1 Ω. To use it as a voltmeter of range 10 V, the resistance that must be connected in series with it, is
- a)9 Ω
- b)99 Ω
- c)999 Ω
- d)1000 Ω
Correct answer is option 'C'. Can you explain this answer?
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A galvanometer of range 10 mA has a coil of resistance 1 . To use it a...
Galvanometer as a voltmeter
To use a galvanometer as a voltmeter, we need to connect a resistance in series with it. This additional resistance is known as a shunt resistor. The value of the shunt resistor determines the range of the voltmeter.
Galvanometer specifications
In this case, we have a galvanometer with a range of 10 mA and a coil resistance of 1 Ω. This means that when a current of 10 mA flows through the coil, the deflection of the galvanometer will be maximum.
Calculating the shunt resistance
To convert the galvanometer into a voltmeter of range 10 V, we need to calculate the shunt resistance required.
The formula to calculate the shunt resistance is given by:
Rshunt = (Rg × (Vrange - Vg)) / Ig
Where:
Rshunt = Shunt resistance
Rg = Galvanometer resistance
Vrange = Desired voltmeter range
Vg = Galvanometer voltage for full-scale deflection
Ig = Galvanometer current for full-scale deflection
Calculating the shunt resistance for a range of 10 V
In this case, the desired voltmeter range is 10 V. We know that the galvanometer has a range of 10 mA, which means the galvanometer current for full-scale deflection (Ig) is 10 mA.
To calculate the galvanometer voltage for full-scale deflection (Vg), we can use Ohm's Law:
Vg = Ig × Rg
Substituting the given values:
Vg = 10 mA × 1 Ω = 0.01 V
Now we can calculate the shunt resistance:
Rshunt = (1 Ω × (10 V - 0.01 V)) / 10 mA
Rshunt = (1 Ω × (9.99 V)) / 10 mA
Rshunt = (9.99 Ω × 1000 Ω/1 Ω) = 9990 Ω
Therefore, the resistance that must be connected in series with the galvanometer to use it as a voltmeter of range 10 V is 9990 Ω, which is option 'C'.
To use a galvanometer as a voltmeter, we need to connect a resistance in series with it. This additional resistance is known as a shunt resistor. The value of the shunt resistor determines the range of the voltmeter.
Galvanometer specifications
In this case, we have a galvanometer with a range of 10 mA and a coil resistance of 1 Ω. This means that when a current of 10 mA flows through the coil, the deflection of the galvanometer will be maximum.
Calculating the shunt resistance
To convert the galvanometer into a voltmeter of range 10 V, we need to calculate the shunt resistance required.
The formula to calculate the shunt resistance is given by:
Rshunt = (Rg × (Vrange - Vg)) / Ig
Where:
Rshunt = Shunt resistance
Rg = Galvanometer resistance
Vrange = Desired voltmeter range
Vg = Galvanometer voltage for full-scale deflection
Ig = Galvanometer current for full-scale deflection
Calculating the shunt resistance for a range of 10 V
In this case, the desired voltmeter range is 10 V. We know that the galvanometer has a range of 10 mA, which means the galvanometer current for full-scale deflection (Ig) is 10 mA.
To calculate the galvanometer voltage for full-scale deflection (Vg), we can use Ohm's Law:
Vg = Ig × Rg
Substituting the given values:
Vg = 10 mA × 1 Ω = 0.01 V
Now we can calculate the shunt resistance:
Rshunt = (1 Ω × (10 V - 0.01 V)) / 10 mA
Rshunt = (1 Ω × (9.99 V)) / 10 mA
Rshunt = (9.99 Ω × 1000 Ω/1 Ω) = 9990 Ω
Therefore, the resistance that must be connected in series with the galvanometer to use it as a voltmeter of range 10 V is 9990 Ω, which is option 'C'.
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A galvanometer of range 10 mA has a coil of resistance 1 . To use it as a voltmeter of range 10 V, the resistance that must be connected in series with it, isa)9 b)99 c)999 d)1000 Correct answer is option 'C'. Can you explain this answer?
Question Description
A galvanometer of range 10 mA has a coil of resistance 1 . To use it as a voltmeter of range 10 V, the resistance that must be connected in series with it, isa)9 b)99 c)999 d)1000 Correct answer is option 'C'. 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 of range 10 mA has a coil of resistance 1 . To use it as a voltmeter of range 10 V, the resistance that must be connected in series with it, isa)9 b)99 c)999 d)1000 Correct answer is option 'C'. 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 of range 10 mA has a coil of resistance 1 . To use it as a voltmeter of range 10 V, the resistance that must be connected in series with it, isa)9 b)99 c)999 d)1000 Correct answer is option 'C'. Can you explain this answer?.
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