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A DC voltmeter has sensitivity of 1000w /volt. When it measures half full scale in 100V range,the current through the voltmeter is
- a)100 mA
- b)1 mA
- c)50 mA
- d)0.5 mA
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A DC voltmeter has sensitivity of 1000w /volt. When it measures half f...
The resistance of voltmeter is Rv = 1kΩ*1000v =1mΩ
half scale the voltage across the voltmeter is 500V the current through the voltmeter Iv =
500/1mΩ = 5∗10−4A
=0.5mA
Most Upvoted Answer
A DC voltmeter has sensitivity of 1000w /volt. When it measures half f...
Explanation:
Given:
Sensitivity of DC voltmeter = 1000 W/V
Range of voltmeter = 100 V
Reading of voltmeter = half full scale = 50 V
To find:
Current through the voltmeter
Solution:
The current through the voltmeter can be calculated using the formula:
Iv = V / Rv
where, Iv = current through voltmeter
V = voltage across voltmeter
Rv = resistance of voltmeter
Resistance of voltmeter:
The resistance of voltmeter can be calculated using the formula:
Rv = (range / sensitivity)
where, range = 100 V (given)
sensitivity = 1000 W/V (given)
Rv = (100 / 1000) = 0.1 kΩ
Voltage across voltmeter:
The voltage across the voltmeter can be calculated using the formula:
V = (reading / full scale) * range
where, reading = 50 V (given)
full scale = 100 V (given)
range = 100 V (given)
V = (50 / 100) * 100 = 50 V
Current through voltmeter:
Substituting the values of Rv and V in the formula for current, we get:
Iv = V / Rv
Iv = 50 / 0.1kΩ = 0.5 mA
Hence, the current through the voltmeter is 0.5 mA. Therefore, option (D) is the correct answer.
Given:
Sensitivity of DC voltmeter = 1000 W/V
Range of voltmeter = 100 V
Reading of voltmeter = half full scale = 50 V
To find:
Current through the voltmeter
Solution:
The current through the voltmeter can be calculated using the formula:
Iv = V / Rv
where, Iv = current through voltmeter
V = voltage across voltmeter
Rv = resistance of voltmeter
Resistance of voltmeter:
The resistance of voltmeter can be calculated using the formula:
Rv = (range / sensitivity)
where, range = 100 V (given)
sensitivity = 1000 W/V (given)
Rv = (100 / 1000) = 0.1 kΩ
Voltage across voltmeter:
The voltage across the voltmeter can be calculated using the formula:
V = (reading / full scale) * range
where, reading = 50 V (given)
full scale = 100 V (given)
range = 100 V (given)
V = (50 / 100) * 100 = 50 V
Current through voltmeter:
Substituting the values of Rv and V in the formula for current, we get:
Iv = V / Rv
Iv = 50 / 0.1kΩ = 0.5 mA
Hence, the current through the voltmeter is 0.5 mA. Therefore, option (D) is the correct answer.
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A DC voltmeter has sensitivity of 1000w /volt. When it measures half full scale in 100V range,the current through the voltmeter isa)100 mAb)1 mAc)50 mAd)0.5mACorrect answer is option 'D'. Can you explain this answer?
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