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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?
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
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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.
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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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