If two 300 V full-scale voltmeters V1 and V2 having sensitivity of 100kΩ/V and 150kΩ/V are connected to measure 500 V, as shown in fig, then 

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WBPSC JE Electrical 2018 (Held on 18th Feb 2018) Official Paper
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  1. V1 and V2 will read 250 V each.
  2. V1, will read 200V and V2 will read 300 V.
  3. V1 will read 300 V and Vwill read 200 V.
  4. V1 and V2 will read 0 each.

Answer (Detailed Solution Below)

Option 2 : V1, will read 200V and V2 will read 300 V.
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Detailed Solution

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The correct answer is option 2):(V1, will read 200V and V2 will read 300 V.)

Concept:

Resistance of voltmeter = Sensitivity × Full-scale deflection reading

By using the voltage division rule,

The voltage applied across the resistor R1 is 

The voltage applied across the resistor R2 is 

Calculation:

Given

Sensitivity of V1 = S1 = 100 kΩ/V

Resistance of V1 = Rm1 = 100 × 300 = 30 MΩ

Sensitivity of V2 = S2 = 150 kΩ/V

Resistance of V2 = Rm2 =150 × 300 = 45 MΩ

By Voltage division rule

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