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A voltmeter having internal resistance of 100 ohm measures the voltage directly upto 10mV find the series multiply resistance require and the full scale and Sv for the voltage measurement of (a)100mV (b) 1V (c)10V?
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A voltmeter having internal resistance of 100 ohm measures the voltage...
Understanding Series Multiplier Resistance
To measure voltages beyond the maximum range of a voltmeter, a series multiplier resistance is added. This allows for accurate readings by scaling down larger voltages to the voltmeter’s measurable range.
Internal Resistance of the Voltmeter
- The internal resistance of the voltmeter is 100 ohms.
- The maximum voltage it can measure directly is 10 mV.
Calculating Series Multiplier Resistance
- The series multiplier resistance (R_m) can be calculated using the formula:
R_m = (V_max / V_read) * R_internal - R_internal
where V_max is the desired maximum voltage and V_read is the maximum voltage the voltmeter can read (10 mV).
Required Series Multiply Resistance and Full Scale Voltage
1. For 100 mV:
- V_max = 100 mV
- R_m = (100 mV / 10 mV) * 100 ohms - 100 ohms
- R_m = 100 ohms
- Full Scale Voltage (FSV): 100 mV
2. For 1 V:
- V_max = 1000 mV
- R_m = (1000 mV / 10 mV) * 100 ohms - 100 ohms
- R_m = 900 ohms
- Full Scale Voltage (FSV): 1 V
3. For 10 V:
- V_max = 10,000 mV
- R_m = (10,000 mV / 10 mV) * 100 ohms - 100 ohms
- R_m = 9,900 ohms
- Full Scale Voltage (FSV): 10 V
Summary of Series Multiply Resistance
- 100 mV requires a multiplier of 100 ohms.
- 1 V requires a multiplier of 900 ohms.
- 10 V requires a multiplier of 9,900 ohms.
This method ensures that the voltmeter can accurately measure the desired voltage by scaling appropriately with series resistance.
To measure voltages beyond the maximum range of a voltmeter, a series multiplier resistance is added. This allows for accurate readings by scaling down larger voltages to the voltmeter’s measurable range.
Internal Resistance of the Voltmeter
- The internal resistance of the voltmeter is 100 ohms.
- The maximum voltage it can measure directly is 10 mV.
Calculating Series Multiplier Resistance
- The series multiplier resistance (R_m) can be calculated using the formula:
R_m = (V_max / V_read) * R_internal - R_internal
where V_max is the desired maximum voltage and V_read is the maximum voltage the voltmeter can read (10 mV).
Required Series Multiply Resistance and Full Scale Voltage
1. For 100 mV:
- V_max = 100 mV
- R_m = (100 mV / 10 mV) * 100 ohms - 100 ohms
- R_m = 100 ohms
- Full Scale Voltage (FSV): 100 mV
2. For 1 V:
- V_max = 1000 mV
- R_m = (1000 mV / 10 mV) * 100 ohms - 100 ohms
- R_m = 900 ohms
- Full Scale Voltage (FSV): 1 V
3. For 10 V:
- V_max = 10,000 mV
- R_m = (10,000 mV / 10 mV) * 100 ohms - 100 ohms
- R_m = 9,900 ohms
- Full Scale Voltage (FSV): 10 V
Summary of Series Multiply Resistance
- 100 mV requires a multiplier of 100 ohms.
- 1 V requires a multiplier of 900 ohms.
- 10 V requires a multiplier of 9,900 ohms.
This method ensures that the voltmeter can accurately measure the desired voltage by scaling appropriately with series resistance.
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A voltmeter having internal resistance of 100 ohm measures the voltage directly upto 10mV find the series multiply resistance require and the full scale and Sv for the voltage measurement of (a)100mV (b) 1V (c)10V?
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A voltmeter having internal resistance of 100 ohm measures the voltage directly upto 10mV find the series multiply resistance require and the full scale and Sv for the voltage measurement of (a)100mV (b) 1V (c)10V? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A voltmeter having internal resistance of 100 ohm measures the voltage directly upto 10mV find the series multiply resistance require and the full scale and Sv for the voltage measurement of (a)100mV (b) 1V (c)10V? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A voltmeter having internal resistance of 100 ohm measures the voltage directly upto 10mV find the series multiply resistance require and the full scale and Sv for the voltage measurement of (a)100mV (b) 1V (c)10V?.
A voltmeter having internal resistance of 100 ohm measures the voltage directly upto 10mV find the series multiply resistance require and the full scale and Sv for the voltage measurement of (a)100mV (b) 1V (c)10V? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A voltmeter having internal resistance of 100 ohm measures the voltage directly upto 10mV find the series multiply resistance require and the full scale and Sv for the voltage measurement of (a)100mV (b) 1V (c)10V? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A voltmeter having internal resistance of 100 ohm measures the voltage directly upto 10mV find the series multiply resistance require and the full scale and Sv for the voltage measurement of (a)100mV (b) 1V (c)10V?.
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