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Problems 1. Determine the full-scale voltage indicated by a 500-μA meter move- ment with an internal resistance of 250 , if no multiplier is used.

Problems 1. Determine the full-scale voltage indicated by a 500-μA meter move- ment with an internal resistance of 250 , if no multiplier is used.

Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter30: Dc Motors
Section: Chapter Questions
Problem 6RQ: What is CEMF?
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%47 الله 2_543370346422600284... 90 DC INDICATING INSTRUMENTS Problems 1. Determine the full-scale voltage indicated by a 500-μA meter move- ment with an internal resistance of 250 , if no multiplier is used. 2. Design a multirange dc ammeter with ranges of 0-10 mA, 0-50 mA, 0-100 mA, and 0-500 mA. A basic d'Arsonval movement is used with an internal resistance Rm 50 and a full-scale deflection current Id 1 mA. (a) Calculate the values of the required shunts. (b) Draw the com- plete circuit diagram. = == 3. A simple shunted dc ammeter, using a basic meter movement with an internal resistance, Rm 1,800 , and a full-scale deflection current, Irsd 100 μA, is connected into a circuit and gives a reading of 3.5 mA on its 5-mA range. This reading is checked by a recently calibrated dc ammeter which gives a reading of 4.1 mA. The implication is that the first ammeter has a faulty shunt on its 5-mA range. Calculate (a) the actual value of the faulty shunt; (b) the correct shunt for the 5-mA range. 4. Design an Ayrton shunt for a meter movement with internal resist- ance Rm 2,500 and full-scale deflection current Isd = 50 μA to provide current ranges of 50 μA, 100 μA, 500 μA, 10 mA, and 100 mA. (a) Calculate the resistances of the Ayrton shunt components. (b) Draw the schematic diagram, including the switching arrangement, for this multirange dc ammeter. 5. It is desired to convert a 50-μA dc movement with internal resistance of 1,000 to a 0-2,500-V dc voltmeter. Calculate (a) the resistance of the multiplier; (b) the sensitivity of the instrument. 6. An existing 0-200-V dc voltmeter has a sensitivity of 1,000 /V. Determine the value of additional series resistance required to convert this voltmeter to an instrument with a range of 0-1,000 V dc. 7. Design a multirange voltmeter with ranges of 0-5 V, 0-10 V, 0-50 V, and 0-100 V, using a 50-µA movement with internal resistance of 1,500 . Calculate (a) the values of the multipliers; (b) the sensitivity of the instrument. Draw the circuit diagram of the completed design. 8. A dc microammeter with an internal resistance of 250 2 and a full-scale deflection current of 500 µA indicates a current of 300 μA when connect- ed into a circuit consisting of a 1.5-V dry cell and an unknown resistance. Determine the value of the unknown resistance. 9. Design a series-type ohmmeter, similar to the circuit of Fig. 4-22. The movement to be used requires 0.5 mA for full-scale deflection and has an internal resistance of 50 2. The internal battery has a voltage of 3.0 V. CHẠP. và PROBLEMS The desired value of half-scale resistance is 3,000 . Calculate (a) the value of resistors R, and R,; (b) the range of values of R,, if the battery voltage may vary from 2.7 V to 3.1 V. Use the value of R, as calculated in (a). 10. A series-type ohmmeter, designed to operate with a 6-V battery, has a circuit diagram as shown in Fig. 4-22. The meter movement has an internal resistance of 2,000 N and requires a current of 100 μA for full- scale deflection. The value of resistor R, is 49 k. (a) Assuming that the battery voltage has fallen to 5.9 V, calculate the value of R, required to zero the ohmmeter. (b) Under the conditions :nentioned in (a), an un- known resistor R, is connected to the meter, causing a 60 per cent meter deflection. Calculate the value of the unknown resistor R₂. 11. The movement of the multirange voltmeter in Fig. 4-17 has a full- le current of 50 µA and an internal resistance of 2,000 N. The full- meter reading is 150 V with the range swit set in position V₁, ith the switch in position V₂, 10 V with the switch in position V₁, V with the switch in position V. Calculate (a) the resistance of the pliers R₁, R₂, R., and R₁; (b) the sensitivity of the voltmeter. 14. A dc voltmeter is rated with a sensitivity of 10 kn/V and is used on its 0--150-V range to measure the voltage across the 100-k resistor in Fig. 4-18. Determine the percentage error of the meter indication. 13. Design a volt-ohm-milliammeter with the following characteristics: (a) Voltage ranges: 0-5, 0-25, 0-100, and, 0-500 V dc. (b) Current ranges: 0-10, 0-100, 0-500, and 0-1,000 mA dc. (c) Resistance ranges: 20.0 2.000.0 and 200 k.Q. at half scale. GHT. I 91 ۱۱:۱۷ →
Transcribed Image Text:%47 الله 2_543370346422600284... 90 DC INDICATING INSTRUMENTS Problems 1. Determine the full-scale voltage indicated by a 500-μA meter move- ment with an internal resistance of 250 , if no multiplier is used. 2. Design a multirange dc ammeter with ranges of 0-10 mA, 0-50 mA, 0-100 mA, and 0-500 mA. A basic d'Arsonval movement is used with an internal resistance Rm 50 and a full-scale deflection current Id 1 mA. (a) Calculate the values of the required shunts. (b) Draw the com- plete circuit diagram. = == 3. A simple shunted dc ammeter, using a basic meter movement with an internal resistance, Rm 1,800 , and a full-scale deflection current, Irsd 100 μA, is connected into a circuit and gives a reading of 3.5 mA on its 5-mA range. This reading is checked by a recently calibrated dc ammeter which gives a reading of 4.1 mA. The implication is that the first ammeter has a faulty shunt on its 5-mA range. Calculate (a) the actual value of the faulty shunt; (b) the correct shunt for the 5-mA range. 4. Design an Ayrton shunt for a meter movement with internal resist- ance Rm 2,500 and full-scale deflection current Isd = 50 μA to provide current ranges of 50 μA, 100 μA, 500 μA, 10 mA, and 100 mA. (a) Calculate the resistances of the Ayrton shunt components. (b) Draw the schematic diagram, including the switching arrangement, for this multirange dc ammeter. 5. It is desired to convert a 50-μA dc movement with internal resistance of 1,000 to a 0-2,500-V dc voltmeter. Calculate (a) the resistance of the multiplier; (b) the sensitivity of the instrument. 6. An existing 0-200-V dc voltmeter has a sensitivity of 1,000 /V. Determine the value of additional series resistance required to convert this voltmeter to an instrument with a range of 0-1,000 V dc. 7. Design a multirange voltmeter with ranges of 0-5 V, 0-10 V, 0-50 V, and 0-100 V, using a 50-µA movement with internal resistance of 1,500 . Calculate (a) the values of the multipliers; (b) the sensitivity of the instrument. Draw the circuit diagram of the completed design. 8. A dc microammeter with an internal resistance of 250 2 and a full-scale deflection current of 500 µA indicates a current of 300 μA when connect- ed into a circuit consisting of a 1.5-V dry cell and an unknown resistance. Determine the value of the unknown resistance. 9. Design a series-type ohmmeter, similar to the circuit of Fig. 4-22. The movement to be used requires 0.5 mA for full-scale deflection and has an internal resistance of 50 2. The internal battery has a voltage of 3.0 V. CHẠP. và PROBLEMS The desired value of half-scale resistance is 3,000 . Calculate (a) the value of resistors R, and R,; (b) the range of values of R,, if the battery voltage may vary from 2.7 V to 3.1 V. Use the value of R, as calculated in (a). 10. A series-type ohmmeter, designed to operate with a 6-V battery, has a circuit diagram as shown in Fig. 4-22. The meter movement has an internal resistance of 2,000 N and requires a current of 100 μA for full- scale deflection. The value of resistor R, is 49 k. (a) Assuming that the battery voltage has fallen to 5.9 V, calculate the value of R, required to zero the ohmmeter. (b) Under the conditions :nentioned in (a), an un- known resistor R, is connected to the meter, causing a 60 per cent meter deflection. Calculate the value of the unknown resistor R₂. 11. The movement of the multirange voltmeter in Fig. 4-17 has a full- le current of 50 µA and an internal resistance of 2,000 N. The full- meter reading is 150 V with the range swit set in position V₁, ith the switch in position V₂, 10 V with the switch in position V₁, V with the switch in position V. Calculate (a) the resistance of the pliers R₁, R₂, R., and R₁; (b) the sensitivity of the voltmeter. 14. A dc voltmeter is rated with a sensitivity of 10 kn/V and is used on its 0--150-V range to measure the voltage across the 100-k resistor in Fig. 4-18. Determine the percentage error of the meter indication. 13. Design a volt-ohm-milliammeter with the following characteristics: (a) Voltage ranges: 0-5, 0-25, 0-100, and, 0-500 V dc. (b) Current ranges: 0-10, 0-100, 0-500, and 0-1,000 mA dc. (c) Resistance ranges: 20.0 2.000.0 and 200 k.Q. at half scale. GHT. I 91 ۱۱:۱۷ →
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