3-1 The current through a meter movement is 150 μApk What is the da value if the instrument uses half-wave rectification? 3-2 A d'Arsonval meter movement deflects to 0.8 mA. What is the peakm value of the alternating current if the instrument uses full-wave rectification? 3-3 A d'Arsonval meter movement with a full-scale deflection current rating of 1 mA and an internal resistance of 500 is to be used in a half-wave rectifier ac voltmeter. Calculate the ac and dc sensitivity and the value of the multiplier resistor for a 30-V rms range.

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3-1 to 3-5 and 3-9 to 3-12 please

LABORATORY EXPERIMENTS
E-150
R₁ - 392
R₂-22 k
FIGURE 3-28 Circuit for Problem 3-11.
sensitivity of 10 k/V, a guaranteed accuracy of 98% at full scale, and
is set on its 200-V range. Meter B has an ac sensitivity of 4 k2/V. a
guaranteed accuracy of 98.5% at full scale, and is set on its 100-V
range. Which meter will provide a more accurate result?
8-150
3-12 The ac voltmeter described below is used to measure the voltage
across the 68-k resistor in the circuit shown in Fig. 3-29. What is the
minimum voltage reading that should be observed? The ac voltmeter
has
. Full-wave rectification.
. 100-A meter movement.
. 150-V range.
. Limiting error of ±3% at full scale. (Refer to Chapter 1 for a
discussion of limiting error.)
83
R₁ - 51 k
R₂68 2
FIGURE 3-29 Circuit for Problem 3-12.
Transcribed Image Text:LABORATORY EXPERIMENTS E-150 R₁ - 392 R₂-22 k FIGURE 3-28 Circuit for Problem 3-11. sensitivity of 10 k/V, a guaranteed accuracy of 98% at full scale, and is set on its 200-V range. Meter B has an ac sensitivity of 4 k2/V. a guaranteed accuracy of 98.5% at full scale, and is set on its 100-V range. Which meter will provide a more accurate result? 8-150 3-12 The ac voltmeter described below is used to measure the voltage across the 68-k resistor in the circuit shown in Fig. 3-29. What is the minimum voltage reading that should be observed? The ac voltmeter has . Full-wave rectification. . 100-A meter movement. . 150-V range. . Limiting error of ±3% at full scale. (Refer to Chapter 1 for a discussion of limiting error.) 83 R₁ - 51 k R₂68 2 FIGURE 3-29 Circuit for Problem 3-12.
a magnetic field developed by the
current being measured.
Rectify: To convert alternating current to a unidirectional current by remov-
ing or inverting the part of the waveform on one side of the zero-amplitude
axis.
RMS v: Root-mean-square.
Sinusoidal: Having the form of a sine wave.
Square-law meter scale: The scale required for a meter movement, such as
the iron-vane movement, for which the repelling force, and hence the pointer.
deflection, is proportional to the square of the current.
PROBLEMS
3-4
3-5
3-6
3-7
81
A d'Arsonval meter movement with a full-scale deflection current.
rating of 200 μA and an internal resistance of 500 2 is to be used in
an ac voltmeter using full-wave rectification. Calculate the value of the
multiplier resistor for a 50-V peak-to-peak sine-wave range.
Calculate the ac and dc sensitivity and the value of the multiplier
resistor required to limit current to the full-scale deflection current in
the circuit shown in Fig. 3-23.
E- 20 V
www
R₂
E = 20 V
R-3000
Ro1 = 300 2 R250 2
FIGURE 3-23 Circuit for Problem 3-5.
Calculate the ac and dc sensitivity and the value of the multiplier
resistor required to limit current to the full-scale deflection current in
the circuit shown in Fig. 3-24. All diodes have a forward resistance of
3002 and an infinite reverse resistance.
R250 2
10
FIGURE 3-24 Circuit for Problem 3-6.
Figure 3-25 represents a meter face for an ac voltmeter with full-wave
rectification. Compute the values of the peak-to-peak voltage and the
Es 25
1 MA
-2502
Epp
FIGURE 3-25 Meter scale for Problem 3-7.
½-1 MA
8-250 12
82
1
1
3-1
3-2
The current through a meter movement is 150 μApask. What is the do
value if the instrument uses half-wave rectification?
A d'Arsonval meter movement deflects to 0.8 mA. What is the peak)
value of the alternating current if the instrument uses full-wave.
rectification?
3-3 A d'Arsonval meter movement with a full-scale deflection current
rating of 1 mA and an internal resistance of 500 2 is to be used in a
half-wave rectifier ac voltmeter. Calculate the ac and de sensitivity and
the value of the multiplier resistor for a 30-V rms range.
3-8
CHAPTER 3 ALTERNATING-CURRENT METERS
dc voltage and current for the rms voltages shown if the de sensitivity
of the meter movement is 10 k2/V. Sketch the meter face and fill in
the blanks..
Calculate the dc sensitivity and the value of the multiplier resistor
required to limit current to the full-scale deflection current in the
circuit shown in Fig. 3-26.
E 10 V
eee
R = 0.5
18-20 V
p
FIGURE 3-26 Circuit for Problem 3-8.
3-9 An rms ac voltmeter and a peak-to-peak-reading ac voltmeter are to
be used to determine whether three ac signals are sinusoidal. Deter-
mine whether the signals are sinusoidal if the following readings are
obtained
First signal
Second signal
Third signal
50 mA, R-10
R-0.50
peak-to-peak reading = 35.26 V
rms reading
- 12.00 V
peak-to-peak reading-11.31 V
rms reading.
= 4.00 V
peak-to-peak reading = 25.00 V
rms reading
-8.83 V
3-10 An ac voltmeter is to be used to measure the rms voltage across the
15-k resistor in the circuit shown in Fig. 3-27. If the voltmeter uses"
half-wave rectification and a 100-A d'Arsonval meter movement, if it
is set on its 10-V range, and if R-1.5 k2, what reading will be
obtained?
R₁-25 kn
R₂-15 k
FIGURE 3-27 Circuit for Problem 3-10.
3-11 Two different ac voltmeters are used to measure the voltage across the
22-k2 resistor in the circuit shown in Fig. 3-28. Meter A has ac
Transcribed Image Text:a magnetic field developed by the current being measured. Rectify: To convert alternating current to a unidirectional current by remov- ing or inverting the part of the waveform on one side of the zero-amplitude axis. RMS v: Root-mean-square. Sinusoidal: Having the form of a sine wave. Square-law meter scale: The scale required for a meter movement, such as the iron-vane movement, for which the repelling force, and hence the pointer. deflection, is proportional to the square of the current. PROBLEMS 3-4 3-5 3-6 3-7 81 A d'Arsonval meter movement with a full-scale deflection current. rating of 200 μA and an internal resistance of 500 2 is to be used in an ac voltmeter using full-wave rectification. Calculate the value of the multiplier resistor for a 50-V peak-to-peak sine-wave range. Calculate the ac and dc sensitivity and the value of the multiplier resistor required to limit current to the full-scale deflection current in the circuit shown in Fig. 3-23. E- 20 V www R₂ E = 20 V R-3000 Ro1 = 300 2 R250 2 FIGURE 3-23 Circuit for Problem 3-5. Calculate the ac and dc sensitivity and the value of the multiplier resistor required to limit current to the full-scale deflection current in the circuit shown in Fig. 3-24. All diodes have a forward resistance of 3002 and an infinite reverse resistance. R250 2 10 FIGURE 3-24 Circuit for Problem 3-6. Figure 3-25 represents a meter face for an ac voltmeter with full-wave rectification. Compute the values of the peak-to-peak voltage and the Es 25 1 MA -2502 Epp FIGURE 3-25 Meter scale for Problem 3-7. ½-1 MA 8-250 12 82 1 1 3-1 3-2 The current through a meter movement is 150 μApask. What is the do value if the instrument uses half-wave rectification? A d'Arsonval meter movement deflects to 0.8 mA. What is the peak) value of the alternating current if the instrument uses full-wave. rectification? 3-3 A d'Arsonval meter movement with a full-scale deflection current rating of 1 mA and an internal resistance of 500 2 is to be used in a half-wave rectifier ac voltmeter. Calculate the ac and de sensitivity and the value of the multiplier resistor for a 30-V rms range. 3-8 CHAPTER 3 ALTERNATING-CURRENT METERS dc voltage and current for the rms voltages shown if the de sensitivity of the meter movement is 10 k2/V. Sketch the meter face and fill in the blanks.. Calculate the dc sensitivity and the value of the multiplier resistor required to limit current to the full-scale deflection current in the circuit shown in Fig. 3-26. E 10 V eee R = 0.5 18-20 V p FIGURE 3-26 Circuit for Problem 3-8. 3-9 An rms ac voltmeter and a peak-to-peak-reading ac voltmeter are to be used to determine whether three ac signals are sinusoidal. Deter- mine whether the signals are sinusoidal if the following readings are obtained First signal Second signal Third signal 50 mA, R-10 R-0.50 peak-to-peak reading = 35.26 V rms reading - 12.00 V peak-to-peak reading-11.31 V rms reading. = 4.00 V peak-to-peak reading = 25.00 V rms reading -8.83 V 3-10 An ac voltmeter is to be used to measure the rms voltage across the 15-k resistor in the circuit shown in Fig. 3-27. If the voltmeter uses" half-wave rectification and a 100-A d'Arsonval meter movement, if it is set on its 10-V range, and if R-1.5 k2, what reading will be obtained? R₁-25 kn R₂-15 k FIGURE 3-27 Circuit for Problem 3-10. 3-11 Two different ac voltmeters are used to measure the voltage across the 22-k2 resistor in the circuit shown in Fig. 3-28. Meter A has ac
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