Descrição: Tutorials in Introductory Physics Velocity
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Tutorial 3
Problem 1 An ac voltmeter uses a full-wave bridge rectifier with silicon diodes and a PMMC instrument with FSD = 75 µA. If the meter coil resistance is 900 Ω and the multiplier resistor is 780 k Ω, calculate the applied applied rms rms voltage voltage when when the voltme voltmeter ter indicate indicatess FSD. Each diode has a forward-bias resistance resist ance of 200 Ω. Ans: 65 V #
Problem 2 A PMMC instrument with 900 Ω coil resistance and an FSD of 75 µA is to be used with a half-wave rectifier circuit as an ac voltmeter. Silicon diodes are used and the minimum diode forward current is to be 80 µA when the instrument indicates 0.25 FSD. Calculate the shunt and multiplier resistance values requir required ed to to give give 200 Vrms Vrms FSD. FSD. Ans: Rsh = 2.52 k Ω Rs = 881.9k Ω #
Problem 3 A PMMC instrument with internal resistance of 250 an FSD of 1 mA mA is to be be used with a full-wave full-wave Ω and an rectifier circuit as an ac voltmeter. Forward-bias resistance of each diode is 50 Ω. Calculate (i) (i)
mult multip ipli lier er re resi sist stan ance ce valu valuee re requ quir ired ed 25 Vrms Vrms
(ii) (ii) sens sensit itiv ivit ity y of the the volt voltme mete ter. r.
Ans: (i)
22.16kΩ
(ii) 914.4Ω /V #
Problem 4 Figure below shows a commercial ac voltmeter using a PMMC instrument. The PMMC instrument has 100 Ω coil resistance and an FSD of 1 mA. Shunt resistor is given as 200 Ω, while forward-bias resistance of each diode is 200 Ω. (i) (ii) (ii) (iii (iii))
Expla plain th the fu functio tion of of sh shunt re resisto istorr an and dio diod de D2 D2. Calc Calcul ulat atee the the val value uess of R1, R1, R2 R2 and and R3 R3 for for mea measu sure reme ment nt ran range gess of 10 V, V, 50 V and 100 V. Calc Calcul ulat atee the the sens sensit itiv ivit ity y of the the volt voltme mete ter. r.
Ans: (ii)
(iii)
For 10Vrms range R1 = 2733.33Ω For 50Vrms range, R2 = 12006.67k Ω For 100Vrms range, R3 = 15006.66k Ω 300.13Ω /V