Sheet 2
1. A 1mA meter movement with an internal resistance of 100Ω is to be converted
into a 0 – 100mA. Calculate the value of shunt resistance required.
2. Design an Aryton shunt to provide an ammeter with current ranges 0 – 10mA,
100mA and 500mA using a D’Arsonval movement having an internal resistance of
50Ω and full scale deflections of 1mA.
3. An ammeter that has an internal resistance of 78Ω is used to measure the current
through resistor Rc. Determine the percentage of error of the reading due to ammeter
insertion.
Ra = 1 k
E=3V Rb = 1 k Rc =1 k
4. A basic D’Arsonval movement with a full scale deflection of 50μA and internal
resistance of 500Ω is used as a voltmeter. Determine the value of the multiplier
resistance needed to measure a voltage range 0-10V.
5. Calculate the value of multiplier resistance for the multiple range DC voltmeter
circuit as shown in figure below. Given Rm =1kΩ and Ifs = 50μA
R1
3v
10 v
R2
S
+ 30 v
R3
Im Rm
-
6. In the circuit below, two voltmeters are be used to measure the voltage across
resistor RB
RA
E
RB
Meter A: S=1kΩ/V, range =10V
Meter B: S=20kΩ/V, range =10V
a) Calculate voltage across resistor RB without any voltmeter is connected.
b) Calculate voltage across resistor RB with voltmeter A is used.
c) Calculate voltage across resistor RB with voltmeter B is used.
d) Determine the percentage of error of the reading of each voltmeter due to
voltmeter insertion.
7. In the circuit below, what is the value Rx if the meter reads half-scale?
Rm =2 k
Rz = 4.6 k Ifs =50 A
Rsh = 500
R = 1 k
E = 1.5 V Rx