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Problem 6.15PP
A DC voltmeter schematic is shown in Fig. The pointer is damped so that its maximum overshoot 
to a step input is 10%.
(a) What is the undamped natural frequency of the system?
(b) What is the damped natural frequency of the system?
(c) Plot the frequency response using Matlab to determine what input frequency will produce the 
largest magnitude output?
(d) Suppose this meter is now used to measure a 1-V AC input with a frequency of 2 rad/sec.
W h flt am n litiiH p w ill th p m p tp r in r iin p tp pftpr in itip l trp n p ip n tp h p v p HIpH n u t ? W h p t i.yJ
Take differentiate with respect to a>. 
deo *
(10)
.(11)
When d \ n j ) ' + 0.37288y®+0.0998
Write the Matlab program and draw the bode plot. 
bode(tf([0.1],[1 0.37288 0.0998]))
The output of the Matlab program is given in Figure 2.
BodeDiagnm
Step 6 of 7
5 peak frequency is [Q.173rad/se^
Step 7 of 7
(d)
With 2rad/secfrom Figure 2, the amplitude and phase angle are 0.0256radand —1