GENE 123 – Tutorial # 8

Problem #1

Consider the sinusoidal voltage

( ) ( )

a) What is the maximum amplitude of the voltage?

b) What is the frequency in hertz?

c) What is the frequency in radians per second?

d) What is the phase angle in radians?

e) What is the phase angle in degrees?

f) What is the period in milliseconds?

g) What is the first time after t=0 that v=170 V?

h) The sinusoidal function is shifted 125/18 ms to the right

along the time axis. What is the expression for v(t)?

i) What is the minimum number of milliseconds that the

function must be shifted to the right if the expression for

v(t) is ?

Problem #2

For the following pairs of sinusoids, determine which one

leads and by how much.

a) ( ) ( ) ( ) ( )

b) ( ) ( ) ( ) ( )

a) ( ) ( ) ( )

Problem #3:

Transform the following sinusoids to phasors:

a) ( ) b) ( )

c)

Problem #4:

Use the concept of the phasor to combine the following

sinusoidal functions into a single trigonometric expression:

a) ( ) ( )

b) ( ) ( )

c) ( ) ( )

( )

d) ( ) ( )

( )

Problem #5

The expressions for the steady-state voltage and current at

the terminals of the circuit seen in Fig.1 are:

( )

( )

a) What is the impedance seen by the source?

b) By how many microseconds is the current out of phase

with the voltage?

ACvg

ig

circuit

Fig.1

Problem #6

At ῳ=50 rad/s, determine Zin for each of the circuits in

Fig.2.

Fig.2