Question

Express the following phasors as signals (i.e. sinusoidal functions of time). Assume the frequency is ω rad/s.

a) 3e^(jpi/4)
b) 8j

Answer 1

To express phasors as sinusoidal functions of time, the phasor is converted into the form Ae^(jwt), where A is the magnitude and w is the angular frequency.

Step-by-step explanation:

To express the given phasors as sinusoidal functions of time, we need to convert them into the form Ae^(jwt), where A is the magnitude of the phasor and w is the angular frequency.

a) The phasor 3e^(jπ/4) can be expressed as 3(cos(π/4) + jsin(π/4)). Therefore, the corresponding sinusoidal function is 3cos(ωt + π/4).

b) The phasor 8j can be expressed as 0 + 8j. Therefore, the corresponding sinusoidal function is 8sin(ωt).