The phase angle between two sine waves can be determined from the Lissajous plot of these two waveforms when the oscillloscope is set to X-Y mode. The phase angle θ = sin-1(A/B) where A and B are defined in the diagram below.

Determine the phase angle (in degrees) using the Lissajous plot on the oscilloscope screen below.

DO NOT INCLUDE YOUR UNITS IN THE ANSWER AS THIS QUIZ QUESTION GRADES ONLY NUMERICAL VALUES.

The oscilloscope settings are as follows:

CH1: 5 Volts / DIV

CH2: 5 Volts / DIV

Match the reactance of the component with its behaviour as the source frequency is increased.

Z_C - impedance of capacitor

Z_L - impedance of inductor

Z_R - impedance of resistor

Determine the phase angle (in degrees) between the two sine waves displayed on the oscilloscope screen below.

DO NOT INCLUDE YOUR UNITS IN THE ANSWER AS THIS QUIZ QUESTION GRADES ONLY NUMERICAL VALUES.

The oscilloscope settings are as follows:

CH1: 5 Volts / DIV

CH2: 5 Volts / DIV

Time/DIV: 0.2 ms / DIV

Calculate the frequency (in Hz) at which series resonance occurs for the circuit shown below. 

DO NOT INCLUDE YOUR UNITS IN THE ANSWER AS THIS QUIZ QUESTION GRADES ONLY NUMERICAL VALUES.

The resonance of a series RLC circuit occurs when the inductive and capacitive reactances are equal in magnitude. These reactances therefore cancel each other because they are 180 degrees apart in phase. The cancelling of the reactances of L and C causes the RLC circuit to behave like a simple resistor of the magnitude of its R value. The circuit impedance is lowest at the resonant frequency and hence the current flow through the device is maximized at resonance.