$1.$ Construct the circuit shown in Figure $\backslash (1$ b $\backslash )$ using the breadboard with jumper$-$wires. Make sure that the resistor is the last component closest to the ground end of the circuit.

$2.$ Turn on the signal generator and set the frequency to be approximately $250$ Hz sine wave $($note: $\backslash (\backslash$omega$=2\backslash$pi f $\backslash )).$

$3.$ As a first exercise, we will observe the voltage on the oscilloscope when the "two" sources are in phase with each other. Connect the leads from CH $1$ and CH $2$ of the oscilloscope to the LRC circuit as shown in Figure $3.$ This means that both channels will measure the voltage across R$.$

$4.$ Are the signals from CH $1$ and CH $2$ in phase with each other? Why is this the case? Sketch the signals in your report. $5.$ Change the display selector from $\backslash ($ y $\backslash )-$ to $\backslash ($ x $\backslash )-\backslash ($ y $\backslash ).$ If both $\backslash ($ x $\backslash )$ and $\backslash ($ y $\backslash )$ are in phase with each other $($they both reach their peaks and valleys at the same instant$),$ the oscilloscope should display a straight line inclined at an angle $(45$ degrees if both inputs have the same magnitude and calibration scale$).$ Verify this. Just as you directly observed the waveform in Procedure $6,$ this is another technique to check if the two signals are in phase with each other. This display is known as a Lissajous figure.

$6.$ Change the time base back to Y$-$T$.$ Disconnect CH$2$ from the circuit and connect it as shown in Figure $1\mathrm{.}4.$ In this position, CH $1$ is still measuring the voltage across the resistor $($VR$),$ but CH$2$ is now measuring the voltage across all three components $($VRLC$).$

$7.$ Are the two signals in phase with each other? Does $\backslash ($ V$\_\{$R L C$\}\backslash )$ lead or lag $\backslash ($ V$\_\{$R$\}\backslash ),$ and by how much?