Question

2. Based on the calculated phase angles Peneos, or Pexp in Table 2, draw a phasor diagram for each of the two frequencies: f = 1000 Hz and 8000 Hz, and complete the following two statements. (a) At f = 8000_Hz, the voltage (1) across the signal generator leads the current (i). (b) At f = 1000 Hz, the voltage (1) across the signal generator lags the current (i). thers

How do you draw the phasor diagram?

L=3.3 mH

C=0.39 uF

R=100 ohms

in case you need it in order to see table 2 work

Answer 1

When X_L > X_C, the phase angle ϕ is positive. The circuit behaves as RL series circuit in which the current lags behind the applied voltage

When X_L < X_C, the phase angle ϕ is negative, and the circuit acts as a series RC circuit in which the current leads the voltage

When X_L = X_C, the phase angle ϕ is zero.

For f=1000 Hz, and phase came out to be negative, i.e. -1.319 radian. Thus, Current leads the voltage by this angle.

The phasor would then look as:

Current losin(wt) 2 4 6 8 10 12 114 6 18 20 22 24 26 28 Voltage Vosin(wt-1.319)

For f=8000Hz, the phase is positive 0.804radians, and hence the current lags behind the voltage. The phasor would be:

Voltage Vosin(wt+0.804) 05 2 4 8 10 12 14 116 8 20 -0.5 -1 current losin(wt)

For f=f_res, the current and voltage would not have any lag.