00:01
Determine the total impedance phase angle and rms current, the lrc current, the lrc circuit connected to a 10 khz, 725 -hold source if l equals 32mh, r equals 8 .7 oms, and c equals 6250 p .f.
00:18
A lot of information here.
00:20
So to get the total impedance z for the circuit, we'll use the formula z equals the square root of r squared plus the difference of z -l and zc.
00:31
Or zl and xc, excuse me, squared.
00:35
Where r is a resistance, xl is a reactance of the inductor expressed as xl equals 2 pi fl, and xc is the reactance of the capacitor, xc, which is 1 over 2 pi fc.
00:54
F is frequency, l is the inducted, c is the capacitance.
00:58
So with substitutions, we'll have z equals the square root of, of r squared plus 2 pi fl minus 1 over 2 pi fc squared.
01:20
And now with substitutions, this would equal 8 .7 times 10 to the third squared plus 2 pi f times l, which is 32 times 10 to the negative third.
01:55
And run away out of space here.
01:59
And then i'm going to continue this minus 1 over 2 pi fc, which is 62, 50 times 10 of the negative 12.
02:21
Not squared.
02:23
But this difference squared.
02:30
Yikes.
02:32
So here we go...