00:01
Hello students, here we have a rlc circuit that has the parameters as here the inductor l equal to 5 .4 mh and the capacitance is 13uf and the frequency f equal to 775hz and the resistor r equal to 15 ohm and the rms voltage across the inductor vrms cross inductor equal to 15 .5v so first we have to calculate the rms voltage across the capacitor.
00:48
First rms voltage across capacitor.
01:03
For that we have to calculate the total impedance.
01:08
So we can write z equal to r plus j of xl minus xc.
01:16
So we can get xl equal to 2 pi f that is equal to 2 pi into 775 that is equal to 26 .82 ohm.
01:36
And we will get xc equal to 1 divided by 2 pi f that is equal to 1 divided by 2 into 3 .14 into 775 into the capacitance value that is 1 .3 into 10 power minus 6.
02:04
So we will get xc equal to 192 .16 ohm.
02:14
So finally we can write the impedance as z equal to 15 plus j 2682 minus 192 .16.
02:31
So we will get z equal to minus 177 .34 plus 16 .82 j ohm.
02:48
So from this we can calculate the current and the rms voltage across the capacitor.
02:56
So first we can calculate the current as i equal to vrms inductor divided by modulus of z.
03:10
So we will get 15 .5 divided by minus 17 .34 square plus 16 .82 square the whole square root that is equal to 0 .0882 ampere.
03:27
So we will get the vrms capacitor equal to ixc that is equal to 0 .0882 into 192 .16 that is equal to 16 .93 volt...