Gday everyone,

I need a bit of assistance with a math problem.

If I have a 4.9uF Capacitor used in parallel across an Inductive circuit to improve the power factor on a 230v 50Hz circuit.

If I then Inject a 1050Hz signal into this circuit how much current will the Capacitor see.

I have so far:

The Current through the Capacitor for the 50Hz signal is:

Xc= 1/ 2*pi*f*C

= 1/ 6.28*50*.0000049

= 1/.00154

=649.3 Ohms

Ic= Vc/Xc

= 230/649.3

= .354A

Now for the 1050Hz signal I get

Ic = 7.43A

Do I now just add these two together so I get

7.43A + .354A = 7.784A ?

I tried to check this with LTspice but I only get 7.43A at the Capacitor & not the sum of the two currents together. So now I am a bit confused as always?

Cheers

I need a bit of assistance with a math problem.

If I have a 4.9uF Capacitor used in parallel across an Inductive circuit to improve the power factor on a 230v 50Hz circuit.

If I then Inject a 1050Hz signal into this circuit how much current will the Capacitor see.

I have so far:

The Current through the Capacitor for the 50Hz signal is:

Xc= 1/ 2*pi*f*C

= 1/ 6.28*50*.0000049

= 1/.00154

=649.3 Ohms

Ic= Vc/Xc

= 230/649.3

= .354A

Now for the 1050Hz signal I get

Ic = 7.43A

Do I now just add these two together so I get

7.43A + .354A = 7.784A ?

I tried to check this with LTspice but I only get 7.43A at the Capacitor & not the sum of the two currents together. So now I am a bit confused as always?

Cheers

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