Determine the numerical value of the current through the capacitor by whatever method you prefer.
Nodal analysis is pleasant enough. Mesh analysis is also not too bad...
Ground the bottom node.
Multiplying through by j20 yields:
Thus the current through the capacitor is:
Multiplying the second equation by 2 and
Thus the current in the first mesh is zero; from equation 2:
The current through the capacitor is I1 - I2, so
Very interesting! There is no current flow through the 10 V source??? It's very happy though...
If you are a Thevenin enthusiast, then your generator should consist of a voltage source of 5.94 V \/ 16.8 deg and an impedance of 1.86 ohm \/ 68.2 deg. Full speed ahead...
Thanks go to Chris Lane (Fall 1999) for pointing out
an important typographical error in the original solution.
Last updated October 27, 1999.
Copyright George Watson, Univ. of Delaware, 1998.