:This circuit has 3 nodes, labeled X, Y, and Z . The voltage source V is an AC source, but to solve these types of problems it's much easier to " pretend " as if the voltage drops as you go from X, Y and back to Z . In nodal analysis, pick one of the nodes to be your reference node, and for simplicity, you define this node as having 0 volts.
22.
:For good measure, for an inductor, the conductance is 1 / ( j & omega; L ) and its impedance is j & omega; L . So, to do nodal analysis whenever you are working with a circuit in the frequency domain, just replace all capacitances in your circuit with 1 / ( j & omega; C ) and all inductances with j & omega; L . Then you just do nodal analysis with these values.
23.
:For good measure, for an inductor, the conductance is 1 / ( j & omega; L ) and its impedance is j & omega; L . So, to do nodal analysis whenever you are working with a circuit in the frequency domain, just replace all capacitances in your circuit with 1 / ( j & omega; C ) and all inductances with j & omega; L . Then you just do nodal analysis with these values.
