The bridge circuit in Figure P8-40 is operating in the sinusoidal steady state. (a) Find the Thvenin

The bridge circuit in Figure P8-40 is operating in the sinusoidal steady state.

(a) Find the Thévenin equivalent circuit seen by \(Z_{\mathrm{X}}\).

(b) Is the bridge balanced, that is, \(\mathbf{V}_{\mathrm{X}}=0\) ?

(c) Suppose \(Z_{\mathrm{X}}\) was a 20- \(\Omega\) resistor. How much power would be dissipated in it?