If we have this ideal transformer with voltage source that produces sinusoidal output voltage$230$ V and frequency is $50$ Hz$.$ Voltage source has internal resistance $40$ Ohms. Transformer ratio is $2$:$1.$

a$)$ The load resistance chosen on the secondary side is $20$ Ohms. What is the voltage across the resistor U$2($R$2)?$

b$)$ In the secondary circuit the L$2=100$mH is added in series with resistor R$2.$ In the primary circuit a capacitor Co $=100$uF is added. Determine transformation ratio.

c$)$ Let capacitance be variable Co$.$ The resistance in the secondary circuit is still $20$ Ohms. Determine the capacitance C$0$ and corresponding ratio with complete$/$total power matching and calculate real power P dissipated in the resistor R$2$ in this case.