Problem $\backslash$#$3$

A controlled half$-$wave rectifier has a series resistance, inductance, and dc voltage source with $\backslash (\backslash$mathrm$\{$R$\}=\backslash )\backslash (2\backslash$Omega$,\backslash$mathrm$\{$~L$\}=75\backslash$mathrm$\{$mH$\}\backslash ),$ and $\backslash (\backslash$mathrm$\{$Vdc$\}=48\backslash$mathrm$\{$~V$\}\backslash ).$ The source is $120$ V rms at $60$ Hz $.$ The delay angle is $50.$ Determine $($a$)$ an expression for load current, $($b$)$ the power absorbed by the dc voltage source, and $($c$)$ the power absorbed by the resistor