Consider the circuit below and do the following,

$($i$)$ Find the current supplied by the source $i(t)$

$($ii$)$ Find the voltage across the resistors and the inductor

$($iii$)$ Determine the following.

a$)$ RMS value of source voltage

b$)$ RMS value of source current

c$)$ Average power supplied by the source

d$)$ Average power consumed by the $50$ resistor

c$)$ Average power consumed by the $100$ resistor

f$)$ Average power consumed by the inductor