Problem $4$: For the circuit shown below:

$R_1=\frac{2}{3}$

$R_2=3$

$R_3=4$

$R_4=6$

$R_5=3$

a$)$ Find the total resistance of the circuit

b$)$ What is the total current delivered by the battery?

c$)$ Find the current through each resistor.

d$)$ What is the voltage drop across each resistor?

e$)$ What is the power dissipated by each resistor?

f$)$ What is the total power dissipated by the circuit?