$13.)(15$ pts$.)$ Consider the circuit below. The switch has been open for a long time.

a$)$ What are the magnitude and direction of the current in the $1\mathrm{.}0$ resistor at the moment just after the switch is closed?

b$)$ What are the magnitude and direction of the current in the $1\mathrm{.}0$ resistor a long time after the switch is closed?

c$)$ At the moment just after the switch was closed, using the axes below, draw a graph of the potential as a function of distance traveled through the circuit, traveling clockwise from $V=0V$ at the lower left

d$)$ A long time after the switch was closed, using the axes above, draw a graph of the potential as a function of distance traveled through the circuit, traveling clockwise from $V=0V$ at the lower left corner $($A$).$ Label the relevant voltage values on the vertical axis.