A circuit has three horizontal branches connected in parallel. The top branch contains a battery with its positive terminal on the left. To the right of the source of emf, there is an open switch S subscript $1.$ The middle branch contains a resistor R on the left and an inductor L on the right. The left side of the resistor is connected to the circuit wire at point $\text{'}$a$\text{'}.$ The right side of the resistor is connected to the left side of the inductor at point b$.$ The right side of the inductor is connected to the circuit wire at point c$.$ Current lowercase i moves from the resistor to the inductor, or from point $\text{'}$a$\text{'}$ to point c$.$ The bottom branch contains an open switch S subscript $2.$ In $($Figure $1),$ suppose that E

$=60\mathrm{.}0$ V

$,$ R

$=240$

$,$ and L

$=0\mathrm{.}160$ H

$.$ Initially there is no current in the circuit. Switch S$2$

is left open, and switch S$1$

is closed. Part A

Just after S$1$

is closed, what is the potential differences Vab

$?$

Express your answer in volts. Part B

Just after S$1$

is closed, what is the potential differences Vbc

$?$

Express your answer in volts. Part C

A long time $($many time constants$)$ after S$1$

is closed, what is Vab

$?$

Express your answer in volts. Part D

A long time $($many time constants$)$ after S$1$

is closed, what is Vbc

$?$

Express your answer in volts.

Part E

What is Vab

at an intermediate time when i

$=0\mathrm{.}150$ A

$?$

Express your answer in volts. Part F

What is Vbc

at an intermediate time when i

$=0\mathrm{.}150$ A

$?$

Express your answer in volts.