At the moment t $=0,$ a $22\mathrm{.}0$ V battery is connected to a $5\mathrm{.}00$ mH coil and a $6\mathrm{.}00$ resistor.

$($a$)$

Immediately thereafter, how does the potential difference across the resistor compare to the emf across the coil? $($Enter your answers in V$.)$

resistor Vcoil V

$($b$)$

Answer the same question about the circuit several seconds later. $($Enter your answers in V$.)$

resistor Vcoil V

$($c$)$

Is there an instant at which these two voltages are equal in magnitude?

YesNo$$

$($d$)$

If so$,$ when? Is there more than one such instant? $($Enter all possible times in ms as a comma$-$separated list. If there are no such instants, enter NONE.$)$

ms

$($e$)$

After a $4\mathrm{.}40$ A current is established in the resistor and coil, the battery is suddenly replaced by a short circuit. Answer questions $($a$)$ and $($b$)$ again with reference to this new circuit. $($Enter your answers in V$.)$

immediately thereafterseveral seconds laterresistor V V