A $100$ ohm, $0\mathrm{.}2$ H relay coil is operated from a $18$ V dc power source by a switch with contacts that have a minimum arcing voltage of $12$ V and minimum arcing current of $400$ mA$.$ It has been determined that an R$-$C contact protection network using a series capacitor and resistor across the switch will be used.

What is the correct value of resistor $($in ohms$)$ to use?

A $100$ ohm, $0\mathrm{.}2$ H relay coil is operated from a $18$ V dc power source by a switch with contacts that have a minimum arcing voltage of $12$ V and minimum arcing current of $400$ mA$.$ It has been determined that an R$-$C contact protection network using a series capacitor and resistor across the switch will be used.

What is the correct value of resistor $($in ohms$)$ to use?

$18$

$15$

$150$

$72$