Consider a series circuit with a voltage source, swtich, capacitor and resistor all in series. Assume that the resistance is $1$ ohm $,$ and the EMF of the voltage source is $10$ volts. Assume that the capacitor is a parallel plate capacitor with air or vacuum between the plates. Let the plates be circular with a radius of $1$ meter and a separation of $1$ mm $.$ Calculate the magnetic field, $H,$ between the plates as a function of time. You may ignore the fringing field effects at the edge of the capacitor plates. $($Units and direction are important.$)$