A $7\mathrm{.}50$nF capacitor is charged up to $12\mathrm{.}0$V then disconnected from the power supply and connected in series through

a coil. The period of oscillation of the circuit is then measured to be $8\mathrm{.}6010$#$s$.$ Calculate

a$)$ the inductance of the coil

b$)$ the maximum charge on the capacitor

c$)$ the total energy in the circuit

d$)$ the maximum current in the circui