A$60$ Hz$,$single phase$13\mathrm{.}8$kV transtormer has a no$-$load current of$3\mathrm{.}5|83$A rms$.$When it is disconnected from the system by opening the circuit breaker, it is found that the transient voltage appearing across the transformer following current interruption is exactly critically darmped. What is the effective capacitance of the transformer?

For the purpose of this question the transformer can be treated as a parallel RLC circuit in which the dissipation in the resistor represents the no$-$load losses.