Please may you explain what you mean by 'RF spikes', and how they interfere with other parts of the circuit?
when charging a capacitor through a very low resistance you get a high current flowing for a very short period of time, if you graphed current against time it'd have a very steep gradient - which means high frequency, high frequency electric current means radio transmitter.
it'd interfere with nearby analogue radio receivers and might cause unexpected behavior in digital circuits.
I don't think you'll get any questions on this at A level though