ripple current calculation?

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Hi,
I have assembled a timer with relay.

The supply is a nominal 9Vac bridge rectified and minimal smoothing.
The scope shows ripple on the DC feed of 12V to 14V (flat topped saw tooth) when driving the 555 timer and it's few components.
The supply drops to 3V to 13.5V (10.5V of ripple) when the relay pulls in.

The relay is 400r and the timer draws about 5mA.

How does one calculate the ripple current in the first and only smoothing capacitor? Iripple=Vpk/[relay resistance] + timer current?
 
Hi,
the 22uF allows the circuit to work correctly and after running for an hour still felt cold.

10uF does not work, so I will adopt 33uF or 47uF (I have a few in stock).
BUT,
the ripple current for a range of 22uF varies between 37mA and 50mA and that seems very close to the running current that the circuit consumes.

4fun's link shows a calculation method, but, it is more complicated than I expected so I will try a few numbers and see what pops out.

Thanks for the replies.
 
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