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If you know the wattage you may be able to work out the resistance.

Is the fridge 12 or 240 volts.

A 100 watt light bulb is about 40 ohms.

A 40 watt light bulb is about 100 ohms. - As the wattage goes up the resistance goes down. There is a formula but I can't remember what it is.

You may have an earth leakage problem.  If you are comfortable with electrics try this..  1)  Remove the earth link IN THE PLUG.    2) plug in the fridge - DO NOT TOUCH THE FRIDGE AS IT MAY BE LIVE.  If the trip still goes it is most likely to be a short circuit element. UNPLUG THE FRIDGE AND REMEMBER TO RE-CONNECT THE EARTH.   Keep kids out of the way when u try this.