Badai,
The Field Strength Meter is a simple untuned AM detector just like part of an AM radio. It is used to measure the radio-waves strength of a nearby radio transmitter. It might be sensitive enough to also detect nearby live mains wiring.
What do you expect to measure from an appliance that is not turned on? It might have "risidual" electricity that is stored in a charged capacitor, but that voltage is a steady DC without any electromagnetic radiation (radio-waves). The power in an inductor is dissipated within milliseconds after turning off the power. Motors that produce spinning magnetic fields and maybe sparking, have stopped and therefore no longer produce radiation.
You say that residual power remains in the appliance as long as the mains wire is not unplugged, which is true only if the appliance has continuous power, even when switched off, for a function requiring power like remote control or a clock.
You also say that a handphone (cell or wireless?) causes interference to a nearby radio, of course it will because it is an operating radio transmitter. A field strength meter will measure its radio-waves strength. The radio-waves (interference) stop when the handphone is turned off.
Good-luck with your detector of something that does not occur. As you can see from the links, perhaps you should change your objective to detecting active EMI.