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Well, if a circuit is operating at high-frequencies and radiates signals (either due to an intentional antenna connected to the circuit or due to stray inductances)....the electro-magnetic signals thus generated are capable of inducing a voltage (commensurate with the original signal) in any stray inductance (e.g. a long wire piece) and thus interfere with the normal operation of this victim circuit.
A good example can be seen if you bring your cell phone close to your monitor and dial a number.
Electro magnetic interference (EMI) is noise which produce by other circuit or same ciruit on the operation of the circuit. Generally as the frquency increases ( rise and fall time decreases ) , the EMI effect will be more.
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