Behavior of Current in an AC mains wire

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HAgdn
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Homework Statement
Suppose an electrical socket is connected to the AC mains. This AC mains is producing a near-pure sinusoidal wave of voltage.

Now, if you are to connect a non-linear load on the socket and characterize the draw current of the load, will the current running in the AC mains wire to the socket will also be non-linear?
Relevant Equations
No relevant equations.
No attempted solutions.
 
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If your load is the only load, yes, at least as far back down the line as the last power conditioning circuit.
 
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