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The electric mains in a house are marked...

The electric mains in a house are marked 220V-50Hz. Write down the equation for instantaneous voltage.

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Here 220 V is rms voltage. So peak voltage is `220sqrt(2)V`.
Instantaneous voltage is given by
`E=E_(0) sin (onega t+phi)=220sqrt(2)sin (2 pi 50 t+phi)`
`=220sqrt(2)sin(100 pi t + phi)`.
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