1.

An a.c.source is connected to a capacitor of capacitance C. Find the expression for current flowing through it.

Answer»

Solution : Let an alternating voltage V = `V_(m) sin omega t` be applied across a pure capacitor C. Then instantaneous value of CHARGE on a PLATE of the capacitor is:
`q =CV = CV_(m) sin omega t`
Current FLOWING through the capaictor
`I = (dq)/(dt) = CV_(m) omega cos omega t = V_(m)/(1//Comega). sin (omega t + pi/2)`

`=I_(m) sin (omega t + pi/2)`
Expression for current clearly shows that for a pure capacitive a.c.
circuit the current leads the voltage by a PHASE angle `pi/2`


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