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A variable frequency ac source is connec...

A variable frequency ac source is connected to a capacitor. How will the displacement current change with decrease in frequency ?

Text Solution

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Capacitive reactance is inversely proportional to conduction current,
`therefore C_(c )prop (1)/(I_(c ))`
and `X_(c )=(1)/(2pi vc)`
`therefore X_(c )prop(1)/(f)` and `I_(c )=(V)/(X_(c ))`
When frequency decreases `X_(c )` will increase and conduction current also decreases. Hence conduction current is equal displacement current.
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