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Q.

An ac source is connected to a capacitor C. Due to decrease in its operating frequency:

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a

displacement current decreases.

b

capacitive reactance decreases

c

displacement current increases

d

capacitive reactance remains constant

answer is D.

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Detailed Solution

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xc=1=12πfCxc1f
where, f = operating frequency
C = capacitance
As the operating frequency decreases, the capacitive reactance will increase. Hence, options (1) and (2) are incorrect. Displacement current is equal to conduction current.
Irms=VrmsXc=Vrms12πfCIrms=Vrms(2πfC) since, Vrms,C are constant Irmsf
Hence on decreasing the operating frequency, the conduction current decreases.
As displacement current = conduction current. On decreasing the operating frequency the
displacement current will decreases. Hence option (4) is correct and option (3) is incorrect.

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