A capacitor has a capacity C and reactance X. If the capacitance and frequency both are doubled, the reactance will become A. 4X B.X/2 C. X/4 D.2X

breedvsr5

breedvsr5

Answered question

2023-03-25

A capacitor has a capacity C and reactance X. If the capacitance and frequency both are doubled, the reactance will become
A. 4X
B.X/2
C. X/4
D.2X

Answer & Explanation

Drake Peters

Drake Peters

Beginner2023-03-26Added 5 answers

The formula yields the capacitive resistance
X = 1 ω C = 1 2 π f C
Where
C→Capacitance
f→Frequency
Now Since frequency is doubled & capacitance also Doubled
X = 1 2 π ( 2 f ) ( 2 C )
= 1 4 ( 1 2 π f C ) = ( X 4 )
Hence, (C) is the correct answer.

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