A capacitor of capacity C and reactance X, if capacitance and frequency both become double then reactance will be:-
Question
A capacitor of capacity C and reactance X, if capacitance and frequency both become double then reactance will be:-
Solution
The reactance (X) of a capacitor is given by the formula:
X = 1/(2πfC)
where:
- f is the frequency
- C is the capacitance
If both the capacitance (C) and the frequency (f) are doubled, the new reactance (X') will be:
X' = 1/(2π(2f)(2C))
This simplifies to:
X' = 1/(8πfC)
So, if both the capacitance and frequency are doubled, the reactance will be one eighth of the original reactance.
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