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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:-

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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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