Capacitive reactance is inversely proportional to ________.

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ALP CBT 2 Electronic Mechanic Previous Paper: Held on 21 Jan 2019 Shift 1
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  1. Voltage
  2. Capacitance
  3. Frequency
  4. Both capacitance and frequency

Answer (Detailed Solution Below)

Option 4 : Both capacitance and frequency
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Detailed Solution

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Capacitive reactance:

Capacitive reactance is given by:

\({X_C} = \frac{1}{{ω C}}\)

With ω = 2πf

\({X_C} = \frac{1}{{2π fC}}\)

\({X_C} \propto \frac{1}{{ fC}}\)

The capacitive reactance is inversely proportional to the frequency and capacitance.

26 June 1

Inductive reactance:

Inductive reactance (XL) is given by:

XL = ωL

ω = frequency in radian/sec which can be written as:

ω = 2πf

XL = ωL = 2πfL

f  = frequency in Hz

L = value of inductor in Henry

From the above, we conclude that:

XL ∝ f (for a constant L)

The inductive reactance is directly proportional to frequency.

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