Capacitor and reactance question

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SUMMARY

A 9.08 microFarad capacitor exhibits a reactance of 245.0 Ohm. The frequency at which it is driven can be calculated using the formula for capacitive reactance: Xc = 1/(2πfC). By substituting the values, the calculated frequency is 17528.07 Hz. However, the accuracy of this frequency value is questioned, indicating a need for verification of the calculations.

PREREQUISITES
  • Understanding of capacitive reactance and its formula
  • Basic knowledge of frequency and its relationship with capacitance
  • Ability to perform unit conversions, specifically from microFarads to Farads
  • Familiarity with mathematical operations involving π (pi)
NEXT STEPS
  • Verify calculations for capacitive reactance using different values
  • Explore the implications of frequency on capacitor performance
  • Learn about the effects of reactance in AC circuits
  • Study the relationship between capacitance and frequency in electrical engineering
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Electrical engineers, students studying circuit theory, and anyone involved in designing or analyzing AC circuits with capacitors.

kkingkong
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A 9.08 microFarad capacitor is measured to have a reactance of 245.0 Ohm. At what frequency (in Hz) is it being driven?

I converted 9.08microFaraad in farads- 9.08x10^-6
THe formula i used was 1/(2*pi*f*9.08X10^-6) -- f = 17528.07 Hz

but i am not sure if this is the right answer.
 
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kkingkong said:
A 9.08 microFarad capacitor is measured to have a reactance of 245.0 Ohm. At what frequency (in Hz) is it being driven?

I converted 9.08microFaraad in farads- 9.08x10^-6
THe formula i used was 1/(2*pi*f*9.08X10^-6) -- f = 17528.07 Hz

but i am not sure if this is the right answer.

The formula is correct for the reactance, but the value for frequency that you found doesn't look right. Check your math.
 

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