How do I calculate impedance for different components at a specific frequency?

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To calculate impedance at 10Hz for a 4.7 kΩ resistor, a 1 µF capacitor, and a 25 mH inductor, the capacitor's impedance is found using the formula Zc = 1/(jωC), resulting in Zc = -j15915.5 Ω. The inductor's impedance is calculated with Zl = jωL, yielding Zl = j1.57 Ω. The resistor's impedance remains 4.7 kΩ. The total impedance is the complex sum of these values, expressed as Z = R + j(Xc + XL). It is important to ensure the correct formulas are applied for both capacitor and inductor reactance.
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Calculating Impedance Help!

Homework Statement



calcuate the impedance at the frequency 10Hz of a:

-4.7 kil0 ohm resistor
-1microFarad capacitor
-25mH inductor

Homework Equations


w=2*Pi*f


The Attempt at a Solution


for the capacitor impedance= 1/20*Pi*1*10^-6

for the inductor impedance=(1/20*Pi)*25*10^-3

Are these correct? and how do i solve it for the 4.7kohm resistor??
\
cheers
 
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The resistor will just be its own value, the total impdence will be the complex sum of all three.

Z = R +j(Xc+XL)
 


Your formula for finding the reactance of an inductor is not correct.
 

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