What is the resistance of a coil if its impedance is 415Ω and its reactance is 325Ω ?
Please show me the final answer too. thank you so much :x
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Please show me the final answer too. thank you so much :x
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Verified answer
impedance = Z
resistance = R
reactance = X
Z^2 = R^2 + X^2
(415)^2 = R^2 + (325)^2
172225 = R^2 + 105625
R^2 = 172225 - 105625
R^2 = 66600
R = 258 ohm
from impedance triangle:
Z²=R² + X²
where: Z=impedance; R=resistance; X=reactance
R=√ (Z² - X²)
R=√ (415² - 325²)
R=√66600
R=258.0698 ohms---------->ans.