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RLC Circuits and Resonance

Q1:
The impedance is 9684 .

A True

B False

ANS:A - True

X=(R^2+(XL-XC)^2)^(1/2).
R^2 = 2000 * 2000 = 4 000 000.

XL = 2 * Pi * F * L = 6283.
XC = 1 / (2 * Pi * F * C) = 15915.

(XL-XC)^2 = (6283-15915)^2 = (-9632)^2 = 92775424.
X=(92775424+4000000)^(1/2) = 9837.

X = 9684 with R1 = 1 kOhm.



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