A series RCL circuit contains a resistor of value R, an inductor of value L, and

Question

A series RCL circuit contains a resistor of value R, an inductor of value L, and a capacitorof value C, and operates at a frequency f1, such that one finds the square of the impedance is Z1^2, the inductive reactance is X = 2 omega and the capacitive reactance is Xc = 6 omega . If the frequency is doubles to f = 2f1, and the resistor is removed from th circuit leaving a series LC circuit, one finds the square of the impedance, Z2^2 is 24omega^2   less than Z1^2 (I.E Z2^2   = Z1^2 - 24omega^2    ). What is the value of the resistor, R?

a)   a) 1omega

b)   b) 3 omega

c)    c) 5 omega

d)    d) 2 omega

e)    e) 4 omega

f)      d) 6 omega

Explanation / Answer

f)      d) 6 omega

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