Hey everyone, this is my first post here, but I'm a longtime reader.
Here's the question:
A series circuit contains L = 159 μh; C = 159 pf; R = 20 Ω. The supply voltage is 100 volts.
a) Calculate the resonant frequency.
b) Calculate the circuit impedance Z at resonance and for frequencies of 25, 50, 100, and 200 kHz above and below resonance. Indicate whether these impedances are resistive, inductive, or capacitive. Plot a curve of Z versus f.
Now I started with part a) by using fo = 1/(2π√(LC)), substituting in 159x10^(-6) for L and 159x10^(-12) for C. This gave me an answer of:
fo = 1000000 cycles
^^Is this correct?^^
Now if it is, for the second part, do I just use the formulas for inductive reactance and capacitive reactance (XL = 2πfL ; XC = 1/(2πfC) and substitute in the L and C values for each +/- of frequencies, then compare and see if XL > XC (inductive impedance) or if XC > XL (capacitive impedance), etc?
Thanks a lot.
Here's the question:
A series circuit contains L = 159 μh; C = 159 pf; R = 20 Ω. The supply voltage is 100 volts.
a) Calculate the resonant frequency.
b) Calculate the circuit impedance Z at resonance and for frequencies of 25, 50, 100, and 200 kHz above and below resonance. Indicate whether these impedances are resistive, inductive, or capacitive. Plot a curve of Z versus f.
Now I started with part a) by using fo = 1/(2π√(LC)), substituting in 159x10^(-6) for L and 159x10^(-12) for C. This gave me an answer of:
fo = 1000000 cycles
^^Is this correct?^^
Now if it is, for the second part, do I just use the formulas for inductive reactance and capacitive reactance (XL = 2πfL ; XC = 1/(2πfC) and substitute in the L and C values for each +/- of frequencies, then compare and see if XL > XC (inductive impedance) or if XC > XL (capacitive impedance), etc?
Thanks a lot.