Question
An RLC series circuit has a $2.50 \textrm{ }\Omega$ resistor, a $100 \textrm{ }\mu \textrm{H}$ inductor, and an $80.0 \textrm{ }\mu \textrm{F}$ capacitor.(a) Find the circuit’s impedance at 120 Hz. (b) Find the circuit’s impedance at 5.00 kHz. (c) If the voltage source has $V_{\textrm{rms}} = 5.60 \textrm{ V}$, what is $I_{\textrm{rms}}$ at each frequency? (d) What is the resonant frequency of the circuit? (e) What is $I_{\textrm{rms}}$ at resonance?
1. $16.7 \textrm{ }\Omega$
2. $3.71 \textrm{ }\Omega$
3. At $f = 5.00 \textrm{ kHz}$, $I_{\textrm{rms}} = 1.51 \textrm{ A}$
At $f = 120 \textrm{ Hz}$, $I_{\textrm{rms}} = 0.335 \textrm{ A}$
4. $1780 \textrm{ Hz}$
5. $2.24 \textrm{ A}$
Solution Video