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Hello! I had a question about a simple resistor/inductor/capacitor circuit. My college textbook has me going over the following circuit to demonstrate capacitive and inductive resonance (the resistor in the circuit emulates the DC resistance of the inductor): According to theory, the resonant frequency of this circuit would be $$f_r = \frac{1}{2\pi\sqrt{239\mu H\cdot106pF}}\approx1 MHz$$ and the resulting reactances would be $$X_C = X_L = 2\pi\cdot1MHz\cdot239\mu H\approx1502\;\Omega$$ Because of the opposite phase angles of the reactances, they cancel out and leave the 10 ohm resistor as the total impedance of the circuit. This should, in theory, allow only $30\,\mu A$ of total current to flow in the circuit which would develop $45\,mV$ across the inductor and capacitor and $0.3\,mV$ across the resistor. My question is: Why doesn't the theory and the simulation match up? The values I'm getting from running a time-domain analysis show roughly $23\,mV_{p-p}$ across the capacitor and inductor and $154\,\mu V_{p-p}$ across the resistor, which are suspiciously close to half of what I expect from my calculations. Did I miss something basic? |
1 day, 15 hours ago |
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