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Answer the following.

The graph shows the variation of with angular frequency (in K rad/s) for two different LCR…

Physics20251 markNumerical
The graph shows the variation of $I_{rms}$ with angular frequency $\omega$ (in K rad/s) for two different LCR circuits, with resistances $R_1$ and $R_2$. Calculate the resonance frequency for the two different LCR circuits.
Figure 64
Figure 64

Answer

Answer

AI
Both circuits have the same peak position, $\omega_0 = 1.0\text{ K rad/s} = 1000\text{ rad/s}$. Resonance frequency $f_0 = \frac{\omega_0}{2\pi} = \frac{1000}{2\pi} \approx 159.2\text{ Hz}$ (that is, $0.1592\text{ kHz}$) for each circuit.

Final answer: 159.2 Hz

Alternating Current

From ISC 2025 Practice Physics, question 64(b).

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