In an ideal oscillating circuit, the amplitude of the current fluctuations in the inductor is 10 mA. Find the amplitude

In an ideal oscillating circuit, the amplitude of the current fluctuations in the inductor is 10 mA. Find the amplitude of the voltage across the capacitor. The capacitance of the capacitor is C = 10mkF, and the inductance of the coil is L = 1mH.

To find the amplitude of the voltage across the capacitor U, we use the law of conservation of energy: C ∙ U² / 2 = L ∙ I² / 2. Knowing that in an ideal oscillatory circuit the amplitude of the current fluctuations in the inductor is I = 10 mA = 0.01 A, the capacitance of the capacitor C = 10 μF = 0.00001 F, and the inductance of the coil L = 1 mH = 0.001 H, we find U² = L ∙ I² / С or U = 0.1 V.
Answer: 0.1 V.