In an electric oscillatory circuit, the capacitance of the capacitor is 1 μF, and the inductance of the coil is -1 H.

In an electric oscillatory circuit, the capacitance of the capacitor is 1 μF, and the inductance of the coil is -1 H. If for free undamped oscillations in the circuit, the amplitude of the voltage across the capacitor is 200 V, then the amplitude of the current on the coil is equal to?

To solve the problem, you need to use the law of conservation of energy.
Let’s write down the formula for solving the problem:
L * I * m ^ 2/2 = C * Um ^ 2/2;
Let’s transform the formula for our problem:
Um = I * m * √ (L / C);
Let’s substitute the values into the formula:
Um = 0.1 * √ (1/10 ^ -6);
Um = 100 B.
Answer: Um = 100 B.