Expert-level academic advice to solve a problem in a perfect oscillating circuit
- Use the equation q=CV to calculate the capacitor's voltage V, where q is the charge and C is the capacitance. In this case, C is equal to 1/(2000π) μF.
- Next, use the equation V=IR to calculate the current I in the circuit. R is equal to the inductive reactance, which is given by XL=2πfL, where f is the frequency of oscillation. In this case, f is equal to 2,000π Hz.
- Once you have the current, use the equation I=Idsin(ωt) to find the maximum current, where Id is the initial current and ω=2πf.
- Using the equation E=1/2CV², you can calculate the energy stored in the capacitor at any given time.
- To find the maximum energy, simply substitute the maximum current and voltage into the equation.
- Additionally, to find the period T of the oscillation, use the equation T=2π√(LC).
