Practice portal › Alternating Current › LC Oscillations
Asked in RS Academy GUJCET booklet · Frequency and current in LC
Idea: in an LC circuit energy passes back and forth between the capacitor's electric field and the inductor's magnetic field.
With I = (dq)/(dt), the loop equation L(dI)/(dt) + q/C = 0 gives (d²q)/(dt²) = -1/(LC) q: simple harmonic motion with ω² = 1/(LC).
So ω = 1/(√LC); equivalently f = 1/(2π√LC) and T = 2π√LC.
Of the options, only ω² = 1/(LC) states this correctly.
Reading this solution needs no sign-in. You only sign in to practise against the clock and keep your progress.
Practise this with a timer