Angular Frequency Of Lc Oscillations — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Angular Frequency of LC Oscillations Applicable to ideal LC circuits consisting of a pure inductor and a pure capacitor with zero resistance. Apply Kirchhoff's Voltage Law to the loop: V L + V C = 0. Substitute V L = L(dI/dt) and V C = q/C, noting I = dq/dt. Form the differential equation: L(d 2q/dt 2) + q/C = 0. Compare with the standard SHM equation: (d 2x/dt 2) + 2 x = 0. Identify 2 = 1/(LC), leading to = 1/ LC . Resistance (R) must be negligible for undamped oscillations. L and C must be positive non-zero values. Confusing angular frequency ( , rad/s) with frequency (f, Hz). Remember f = / 2 . Neglecting unit conversions, especially for microfarads ( F) and millihenries (mH). Believing energy is created; energy actually oscillates between electric field (capacitor) and magnetic field (inductor).