Example 24: Show that the frequency of forced vibrations in a closed electrical circuit with inductance, L and capacitance, C in series is 30 per minute. Solution: This case is comparable to the equation of "equivalent free oscillations" in electrical system viz. L"9+1 = 0 dť 'c dq. 1=0 (no e.m.f.) or .(1) de LC dq de 1 May be written as + a³q = 0 ... (2) LC an equivalent equation of simple harmonic motion. Thus, it represents free electrical oscillations 2n of current leaving period T = : = 2n/LC and frequency = 1/T per seconds = 60 per minute T 30 per minute. %3!

Example 24: Show that the frequency of forced vibrations in a closed electrical circuit with inductance, L and capacitance, C in series is 30 per minute. Solution: This case is comparable to the equation of "equivalent free oscillations" in electrical system viz. L"9+1 = 0 dť 'c dq. 1=0 (no e.m.f.) or .(1) de LC dq de 1 May be written as + a³q = 0 ... (2) LC an equivalent equation of simple harmonic motion. Thus, it represents free electrical oscillations 2n of current leaving period T = : = 2n/LC and frequency = 1/T per seconds = 60 per minute T 30 per minute. %3!