33 - 33 33-2 LC 1 LC 2 q vC = C v R = iR LC 1 2 2 kx 1 2 2...

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33장. 전자기 진동과 교류 33-2 LC 진동 - 정성적 분석 1. LC회로에서의 전류와 전자기장의 진동 2. 축전기와 저항에 걸리는 전압의 시간변화 v C = q C v R = iR 표: 용수철 진동자와 LC 발진회로 대응관계
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추-용수철 역학계 LC 발진자 요소 에너지 요소 에너지 용수철 위치에너지 1 2 kx 2 축전기 전기에너지 1 2 q 2 C 운동에너지 1 2 mv 2 유도코일 자기에너지 1 2 Li 2 x v = dx dt k m ω = k m q i = dq dt 1/ C L ω = 1 LC
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33-4 LC 진동 - 정량적 분석 1. 용수철 진동자 총에너지 U = 1 2 mv 2 + 1 2 kx 2 운동방정식 dU dt = 0 m d 2 x dt 2 + kx = 0 일반해 x ( t ) = X cos (ω t + φ); ω = k m 2. LC 발진자 총에너지 U = 1 2 Li 2 + 1 2 q 2 C 운동방정식 dU dt = 0 L d 2 q dt 2 + 1 C q = 0 일반해 q ( t ) = Q cos (ω t + φ); ω = 1 LC 전자기장 에너지의 시간변화 U E = 1 2 q 2 C = Q 2 2 C cos 2 t + φ) U B = 1 2 Li 2 = 1 2 L ω 2 Q 2 sin 2 t + φ) = Q 2 2 C sin 2 t + φ)
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