Electromagnetism - RLC Circuit



In the RLC circuit shown, the applied voltage is ε(t) = εm cos ωt For a constant εm, at what angular frequency ω does the current have its maximum steady-state amplitude after the transients have died out?

A. 1/RC
B. 2L/R
C. 1/√(LC)
D. √[(1/LC) − (R/2L)²]
E.  √[(1/RC)² − (L/R)²]
(GR9277 #81)
Solution:

Imax when XL = XC

→ ωL = 1 / ωC

ω = 1/√(LC)

Answer: C

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