The following is the stereotypical RLC AC circuit. The voltage source is E(t) = E, cos(wt + ¢). In steady state, all voltage differences and currents oscillate at the same rate, but the phase constants (ø for the source) and amplitudes (é, for the source) are different. R E(t) L The quantity w is routinely called the frequency (often the "angular frequency"). It equals 2n times the ordinary frequency. One could write the following: VR(t) = VRO Cos(wt + Ør) Vc (t) = Vco cos(wt + ¢c) VL (t) = VL0 Cos(wt + ¢1) I(t) = I, cos(wt) Which of the following equations is correct? V_R(t), V_C(t), and V_L(t) are all the same as é(t). E0 = V_RO + V_CO +V_LO é(t) = V_R(t) + V_C(t) + V_L(t)
The following is the stereotypical RLC AC circuit. The voltage source is E(t) = E, cos(wt + ¢). In steady state, all voltage differences and currents oscillate at the same rate, but the phase constants (ø for the source) and amplitudes (é, for the source) are different. R E(t) L The quantity w is routinely called the frequency (often the "angular frequency"). It equals 2n times the ordinary frequency. One could write the following: VR(t) = VRO Cos(wt + Ør) Vc (t) = Vco cos(wt + ¢c) VL (t) = VL0 Cos(wt + ¢1) I(t) = I, cos(wt) Which of the following equations is correct? V_R(t), V_C(t), and V_L(t) are all the same as é(t). E0 = V_RO + V_CO +V_LO é(t) = V_R(t) + V_C(t) + V_L(t)
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter33: Inductors And Ac Circuits
Section: Chapter Questions
Problem 36PQ
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The following is the stereotypical RLC AC circuit. The voltage source is E ( t ) = E 0 cos ( ω t + ϕ ). In steady state, all voltage differences and currents oscillate at the same rate, but the phase constants (ϕ for the source) and amplitudes (ℰ₀ for the source) are different.
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