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 (Eo for the source) are different. R E(t) The quantity w is routinely called the frequency (often the "angular frequency"). It equals 21 times the ordinary frequency. One could write the following: VR(t) = VrO Cos(wt + ¢r) Vc(t) = Vco cos(wt + ¢c) VL (t) = VL0 cos(wt + ØL) I(t) = Io cos(wt) Which of the following equations is correct? 80 = V_RO + V_CO +V_LO O ét) = V_R(t) + V_C(t) + V_L(t) V_R(t), V_C(t), and V_L(t) are all the same as &(t).

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Chapter1: Units, Trigonometry. And Vectors
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What is the phase constant for the resistor (ϕR)?

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 (Eo for the source) are different.
R
E(t)
The quantity w is routinely called the frequency (often the "angular frequency"). It equals 21 times
the ordinary frequency. One could write the following:
VR(t) = VrO Cos(wt + ¢r)
Vc(t) = Vco cos(wt + ¢c)
VL (t) = VL0 cos(wt + ØL)
I(t) = Io cos(wt)
Which of the following equations is correct?
80 = V_RO + V_CO +V_LO
O ét) = V_R(t) + V_C(t) + V_L(t)
V_R(t), V_C(t), and V_L(t) are all the same as &(t).
Transcribed Image Text: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 (Eo for the source) are different. R E(t) The quantity w is routinely called the frequency (often the "angular frequency"). It equals 21 times the ordinary frequency. One could write the following: VR(t) = VrO Cos(wt + ¢r) Vc(t) = Vco cos(wt + ¢c) VL (t) = VL0 cos(wt + ØL) I(t) = Io cos(wt) Which of the following equations is correct? 80 = V_RO + V_CO +V_LO O ét) = V_R(t) + V_C(t) + V_L(t) V_R(t), V_C(t), and V_L(t) are all the same as &(t).
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