Please enable JavaScript.
Coggle requires JavaScript to display documents.
Module8 - Coggle Diagram
Module8
RLC Circuit
-
-
-
-
√VS=√(VR^2+(VL−VC)^2)
VR is the voltage drop of the resistor
VL is the voltage drop of the inductor
VC is the voltage drop of the capacitor
Electric review
- Ohm law: V=IR
- Resistence:R= p L/A p: resistivity of the material
- p = p0 (1 + α(T − T0))
- Power= W/Δt =IV=I^2*R=V^2/R
AC
- V=V0sin(2πft) P avg= I0V0(sin(2πft))^2
- P avg= I rms*V rms = I0V0/2
- I rms=I0/√2 V rms= V0/√2 Vrms=Irms* R
- I0 : max current. V0: max voltage
Capacitor
- Series:1/C total=Σ1/Ci
- Parralle:C total= Σ Ci
Resistor
- Series: R total= Σ Ri. same I
- Paralle: 1/R total=Σ1/Ri same V
LC circuit
-
Energy alternates between electric and magnetic forms,
similar to mechanical potential and kinetic energy exchanges.
•charge on capacitor: Q(t) = Qmax cos(ωt)
• current through inductor: I(t) = −ωQmax sin(ωt)
• angular frequency: ω = 1 √ LC
• magnetic energy: UB = 1/2 LI^2 (stored on inductor)
• electric energy: UE = Q^2/2C (stored on capacitor)
• total energy: E = UB + UE = const. anytime
•V=Q/C
resonance
RCL circuit
At resonance, impedance is minimal, and current is maximal.
-
-