The Q vs t graph shown below is for the capacitor of an RC circuit. Q (C) 18 13.5 9. 4.5 Determine the time constant of the RC circuit. T = If C = 9 F, determine R. R = 22 In this case, was the capacitor charging or discharging? charging

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18
P Pearson Sign In PAcceptable units
Vo is the voltage of the battery, Qmax Is the charge on the capacitor when t = ∞, & I; is the initial current.
Capacitor charge Resistor voltage
Capacitor voltage
Vc = Vo(1-e-t/t)
Qc = Qmax(1-e-t/T)
Vc≈ 0.632V
Qc≈ 0.632Qmax
Discharging RC Circuit:
o V; is the initial voltage of the relevant device (capacitor or resistor), Q; is the initial charge, & I; is the initial current.
Capacitor voltage
Vc = Vje-t/t
Capacitor charge
Qc = Q₁e-t/t
Resistor voltage
VR = V₁e-t/t
VR≈ 0.368V;
Current
I = I₁e-t/t
I≈ 0.3681;
Vc≈ 0.368V;
Qc≈ 0.368Q;
13.5
Formula
9.
When t = T
Videos
First graph
4.5
The Q vs t graph shown below is for the capacitor of an RC circuit.
Q (C)
Formula
When t = T
14 21 28 35 42 49 56 63 70
t(s)
Current
VR = Voe-t/T
I = I₁e-t/t
VR≈ 0.368Vo I≈ 0.3681
Determine the time constant of the RC circuit.
T=
If C = 9 F, determine R.
R =
Ω
In this case, was the capacitor charging or
discharging? charging
Transcribed Image Text:18 P Pearson Sign In PAcceptable units Vo is the voltage of the battery, Qmax Is the charge on the capacitor when t = ∞, & I; is the initial current. Capacitor charge Resistor voltage Capacitor voltage Vc = Vo(1-e-t/t) Qc = Qmax(1-e-t/T) Vc≈ 0.632V Qc≈ 0.632Qmax Discharging RC Circuit: o V; is the initial voltage of the relevant device (capacitor or resistor), Q; is the initial charge, & I; is the initial current. Capacitor voltage Vc = Vje-t/t Capacitor charge Qc = Q₁e-t/t Resistor voltage VR = V₁e-t/t VR≈ 0.368V; Current I = I₁e-t/t I≈ 0.3681; Vc≈ 0.368V; Qc≈ 0.368Q; 13.5 Formula 9. When t = T Videos First graph 4.5 The Q vs t graph shown below is for the capacitor of an RC circuit. Q (C) Formula When t = T 14 21 28 35 42 49 56 63 70 t(s) Current VR = Voe-t/T I = I₁e-t/t VR≈ 0.368Vo I≈ 0.3681 Determine the time constant of the RC circuit. T= If C = 9 F, determine R. R = Ω In this case, was the capacitor charging or discharging? charging
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