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4. (SLO #4) The initial capacitor voltage of the circuit shown is v.(0-) = 3 V....
For the circuit shown, find the following: a) v(0+), the voltage across the capacitor right after the switch closes. b) v), the voltage across the capacitor after the switch has been closed for a long time. c) v(T), the voltage across the capacitor after one time constant. 2. 3 S2 I(t) 12 V+ 6 Ω 0.5 F u(t) 3. For the circuit above, write the differential equation for t > 0.
9. For the given circuit, if the initial voltage across the capacitor is vc(0*) = 0, find an expression for the voltrage across the capacitor as a function of time and graph voltage versus time. R= 100 k2 w v=100 V uc) C = 0.01 uF 10. If a 100-F capacitance is initially charged to 1000V and at t=0, it is connected to a 1-ka resistance, at what time has 50 percent of the initial energy stored in the capacitance...
Circuit Analysis in the s-Domain 15.3. The initial voltage across the capacitor in the circuit shown in Figure P15.3 is v(0) 1 V, and the initial current through the inductor is i(0)0 mA Find the voltage vo (t) across the capacitor for t 2 0 Figure P15.3 50 mH 1 kS2 V. Volt) T 0.1 μF The circuit in the s-domain is shown below. R2 Va 1k 0.05s 1/(sC)-1e7/s Vo R1 2k V (0-ys 5/s 1/s 1 format long; 2...
The initial voltage across the capacitor is 0 V. At time t=0, the switch is closed a) What is the time constant for this circuit? b) What is the final voltage across the 50 capacitor? c) What is the expression for the voltage across the 50 capacitor? d) Sketch the waveform for . e) What is the maximum instantaneous current that will flow through the capacitor? f) When will the voltage reach 5.0 V?
An RLC circuit has an initial voltage across the capacitor and polarity as marked on the circuit shown below. The switch is closed at t = 0 and a current i(t) is assumed to flow clockwise in the circuit. Determine which expression correctly represents the Laplace-transformed value of current, i(s). Note that the coefficient of the highest power of s in the denominator may have to be made unity. (TCO 2) An RLC circuit has an initial voltage across the...
The current shown in the figure is applied to a 5 μF capacitor. The initial voltage on the capacitor v(0) is shown on the circuit. Q4A. 1. Determine the capacitor voltage v(t) 2. How much energy is stored in the capacitor at t - 1.4 ms, and t 6.5ms 3. Determine the power absorbed by the capacitor at t- 3ms. is(t) (mA) 15 is(t) t (ms) -5 tso t 2 6 ms is(t) v(t) w(1.4ms) w (6.5ms) p(3ms)
Learning Goal: To analyze an RC circuit to determine the initial voltage across a capacitor, the time constant, and the expression for the natural response of the capacitor voltage, and then to find other circuit quantities such as current,voltage, power, or energy. The natural response of an RC circuit is the response of the capacitor voltage to the sudden removal of a DC source. When this occurs, the capacitor releases its stored energy Figure < 10121〉 t 0 V. Figure...
Solve it as shown but use these values instead: An RLC series circuit has a voltage source given by E(t)=10 V, a resistor of 175 Ω, an inductor of 5 H,and a capacitor of 0.01 F. If the initial current is zero and the initial charge on the capacitor is 8 C, determine the current in the circuit for t>0. An RLC series circuit has a voltage source given by E(t) = 20 V, a resistor of 140 2, an...
For the underdamped circuit shown in the accompanying figure, determine the voltage v(t) if the initial conditions on the storage elements are i_(0) = 4 A and vc(O) = 10 V. il(0) 2H] v(t) 50 Tuco) 1/40 F Please put all numbers as integers. Click here to enter or edit your answer v(t) =
8.23 The initial value of the voltage v in the circuit in Fig. 8.1 is zero, and the initial value of the capacitor current, ic(0*), is 45 mA. The expression for the capacitor current is known to be i(t) = Aje-200t + Aze-8001, 1 2 0+, when R is 250 N. Find a) the values of a, wo, L, C, A1, and A2 Hint: u:... dic(0*) _ 1. dt di_(0+) dt dir(ot) dt -v(0) L 1 ic(0+) R C ....