P For a given load resistance R, = 4.7 ohm, the power transfer efficiencies load of Prolal %3D total a de voltage source and a dc current source with internal resistances R, and R, , respectively, are equal. The product R,R, in units of ohm (rounded off to one decimal place) is
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- The power usage of a DC strip heater is to be determined at a 95% confidence interval, using a voltmeter and an ohmeter (P= E^2/R), where P is power inwatts, E is the electrical potential in volts, and R is the resistance in ohms. The voltmeter and ogmeter have the following specs Instrument Error (95%) Resolution Voltmeter +- 0.5% 0.001 Ohmmeter +- 0.3% 0.001 Determine the design stage uncertainty of power, using a nominal value of E = 8V and R = 5 ohm18 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? charging1) Figure 1 shows a circuit, with C = 1 µF, R1 = 1 Ω, R2 = 2 Ω and ε = 100 V. Suppose the switch S has beenopen for a very long time.a) What is the status of the capacitor after this long time — charged or discharged?b) Calculate the time constant of the capacitor. Your answer must include a number and its corresponding unit.
- A capacitor is charged with a total charge of q = 8.7E-05 C. The capacitor is wired in series with a resistor, R = 5 Ω. Part (a) Input an expression for the time constant, τ, of this circuit using the variables provided and C for capacitance. τ = Part (b) What is the value of the time constant in s if the capacitor has capacitance of 1.0 μF? τ = Part (c) How long will it take the capacitor to discharge half of its charge in seconds? t =An RC (resistor + capacitor) circuit will have an exponential voltage response of the form v(t) = A + B e -t/RC where A and B are constants that express the final voltage and the difference between the initial voltage and the final voltage, respectively. Given R = 10 kΩ and C = 0.1 µF, a starting voltage of 5 Volts and an ending voltage of 0 Volts, what will the voltage be at t = 1 ms? At what time will the voltage be 0.5 Volts?A simple DC circuit is shown below. Numerical values: , , . After the switch is closed, what are the readings in the ammeter and voltmeter?
- What is the time constant of a RC circuit with R = 10 k-ohms and C = 500 μFConsider a series RC circuit as in the figure below for which R = 6.70 MQ, C = 4.70 μF, and E = 25.5 V. C E S + R (a) Find the time constant of the circuit. 31.49 (b) Find the maximum charge on the capacitor after the switch is thrown closed. 1.1985e-4 X What is the current in the circuit when the capacitor has reached its maximum charge? μC (c) Find the current in the resistor 10.0 s after the switch is closed. μAA circuit with three resistors is connected in series and in parallel, with a supply DC voltage. The supply is, V = 120 V, and resistors at R1 = 10Ω, R2 = 20Ω, R3 = 30Ω, R4 = 40Ω, and R5 = 19Ω. What is the voltmeter measurement in-between VA and VB, where ΔV = VA-VB, of the circuit (in Volts)? What is the current at R1 (in Amps)?
- A 93uF capacitor Initially uncharged, is connected in a series with a 7kO resistor, and this combination is connected across and ideal 12V DC battery. As the capacitor charges, What is the current in the circuit as the capacitor reaches 17% of it maximum charge. What is the voltage across the resister when the capacitor is 17% charhed. How much charge is accumilated on the capacitor after three times constantsthe voltage across a component is given by v = V0e-t/CR. Determine the time taken for voltage v to drop from an initial voltage V0 of 150 volts to 100 volts, if C = 5 x10-6 Farads and R = 40 kW.K, and a generator of voltage V. Mark as true or false the following statements concerning the stor phase of V, V, V, Vc and VR- 1. V, and VR are in phase. 2. Vị leads Ve by 90°. 3. V is at angle o relative to VR- 4. VL-Vc is in phase with V,. 5. Vc lags VR by 90°. 5 give V. = 10.76 V. V.=5.68 V.