The circuit shown in Figure 4.55 contains two nonlinear devices and a current source. The characteristics of the two devices are given. Determine the voltage, v, for (a) is = 1 A, (b) is = 10 A, (c) is 10 A, (c) is = 1 cos (t). is N₁ N2 i2 + i₁(A) ν -1 v (V) i2(A) + v (V)
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- Interpret In (AVR) = In (AV) -t as y(t)=b+mt T and get the result: graph of In (AVR) versus / (called a semi-log graph) should be linear with y-intercept b = ln (AV) and slope m = 1 =-²/ T We can determine t and hence C from an experimental measurement of the slope. Draw a graph of In (AVR) (log of measured voltage across the resistor, vertical axis) vs time (horizontal axis). From the y-intercept of the best-fit line, find AVo = 9[V], as expected. Using the slope, find T = Using this calculate the unknown capacitance: T Cexperimental R - - 1 slope = Now, measure the actual value of the capacitance with the digital multimeter and compare it to the value obtained from the graph: Actual capacitance is: 12,4 FIEquation1: Q(t)=CVcap(t) Equation 2: Qcharging(t)=CV(1−e^(−t/RC)) 1. Combine equations 1 and 2 to create an equation capable of finding the time-dependent voltage across a charging capacitor. Equation 3: I(t)≡(dQ(t))/(dt) 2. Combine equations 2 and 3 to create an equation capable of finding the time-dependent current across a charging capacitor.The voltage V (volts), current I (amperes), andresistance R (ohms) of an electric circuitare related by the equation V = IR. Suppose that V is increasing atthe rate of 1 volt/sec while I is decreasing at the rate of 1/3 amp/sec. Let t denote time in seconds. What is the value of dI/dt?
- he voltage drop across the capacitor rises from 0 to ℰ. Note that ℰ is never actually known in the measurement. In fact, the oscilloscope voltage is decalibrated, so that, whatever ℰ is, ℰ is at the top line while zero is at the bottom line. We don't measure voltage levels, but rather 1/2, 1/4, and 1/8 the maximum. Kirchhoff's voltage law give: ℰ = IR + Q/C or the following: dQdt=−1RC(Q−EC)dQdt=−1RC(Q−ℰC) The solution for the capacitor voltage is VC(t)=E(1−e−t/RC)VC(t)=ℰ(1−e−t/RC) The voltage is zero at t = 0, t is the rising time, and you have to know when the rising begins. Now, calculate VC (in dev) when t = RC ln 2. R = 0.6 kΩ C = 2.3 μFThe following image is of a voltmeter, which measures electric potential, in volts (V). A:A: What is the smallest increment on the voltmeter? B:B: What is the uncertainty? Select two answers: one for question AA and one for question B.