6.53 Develop a differential equation for iL(t) in the circuit of Fig. P6.53. Solve it to determine iL(t) for t > 0 subject to the following element values: Iş = 36 µA, Rs = 100 k2, R = 100 2, L = 10 mH, and C = 10 µF. %3D %3D

The voltage across a capacitor with the value C = 4 F is given by the waveform in Fig.P6.10. Find the waveform for the current in the capacitor for the time interval Os ≤ t≤t2, given that t2 = 15s. PCV) +12 -12 A t1 t2 t3 t4 t(s)

Assume that the initial energy stored in the inductors of Figs. P6.23(a) and (b) is zero. Find the equivalent inductance with respect to the terminals a, b. PSPICE MULTISIM Figure P6.23 (a) 12 mH 24 mH 10 mH 20 mH 30 mH 9 mH, i5 mH3 8 mH be (b) 25 μΗ 18 μΗ a 60 μΗ 20 μΗ 30 μΗ 75 μΗ 12 μΗ 15 μΗ 38 μΗ

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A capacitor with a capacitance of 32 microfarads is discharged through a resistance of 53 kilo-ohms.  How many milliseconds does it take for the voltage to drop to 1/e of its initial value.  Here "e" is the base of natural logarithms, about 2.718 .

The charge on a C = 0.4F capacitor is measured as a function of time in a physics lab and produces following graph. The capacitor is part of a simple circuit having only a battery, a capacitor, and a resistor in series. The capacitor starts uncharged and at t=0s, the battery is plugged in and the capacitor charges. In general, the charge of a charging capacitor is given by: q(t) = Qmax(1 – e-t/RC) Charge vs. Time 20 18 16 14 O 12 10 6. 4 2 3 7 8. 10 Time (s) Chart Area Use the graph to estimate the time constant for this circuit, r. Estimate the resistance of the resistor R in this circuit. Charge (C) 00

The initial values of i1 and i2 in the circuitshown (6.4) are 60 A and 240 A, respectively. The voltage at the terminals of the parallel inductorsfor t> 0 is -30e^-5t mV If the parallel inductors are replaced by asingle inductor, what is its inductance in (mH) if L1=18mH and L2=131mH? V i(t) 40 L1 ₂(1) L2

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6.8.2 A capacitor with 1.5 mF capacitance has the terminal voltage Vo V, t0 initial current is 2.1 A, determine the constant B. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Your Answer: Answer