The shown circuit has been closed for a long time. Find the charge (in uC) on the 6 µF capacitor if ɛ=3 V. 6µF 50 50 ww 2 µF 3.
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- Assume that the current flow through the resistor, IR, is 15 A; the current flow through the inductor, IL is 36 A; and the circuit has an apparent power of 10,803 VA. The frequency of the AC voltage is 60 Hz. ET ER EL IT IR15A IL36A Z R XL VA10,803 P VARSL PF LThe voltage across a 2µF capacitor is shown in Fig. Determine the waveformfor the capacitor current (a) Find mathematical expression of v(t) for 0 ≤ t ≤ 2 (b) Find mathematical expression of v(t) for 2 ≤ t ≤ 6Find Leq between the terminals a,b for the circuits shown below. Assuming the initial energy stored in the inductors is zero.
- The voltage across a 2µF capacitor is shown in Fig. Determine the waveformfor the capacitor current (a) Find mathematical expression of v(t) for 0 ≤ t ≤ 2 (b) Find mathematical expression of v(t) for 2 ≤ t ≤ 6 (c) Draw the waveform for the capacitor current.A series circuit has a capacitor of 1.5625x10^(-8)F a resistor of 2x10^4 ohms, and an inductor of 1H. If the initial charge on the capacitor is zero,. if a 12-volt battery is connected to the circuit and the circuit is closed at t=0, determine the charge on the capacitor at any time tIf the expression of the voltage across a capacitor of capacitance C=10 mF is v(t)=5 sin(10t) mV, then find out the expression of the current flowing through the capacitor.
- * If the current through a 5 mH inductor is increasing at 3 A/s, what is the voltage across the inductor? * The current in an 8 µH inductor is given by i(t) = 3t + 2 A. What is the value of the inductors voltage at t = 2 s.The circuit elements in the circuit L=50 mH, and C=0.2 μF. The initial inductor current is−45 mA and the initial capacitor voltage is 15 V. The resistance is increased to250 Ω. Find the expression for v(t) for t≥0.* Determine the charge stored on a 2.2 µF capacitor if the capacitor’s voltage is 5 V. *In some integrated circuits, the insulator or dielectric is silicon dioxide, which has a relative permittivity of 4. If a square capacitor measuring 10 µm on edge, has a capacitance of 100 fF, what is the separation distance between the capacitor’s plates, in µm?
- A 20μF capacitor is subjected to a voltage pulse having a duration of 1 s. The pulse is described by the following equations: vc(t)={30t2 V,0≤t≤0.5 s;30(t−1)2 V,0.5 s≤t≤1 s;0elsewhere. Sketch the current pulse that exists in the capacitor during the 1 s interval.When the charge on the capacitor in an ??LC circuit is one‑third of the maximum stored charge, calculate the ratio ?γ of the energy stored in the capacitor compared to the total energy in both the inductor and the capacitor.(i) In an RLC circuit with R=6, L=1, C=1/8, and V (t) =85cos (t), the initial values of the charge and current are 8 and 4, respectively. Determine the charge Q (t) and current I (t) at any time t > 0. (i) Write the forced response for O in the form Acos (0 (t) - Q) and find when it atteins its maximum value for the first time.