A current waveform in Figure Q1(a)(i) is applied to the circuit input, is, in Figure Q1(a)(ii). Assuming that the capacitors are initially uncharged, find the output voltage, v.(t). Q1 (а)
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- For the circuit in the figure, initially the switch S is closed in (b), until the capacitor is charged; then the switch goes to point (a) so that the battery is disconnected and the capacitor, resistor and inductor are connected in series. Once S is connected at point (a), find a) the angular frequency of oscillation for the series circuit b) write the equation for the charge on the capacitor as a function of time with the respective values of Qmax, angular frequency Wd and time T c) make the Q(t) graph showing explicitly the envelope of the exponential decay (Hint: use geogebra or an application of your choice to obtain a graph).For the circuit, now keep switch J2 closed, close switch J1. Determine the expressions for the voltage across the capacitor and the current delivered by the source.An 8 μF capacitor is a 200 V DC in series with a 0.5 MΩ resistorlinked to the source. According to this;a) τ =?b) Initial value of charging currentc) The time required for the voltage at the capacitor ends to become 160 V.d) 4 s after connecting to the source, i =? and Vc =? Calculate the values.
- A solid specimen of dielectric dielectric constant of 4.0, shown in the figure has an internal void of thickness 1mm. The specimen is 1cm thick and is subjected to a voltage of 80 kV(rms). If the void is filled with air and if the breakdown strength of air can be taken as 30 kV(peak)/cm, find the voltage at which an internal dischargea) We assume that the switch is on. Calculate the reactance values and find the charging current in the circuit below. Is the circuit capacitive or inductive? Show that the voltage across the capacitance can be slightly larger than the source voltage U. (This is called the Ferranti effect and means that we can get a voltage rise beyond overhead lines with small loads. This is mostly relevant at the highest voltage levels. The frequency f is 50Hz, and assume voltage U= √2⋅24kV2. A parallel plate capacitor with a plate area of 0.13 square meters separated by 1 mm is charged to 9 Volts by a battery, which is then disconnected. The plate separation is then increased to 40 mm.A. Using the expression for the capacitance of a parallel plate capacitor, what do you expect the new potential difference across the plates to be after the increase?B. Suppose you measure the potential difference across the plates after the separation and find it to be 30 V (this should be very different from what you found in part A). This unexpected result can be explained by the effects of “stray capacitance” with nearby objects. Assuming that the stray capacitance can be modeled as a capacitor connected in parallel with the parallel plate capacitor, find the value of this stray capacitance.
- a) Define Potential Gradient? b) Write any four name of the practical types of capacitor? c) How do you discharge the capacitor?Given:Vb = 100 voltsR = 10000 ohmsC = 200 μFAssuming that after a long period of time, the switch is flipped from position "A" to position "B" at t=0. How much is the energy stored in the capacitor after t=∞?Ex : For the circuit shown in the figure below : 1. Find the mathematical expression for the transient behaviour of the voltage across the capacitor as well as the current of the capacitor if the capacitor was initially uncharged and the switch is closed at position 1 when t - o sec . 2. Find the mathematical expression for Vc and is if the switch is moved to position 2 at t = 10msec . 3. Find the mathematical expressions for Vc and ic if the switch is moved to position 3 at t = 20msec 4. Plot the waveforms of the Vc and is obtained from the parts 1 to 3 . R ic 20 kΩ 20 E 12 V C 0.05 uF vc R , 310 ΚΩ T
- How does the product rule of differentiation (differential calculus) useful in Capacitance and Capacitors in Series and Parallel Connections?Determine the transfer function for a tubular heat exchanger similar to the one shown in Figure 2.3 and described by the following differential equation: ** Please see attachmentDescribe the steady-state similarities and differences of DC and AC circuits with purelyresistive elements