. A 47,000 µF capacitor, initially charged to 100 V, is discharged by a steady current of 1 mA. How long does it take to discharge the capacitor to 0 V? a. Is this discharge time long or slow? Explain
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- Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 - Hz power line. An ammeter indicates a circuit current of 8.6 amperes. How much current is flowing through the 40F capacitor?4. In what form is the energy of a capacitor stored?2. 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.
- Derive an expression for the electrical energy stored in a capacitor of capacitance C when charged to a potential difference V. If C = 2µF and V= 4V, calculate(l.) the final energy stored in the capacitor,(II.) the work done by the battery in the charging process Account for any difference between your answers in parts (I) and (II) aboveA 220 microfarad capacitor has an initial charged of 800 microcoulomb. It is discharged through a 100-Ω resistor. How long will it take in order for a capacitor to discharge to 100 microcoulomb? 150 microcoulomb? 200 microcoulomb? Make a graphical representation of equivalent charge vs time t, then interpret the graphA ceramic capacitor is to be constructed to have a capacitance of 0.01µF and to have a steady working potential of 2.5 kV maximum. Allowing a safe value of field stress of 10 MV/m, determine (a) the required thickness of the ceramic dielectric, (b) the area of plate required if the relative permittivity of the ceramic is 10, and (c) the maximum energy stored by the capacitor.
- A capacitance of 5 uF, if the current given in the graph below is applied, what would the voltage on the capacitance be, t = 30 us (microseconds)?Suppose we have a very large capacitance (ideally, infinite) charged to 10 V. What othercircuit element has the same current-voltage relationship? Explain your answer.3. A ceramic capacitor has an effective plate area of 5cm2 separated by 0.1mm of ceramic of relative permittivity of 100. Calculate the capacitance in microfarads. If the capacitor is given a charge of 1.5 µC what will be the potential difference (pd) between plates? & calculate the energy stored in it
- The current in an initially uncharged 4-uF capacitor is shown below. Compute for the following at t = 2 msa) voltagemVb) energy stored in the electric field of the capacitorAnswer must be in numeral form, do not write the units, no decimal points.Given an initially charged capacitance that begins to discharge through a resistance at t=0, what percentage of the initial voltage remains at two time constants? What percentage of the initial stored energy remains?In the circuit diagram below, the capacitor C is first fully charged by using a 6.0V battery and the two way switch k. It is then discharged through the resistor R. The figure below shows how the charge Q on the capacitor C changes with time during the discharge. Use the graph to answer the following questions: What is the capacitance of the capacitor? Estimate the initial current through the resistor during the discharging process, hence, calculate the resistance of the resistor and the time constant of the circuit. On the same axes, draw graphs to show how the voltage Vc across the capacitor and VR across the resistor vary with time during the charging. Indicate values where appropriate.