Find the answer based on Figure 3. (a) Determine the equilibrium charge on the capacitor C1 in the circuit of Figure as a function of R. (b) When R= 3, find the charge and stored energy in each capacitor. (c) Can the charge on the capacitor C1 be zero? If so, for what value of R?
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- You are working in an industrial plant. You have been instructed to double the capacitance connected to a machine. The markings on the capacitor, however, are not visible. The capacitor is connected to 560 volts and an ammeter indicates a current of 6 amperes flowing to the capacitor. What size capacitor should be connected in parallel with the existing capacitor? What is the minimum AC voltage rating of the new capacitor? What is the minimum DC voltage rating of the new capacitor? What is the minimum KVAR size that can be used in this installation?Vbatt=25 VC1=90 ?CC2=75 ?CC3=60 ?CR1=160 ΩR2=120 Ωt2=21.6 msect3=27 msecConsider the circuit shown below which shows a battery connected to some resistors and capacitors along with some switches which will be toggled opened or closed at different times. The components are listed above. The capacitances are in microCoulombs (?C), the resitances are in Ohms (Ω), and the times are in milliseconds (msec). A stopwatch is started at time t1=0 ms. At that time, switch S1 is closed and all other switches are open and the capacitor is allowed to charge up.(a). What is the charge (in uC) on C1 at the time the stopwatch reads t2=21.6 ms?Ans: 1750 uC(b). What is the current (in mA) through R1 at t2=21.6 ms?Ans: 34.9 mA(c). What is the voltage (in V) across R1 at t2=21.6 ms?Ans: 5.58 V(d). What is the voltage (in V) across C1 at t2=21.6 ms?Ans: 19.4 V(e). What is the energy (in mJ) in C1 at t2=21.6 ms?Ans: 17.0 mJThen, immediately at time t2=21.6 on the stopwatch, switch S1 is thrown open and…The upper part of the circuit shown on the figure below consists of two parallel wires A (bluewire) and B (red wire), with following properties: Wire A: length l, resistivity ρA, cross section area SA.Wire B: length l, resistivity ρB, cross section area SB.The resistivity of the remaining (black) wires is negligible.On the right part of the circuit there is a capacitor: half of the capacitoris filled with twodielectric blocks with equal volume with dielectric constants κ1 and κ2. The other half isvacuum. The area of the capacitor plates is SC.(a) Find the equivalent RC circuit of the circuit. Deduce the time constant.(b) How much energy is stored in the capacitor in steady state?
- Having stabilized the fuel, you look to your computer for next steps. You are told that the spacecraft uses a "start capacitor" that must reach a required voltage in order to start its engine. This voltage is determined by the fixed capacitance and charge as a function of time, q(t) . These capacitors are charged and stored in your current location and must be brought to the spacecraft. Your computer provides you with the following definitions: Charge: The charge as a function of time is q(t)=∫i(t)dt , where i(t)=36t^5+15t^2−6 is the current as a function of time. You need to provide the computer with the function q(t) in order for it to appropriately charge the start capacitor. If an unknown constant is needed, it can be included using "+ C", being sure to use a capital letter as the lowercase is used for capacitance. q(t)=P5 Determine the current in each mesh of the circuit shown in Figure 3. if the switch is closed in the instant t = 0 en which the charge of the capacitor is 0.A 150-volt electromotive force is applied to an RC-series circuit in which the resistance is 1500 ohm and the capacitance is 5 micro Farad (uF). If q(0)=0, find the charge and current at t=0.005 s. charge: q = micro Farad (uF) current: i = milli ampere (mA) Determine the charge as t approaches infinity. charge: q= micro Farad (uF)
- i. How can four 100 kΩ resistors be connected so that the equivalent resistance of the four equals 250 kΩ? Sketch the arrangement, describe the resistor arrangement in words, and justify your picture by calculating the equivalent resistance. ii. Repeat part i. above with four 100 F capacitors and an equivalent capacitance of 75 F.In the circuit shown, switch S is closed at time t = 0 with no charge initially on the capacitor. (a) Find the reading of each ammeter and each voltmeter just after S is closed. (b) Find the reading of each meter after a long time has elapsed. (c) Find the charge on the capacitor after a long time. (d) Draw a qualitative graph of the reading of voltmeter V2 as a function of time.Calculate the gravimetric capacitance of a carbon based electrode with an aqueous electrolyte solution. Assume the surface area of the carbon electrode is 1200 m2/g, and the relative static permittivity of the aqueous electrolyte solution is 80. The permittivity of free space is 8.85 × 10−12 F/m. Indicate any other assumptions you have to make.
- 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.A potential difference of V = 58.0 V is applied across a circuit with capacitances C1 = 4.7 nF, C2 = 3.1 nF, and C3= 1.3 nF, as shown in the figure.a) What is the magnitude and sign of q3l, the charge on the left plate of C3 (marked by point A)? b) What is the electric potential difference, V3, across C3? c) What is the magnitude and sign of the charge q2r, on the right plate of C2 (marked by point B)?The figure shows an electrical circuit with an ideal source ε1 = 12 [V], a real source ε2 = 9 [V] and r1 = 1 [Ω], eight resistors and two capacitors. Switches A and B areThey are originally open and the charge on the capacitors is zero. If at t = 0 [s] switch A opens and switch B closes, determine:d) The potential difference of resistor R8 at t = 2.6 [s].e) The time required for the potential difference of the equivalent capacitor to reach the maximum possible value. Justify your answer.