A large capacitor of 3000 µF is charged by a constant current. After 1 minute it reaches a voltage of 100 V. At that voltage, the charging circuit is disconnected. a) Calculate the charging current. b) A second identical capacitor is connected across the capacitor, using wires with 1 kN re- sistance. Sketch a graph of the voltages on the two capacitors as a function of time, with appropriate numbers and units marked on the axes.
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- 5. An electric circuit contains a resistance R and a capacitor C in series, and a battery supplying a time-varying electromotive force (or voltage) V(t). The charge q on the capacitor therefore obeys the following differential equation: Rdq + 2 = V(t). dt Assuming that initially there is no charge on the capacitor, and given that V(t) Vosinut, where V₂ and w are some constants, find the charge on the capacitor as a function of time. = Hint: You may have to do integration by parts twice to evaluate the following inte- gral: feRc sin(wt)dt.b. A capacitor in a RC circuit is charged for a long time as shown in the Figure below, where the battery voltage V=6V. The switch s is flipped from a to b and the capacitor discharges through the R = 4 MQ resistor. 4 seconds after the switch is flipped to discharge the capacitor, the voltage across the capacitor is 3 V. What are (a) The time constant of this circuit (b) The capacitance of the capacitor (c) The current in the circuit and the charge on the capacitor just before the switch is flipped from a to b. (d) The current in the circuit immediately after the switch is flipped from a to bPart A: A resistor has a current of 50 mA and an electrical resistance of 5 k ohms. What is the voltage drop across the resistor? Part B: A capacitor with a capacitance of 14 F has a charge of 15 C stored on it. What is the voltage change across the capacitor?
- Please Asapa) Draw a circuit diagram for a circuit that uses the given resistors and capacitors and satisfies the instructor’s criteria for the circuit. b) How long does it take the capacitors in this circuit to charge to 50.0% of their maximum capacity?3. From the figure above, a switch is closed at time t = 0, allowing the capacitor to begin charging. The capacitance of the capacitor is given a value of C = 10 µF with a resistor of resistance R= 10 2. At what time is the potential across the capacitor equal to the potential across the resistor?
- A fully charged capacitor with capacitance of C= 80 uF is being discharged. If the total electric resistance of the circuit is 24.0 k and the initial voltage of capacitor is V=10 V, then: a) How long does it take for the capacitor to discharge by 70%? b) Calculate the energy lost from the capacitor by this time? c) Calculate the heat energy produced in the resistor by this time. d) Are the values of energies in parts c and d expected to be the same? Explain.The capacitor in the circuit shown is fully charged by a 24 V battery. The switch is closed at t = 0. At sometime after the switch is closed, the voltage across the capacitor is measured to be 10 V. What is the current in the circuit at this time, in Ampere? C = 3.0 µF, and R = 2.0 02. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. Cil3. A 3 μF capacitor initially has a voltage of 1.5 V when it is discharged through a resistance R. The voltage 3 ms after it has started to discharge is 0.25 Volts. Determine the time constant Tc. a. b. Determine the resistance R.
- Question A3 A large capacitor of 3000 µF is charged by a constant current. After 1 minute it reaches a voltage of 100 V. At that voltage, the charging circuit is disconnected. a) Calculate the charging current. b) A second identical capacitor is connected across the capacitor, using wires with 1 kN re- sistance. Sketch a graph of the voltages on the two capacitors as a function of time, with appropriate numbers and units marked on the axes.A 1 uF capacitor is connected in series with a 2 uF capacitor and an open switch. Initially, the voltage across the open switch is 12 V and the voltages across the two capacitors are equal. a) b) Draw this circuit, marking on your diagram values of voltage V, charge Q and stored energy E in appropriate places. The switch is now closed. A current will flow, and excess energy will be dissipated in heat in the wires. Make a second diagram showing the final values of the voltages V, charges Q and stored energies, and state the amount of energy dissipated. ECircuit Problem: Express each labelled voltage and current (e.g., vx, ix) in terms of the resistances and source currents and voltages (e.g., R0).