For the circuit in the figure below, find the average power, the maximum instantaneous power, and the minimum instantaneous power delivered to the capacitor. Use f = 500 Hz, Vmax=20 V, and C = 1.4 μF. VAC (a) the average power W (b) the maximum instantaneous power w (c) the minimum instantaneous power w
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- Problem 9: A capacitor is charged with a total charge of q = 5.1E-05 C. The capacitor is wired in series with a resistor, R-8 Randomized Variables q = 5.1 E-05 C ← Δ Part (a) Input an expression for the time constant, τ, of this circuit using the variables provided and C for capacitance. HOME 4 5 6 BACKS CLEAR Submit Hint I give up! Hints: 1 -deduction per hint. Hints remaining: Feedback: deduction per feedback. Part (b) What is the value of the time constant in s if the capacitor has capacitance of 1.0 μF? Δ Part (c) How long will it take the capacitor to discharge half of its charge in seconds?Consider a camera’s flash unit. Construct a problem in which you calculate the size of the capacitor that stores energy for the flash lamp. Among the things to be considered are the voltage applied to the capacitor, the energy needed in the flash and the associated charge needed on the capacitor, theresistance of the flash lamp during discharge, and the desired RC time constant.Consider the circuit shown in the figure. (Assume that c, = 3 µF, C2 = 4 µf, C3 = 5 µF, and c, = 7 pF.) C3 90.0 V Determine the following. (a) the total energy (in m) stored in the system 18.75 v m) (b) the energy (in mJ) stored by each capacitor 1.71 This is the equivalent capacitance of the top branch of the circuit. Use this value and the potential difference to determine the charge on each capacitor in the top branch. Recall that the charge on capacitors in series is the same. Then apply the equation relating the energy, charge, and capacitance. mJ 1.71 This is the equivalent capacitance of the top branch of the circuit. Use this value and the potential difference to determine the charge on each capacitor in the top branch. Recall that the charge on capacitors in series is the same. Then apply the equation relating the energy, charge, and capacitance. mJ C3 m)
- RC Circuits: In the circuit shown in the figure, all the capacitors are initially uncharged when the switch S is suddenly closed, and the battery is ideal. Find (a) the maximum reading of the ammeter and (b) the maximum charge on the 5.00-µF capacitor. 5.00 uF 125V S A 50.0 Ω www 7.00 με HH 20.0 µF 10.0 μεConsider the circuit shown in the figure. A short time after closing the switch, the charge on the capacitor is 90.0% of its initial charge. Assume the circuit has a time constant of 17.7 s. +Q C Fe (a) Calculate the time interval required (in s) for the capacitor to reach this charge. (b) If R = 220 k2, what is the value of C (in µF)? µF RIFour capacitors are arranged in the circuit shown in the figure. The capacitors have the values C 3 26.5 иF, С2 — 45.5 pF, C3 = 50.5 µF, and C4 40.5 µF, and the power supply is at %3D voltage V = 19.5 V. C, What is the equivalent capacitance of the circuit? V equivalent capacitance: 14.14 µF What is the charge on capacitor C2? 4.03 x10-4 charge on C2: C Incorrect What is the potential difference across capacitor C3? potential difference across C3: V Incorrect What is the potential energy stored in capacitor C4 ? potential energy stored in C4: J Incorrect
- In the RC circuit below, Vs-8, R =49k2, and the capacitor = 83 µF. if, initially, the switch is at position A and the capacitor is fully charged, what time, in seconds (to two decimal places), will it take V to reach 7 Volts after the switch is moved from position A to position B? Vs A B R Vx5 μF.) Consider the circuit shown in the figure. (Assume that C₁ = 4 μF, C₂ = 3 μF, C3 = 7 µF, and C4 C₁ C₂ C4 Determine the following. (a) the total energy (in mJ) stored in the system mJ = Cg (b) the energy (in mJ) stored by each capacitor C₁ mJ C₂ mJ C3 mJ mJ = + 90.0 V = C4 (c) Which statement is true regarding the energy of the system and the individual capacitors? The sum of the energies stored in the individual capacitors is less than the total energy stored by the system. The sum of the energies stored in the individual capacitors is greater than the total energy stored by the system. The sum of the energies stored in the individual capacitors equals the total energy stored by the system.100.0kN and C Given the following RC circuit, with R time constant T. Then let a voltage of 45.0 V be applied to a charging capacitor. How long will it take for the capacitor to reach four fifths of the original charge Qmaz? 12.5µF, determine the R I V
- Consider the circuit shown in the figure. (Assume that C₁ = 3 µF, C₂ = 6 µF, C3 = 5 μF, and C4 = 4 μF.) C₁ C₂₂ C₂ Determine the following. (a) the total energy (in mJ) stored in the system mJ C3 C4 (b) the energy (in mJ) stored by each capacitor C₁ mJ mJ mJ mJ = = Cg II + 90.0 V = C4 (c) Which statement is true regarding the energy of the system and the individual capacitors? O The sum of the energies stored in the individual capacitors is less than the total energy stored by the system. The sum of the energies stored in the individual capacitors is greater than the total energy stored by the system. O The sum of the energies stored in the individual capacitors equals the total energy stored by the system.HINT: You will probably want to start this problem by calculating the effective capacitance of the circuit. Make sure to appropriately account for what is in parallel and what is in series as you do; the most straightforward way to do this traditionally is to set up smaller effective capacitors one segment at a time until you have reduced the entire capacitor network to a single effective capacitor, then calculate the time constant.Problem 3: A capacitor of 0.1 µF is charged from a 100-V battery through a series resistance of 1,000 ohms. Find (i) the time for the capacitor to receive 63.2 % of its final charge. (ii) the charge received in this time (iii) the final rate of charging. (iv) the rate of charging when the charge is 63.2% of the final charge.