An RC circuit with components C = 6mF, R = 3kN and R2 = 4kN is set as shown in the figure. The capacitor is initially charged to 50V. At t = 0 the switch is thrown to position 1, at t3s the switch is turned to position 2. Which of the following expressions correctly gives the charge on the capacitor at t = 9s? 1 O a. Q= (300mC)e¬5/6 O b. Q= (150mC)(1– e-5/6) O. Q= (0.15C)e-6/5 O d. Q= (15C)(1 – e~3/2)e¬1/3 O e. Q=(15mC)e¬/² Of. Q= (300mC)e=5/12 O g. Q= (300mC)(1– e¬1/²)e¬1/3 O h. Q= (0.3C)(1 – e¬1/3)e¬1/2 21 R2 R1 ww

An RC circuit with components C = 6mF, R = 3kN and R2 = 4kN is set as shown in the figure. The capacitor is initially charged to 50V. At t = 0 the switch is thrown to position 1, at t3s the switch is turned to position 2. Which of the following expressions correctly gives the charge on the capacitor at t = 9s? 1 O a. Q= (300mC)e¬5/6 O b. Q= (150mC)(1– e-5/6) O. Q= (0.15C)e-6/5 O d. Q= (15C)(1 – e~3/2)e¬1/3 O e. Q=(15mC)e¬/² Of. Q= (300mC)e=5/12 O g. Q= (300mC)(1– e¬1/²)e¬1/3 O h. Q= (0.3C)(1 – e¬1/3)e¬1/2 21 R2 R1 ww

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The figure displays two circuits with a charged capacitor that is to be discharged through a resistor when a switch is closed. In figure (a) below, R₁ = 21.7 Q and C₁ = 5.08 µF. In figure (b) below, R₂ = 10.5 Q and C₂ = 8.00 μF. The ratio of the initial charges on the two capacitors is 902/901 = 1.82. At time t = 0, both switches are closed. At what time t do the two capacitors have the same charge? Number i 0.188 Units 00 ms (a) (b)
Four 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
Useful Constants: k = 9.00 × 10º Nm² C2 8.85 x 10-12 C² Nm2 %3D e = 1.6 x 10-19 C me = 9.11 x 10 mp = 1.67 × 10-27kg %3D -27 mn = 1.68 x 10 %3D
Consider the circuit shown in the figure. A short time after closing the switch, the charge on the capacitor is 70.0% of its initial charge. Assume the circuit has a time constant of 18.7 s. +Q (a) Calculate the time interval required (in s) for the capacitor to reach this charge. (b) If R = 300 kn, what is the value of C (in uF)? UF
In the figure below is a circuit with four resistors and a battery. The battery has an emf of E = 10.65 V and a current of I. The resistance of each resistor is related to some resistance R as follows: R1 R, R2 2R, R3 = 4R, R4 3R. Determine the voltages across each resistor. R, = 2R %3D R, = R R, = 3R R, = 4R V V = ww
The Q vs t graph shown below is for the capacitor of an RC circuit. Q (C) 8 6. 4. 2. O 6. t(s) 10 20 30 40 50 60 70 80 90 100 4. Second graph The Q vs t graph shown below is for the capacitor of an RC circuit. Q (C) 8 2 2 3 4 Determine the time constant of the RC circuit. t(s) T= If C = 4 F, determine R. R = Ω In this case, was the capacitor charging or discharging? --Select- Determine the time constant of the RC circuit. T= If R = 102, determine C. C = In this case, was the capacitor charging or discharging? -Select- + #
Consider the circuit shown in the figure below, where C1 = 6.00 µF, C2 = 2.00 µF, and AV = 12.0 V. Capacitor C1 is first charged by closing switch S1. Switch S1 is then opened, and the charged capacitor is connected to the uncharged capacitor by closing S2. What is the new voltage across C2? AV OA 9,00 V O B. None of the given options OC 3,00 V O D. 12.0 V O E. 6.00 V
Consider the circuit shown, where G=6.0 µF, C2=12 µF, and AV= 20 V. Capacitor G is first charged by closing switch S. Switch S, is then opened, and the charged capacitor is connected to the uncharged capacitor C by closing S2. The final charge on C2 is: C1 |C2 AV S1 S2 Ο 40 μC 80 µC Ο 120 μC O 360 µC
The circuit in the figure below contains a 90.0 V battery and four capacitors. In the top parallel branch, there are two capacitors, one with a capacitance of C, = 6.00 µF and another with a capacitance of 6.00 UF. In the bottom parallel branch, there are two more capacitors, one with a capacitance of 2.00 UF and another with a capacitance of C2 = 9.00 µF. 6.00 µF 2.00 μF 90.0 V (a) What is the equivalent capacitance (in µF) of the entire circuit? UF (b) What is the charge (in uC) on each capacitor? on C, on C2 on the 6.00 UF capacitor on the 2.00 µF capacitor (c) What is the potential difference (in V) across each capacitor? across C, V across C, V across the 6.00 µF capacitor V across the 2.00 HF capacitor V
Four capacitors are arranged in the circuit shown in the figure. The capacitors have the values C C3 = 50.5 µF, and C4 = 40.5 µF, and the power supply is at v V = 22.5 V. = 24.5 µF, C2 = 45.5 µF, What is the equivalent capacitance of the circuit? C, V equivalent capacitance: µF C, What is the charge on capacitor C2? charge on C2: x100 C What is the potential difference across capacitor C3?
Consider 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 (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 uF)? µF Need Help? Read It
Consider 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 RI