**Educational Content: Analysis of an RC Series Circuit****Circuit Description:**In the RC (series) circuit, the resistance \( R \) is 1.2 MΩ and the capacitance \( C \) is 5.00 μF. The circuit is connected to a 30-volt power source. A switch \( S \) is included for controlling the circuit operation.**Circuit Diagram:**The diagram shows a resistor \( R \) and a capacitor \( C \) connected in series with each other, and they are connected to an electromotive force (EMF) source labeled \( \mathcal{E} \), which is 30 volts. The switch \( S \) is placed in the circuit to close or open the connection to the power source. **Question:**What is the current in the circuit when the capacitor reaches 25 volts?**Options:**- a. 2.12 μA - b. 4.17 μA - c. 9.3 μA - d. 12.4 μA To solve this problem, use the formula for current in an RC circuit:\[ I = \frac{V_{\text{source}} - V_{\text{capacitor}}}{R} \]where:- \( V_{\text{source}} \) is 30 volts.- \( V_{\text{capacitor}} \) is 25 volts.- \( R \) is 1.2 MΩ. Using these values, you can calculate the current in the circuit when the capacitor has charged to 25 volts.

In the RC (series) circuit, R = 1.2 M2 and C = 5.00 µF. It is connected to a 30 volt power source with a switch S. www R What is the current in the circuit when the capacitor reaches 25 volts? 2.12 μΑ b. 4.17 µA c. 9.3 µA 12.4 μΑ

In the RC (series) circuit, R = 1.2 M2 and C = 5.00 µF. It is connected to a 30 volt power source with a switch S. www R What is the current in the circuit when the capacitor reaches 25 volts? 2.12 μΑ b. 4.17 µA c. 9.3 µA 12.4 μΑ

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter18: Direct-Current Circuits

Section: Chapter Questions

Problem 10CQ: An uncharged series RC circuit is to be connected across a battery. For each of the following...

See similar textbooks

Similar questions

The rather simple circuit shown below is known as a voltage divider. The symbol consisting of three horizontal lines is represents “ground” and can be defined as the point where the potential is zero. The voltage divider is widely used in circuits and a single voltage source can be used to provide reduced voltage to a load resistor as shown in the second part of the figure, (a) What is the output voltage Vout of circuit (a) in terms of R1,R2,andVin (b) What is the output voltage Vout of circuit (b) in terms of R1,R2,RLandVin
You have a faculty position at a community college and are m (caching a class in automotive technology. You are deep in a discussion of using jumper cables to start a car with a dead battery from a car with a fresh battery. You have drawn the circuit diagram in Figure P27.16 to explain the process. The battery on the left is the live batten- in the correctly functioning car, with emf and internal resistance RL where the L. subscript refers to live. Its terminals are connected directly across those of the dead battery, in the middle of the diagram, with emf and internal resistance RD where the D subscript refers to "dead Then, the starter in the car with the dead battery is activated by closing the ignition switch, allowing the car to start. The resistance of the starter is Rs. A student raises his hand and asks, So is the dead battery being charged while the starter is operating? How do you respond?
Referring to Figure CQ28.6, describe what happens to the lightbulb after the switch is closed. Assume the capacitor has a large capacitance and is initially uncharged. Also assume the light illuminates when connected directly across the battery terminals.
Unreasonable Results (a) Calculate the capacitance needed to get an RC time constant of 1,00x103 s with a 0.100- resistor, (b) What is unreasonable about this result? (c) Which assumptions are responsible?
Construct Your Own Problem 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 th voltage applied to the capacitor, the energy needed in the flash and the associated charge needed on the capacitor, the resistance of the flash lamp during discharge, and the desired RC time constant.
A person with body resistance between his hands of 1.00 k accidentally grasps the terminals of a 20.0-kV power supply. (Do NOT do this!) (a) Draw a circuit diagram to represent the situation. (b) If the internal resistance of the power supply is 2000 , what is the current through his body? (c) What is the power dissipated in his body? (d) If the power supply is to be made safe by increasing its internal resistance, what should the internal resistance be for the maximum current in this situation to be 1.00 mA or less? (e) Will this modification compromise the effectiveness of the power supply for driving low-re si stance devices? Explain your reasoning,
A battery has some internal resistance. (i) Clan the potential difference across the terminals of the battery be equal to its emir (a) no (b) yes, if the battery is absorbing energy by electrical transmission (c) yes, if more than one wire is connected to each let initial (e) yes, if the current in the battery is zero (e) yes, with no special condition required. (ii) Can the terminal voltage exceed the emf? Choose your answer from the same possibilities as in part (i).
Consider the circuit below. The capacitor has a capacitance of 10 mF. The switch is closed and after a long time the capacitor is fully charged, (a) What is the current through each resistor a long time after the switch is closed? (b) What is the voltage across each resistor a long rime after the switch is closed? (c) What is the voltage across the capacitor a long time after the switch is closed? (d) What is the charge on the capacitor a long time after the switch is closed? (e) The switch is then opened. The capacitor discharges through the resistors. How long from the time before the current drops to one fifth of the initial value?
****Show all forces, motion/free-body diagrams, calculations, equations, significant figures and work. ****
27. * (a) Write two loop rule equations and one junction rule equation for the circuit in Figure P19.27. (b) Use these equations to determine the current in each branch of the circuit for the case in which R₁ =50, R₂ =30, R3 =15 N, and ε = 120 V. Figure P19.27 R₁ E R₂ ww R3 -ww
8. * The following description of a circuit appears in your experimental laboratory manual. You are required to set the circuit up in order to do an experiment. Before you set up the circuit your teacher asks you to draw, using standard symbols, a circuit diagram of the circuit. In the space provided draw a labelled circuit diagram for the described circuit in the space below. The source of potential difference is two 3V cells connected in series to a switch and two 500 resistors. These components are also in series with three light bulbs in parallel to each other. A variable resistor is placed in series with one of the light bulbs. An ammeter is needed to measure the total current in the circuit. The potential difference across the whole parallel network and across one of the 1000 resistors is to be measured as well.
27. * (a) Write two loop rule equations and one junc- tion rule equation for the circuit in Figure P19.27. (b) Use these equations to determine the current in each branch of the circuit for the case in which R₁ = 50, R₂ = 30 , R₂ = 15 N, and ε = 120 V. 28. (a) Write Kirchhoff's loop rule for the circuit shown in Figure P19.28 for the case in which E₁ = 20 V. &₂ = 8 V, R₁ = 30 2. R₂ = 20 02. FIGURE P19.27 R₁ R₂ R₂ www