An RC circuit is connected across a DC voltage source through an open switch. The switch is closed at t = 0 s. Which of the following is a correct statement regarding the circuit? O The resistor and the capacitor share the applied voltage equally as a function of time. O Once the capacitor is fully charged, there is no current in the circuit. O The capacitor charges to its maximum value in one time constant. The current flows through the circuit even after the capacitor is fully charged. The capacitor charges to its maximum value in two time constants.

An RC circuit is connected across a DC voltage source through an open switch. The switch is closed at t = 0 s. Which of the following is a correct statement regarding the circuit? O The resistor and the capacitor share the applied voltage equally as a function of time. O Once the capacitor is fully charged, there is no current in the circuit. O The capacitor charges to its maximum value in one time constant. The current flows through the circuit even after the capacitor is fully charged. The capacitor charges to its maximum value in two time constants.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter29: Direct Current (dc) Circuits

Section: Chapter Questions

Problem 59PQ: A real battery with internal resistance 0.500 and emf 9.00 V is used to charge a 50.0-F capacitor....

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A real battery with internal resistance 0.500 and emf 9.00 V is used to charge a 50.0-F capacitor. A 10.0- resistor is put in series with the battery and the capacitor when charging. a. What is the time constant for this circuit? b. What is the time when the capacitor has reached half its maximum charge? c. What is the current through the capacitor at this time?
A 210.0- resistor and an initially uncharged 6.00-F capacitor are connected in series to a 12.0-V emf source. A switch is closed to complete the circuit at t = 0. a. What is the time constant of this circuit? b. What is the maximum charge on the capacitor? c. What is the charge on the capacitor at t = 3?
Two circuits made up of identical ideal emf devices ( = 1.67 V) and resistors (R = 35.9 ) are shown in Figure P29.8. What is the potential difference Vb Va a. for circuit 1 and b. for circuit 2? What is the current in the resistor c. in circuit 1 and d. in circuit 2?
Three resistors with resistances R1 = R/2 and R2 = R3 = R are connected as shown, and a potential difference of 225 V is applied across terminals a and b (Fig. P29.49). a. If the resistor R1 dissipates 75.0 W of power, what is the value of R? b. What is the total power supplied to the circuit by the emf? c. What is the potential difference across each of the three resistors?
Study the symbols in Table 29.2. Then, without looking at the table, draw the symbols for these circuit elements: a. a wire, b. a switch, c. a resistor, d. an emf device, and e. a lightbulb.
An ECG monitor must have an KC time constant lessthan 1.00102s to be able to measure variations involtage oversmall time intervals, (a) If the resistance of the circuit (duemostly to that of the patient's chest) is 1.00kTwhat is the maximum capacitance of the circuit?(b) Would It be difficult in practice to limit the capacitance to less than the value found in (a)?
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(a) During surgery, a current as small as 20.0 ? applied directly to the heart may cause ventricular fibrillation. If the resistance of the exposed heart is 300 , what is the smallest voltage that poses this danger? (b) Does your answer imply that special electrical safety precautions are needed?
Consider a circuit that consists of a real battery with an emf and an internal resistance of r connected to a variable resistor R. (a) In order for the terminal voltage of the battery to be equal to the emf of the battery, what should the resistance of the variable resistor be adjusted to? (b) In older to get the maximum current from the battery, what should the resistance variable resistor be adjusted to? (c) In order for the maximum power output of the battery to be reached, what should the resistance of the variable resistor be set to?
The emf in Figure P29.40 is 4.54 V. The resistances are R1=13.0, R2=26.0, and R3=39.0 Find a. the current in each resistor, b. the power consumed by each resistor, and c. the power supplied by the emf device.
A battery has an emf of 15.0 V. The terminal voltage of the battery is 11.6 V when it is delivering 20.0 W of power to an external load resistor R. (a) What is the value of R? (b) What is the internal resistance of the battery?