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Chapter 19: Q29P (page 797)

The capacitor in Figure 19.65 is initially charged, then the circuit is connected. Which graph in Figure 19.66 best describes the current through the bulb as a function of time?

Short Answer

Expert verified

Figure (d) best depicts the current in the circuit.

Step by step solution

01

Given data

A fully charged capacitor is connected to a bulb.

02

Discharging of a capacitor

When a fully charged capacitor is connected in a circuit, electron flows from the negative to the positive plate, thus reducing charge in both plates.

03

Determination of the graph of the current in the circuit

As charges flow from the negative plate to the positive plate through the circuit, the net charge in the plates reduces. The fringe field due to the capacitor in the circuit also reduces thus reducing the current in the circuit. This continues until the capacitor is completely discharged and the current in the circuit is zero. This is best depicted by figure (d).

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Most popular questions from this chapter

A certain 6 V battery delivers 12 A when short circuited. How much current does battery deliver when 1Ω resistor is connected to it?

A circuit consists of two batteries (with negligible resistance), six ohmic resistors and connecting wires that have negligible resistance. The resistance R1is 10Ω, R2 is 20Ω, R3 is 30Ω, R4is 12Ω, R5is 15Ω and R6 is 20Ω. Unknown currents I1,I2 ,I3 ,I4 , I5 and I6 have their directions marked on the circuit diagram in figure 19.87.

(a) Write down a set of equations that could be solved for the six unknown currents. Make sure you can explain how to you got these equations. (b) When a correct set of equations is solved the currents are as follows (to the nearest miiampeares) I1=0.4394A, I2=0.3312A, I3=0.0065A, I4=0.1082A, I5=0.3247Aand I6=0.4329A. Check your equations by substituting in these numbers. (c) Suppose that you connect the negative lead of a voltmeter to location C. What does the voltmeter read, including both magnitude and sign? (d) What does the power output of the 5 V battery? (e) Resistor is made of a very thin metal wire that is 3 mm long, with a diameter of 0.1 mm. What is the electric field inside the metal resistor.

Why can birds perch on the bare wire of a power line without being electrocuted?

How is the charging time for a capacitor correlated with the initial current? That is, if the initial current is bigger, is the charging time, longer, shorter, or the same?

A particular capacitor is initially charged. Then a high-resistance Nichrome wire is connected between the plates of the capacitor, as shown in Figure 19.69. The needle of a compass placed under the wire deflects 20°to the east as soon as the connection is made. After 60sthe compass needle no longer deflects.

(a)Which of the diagrams in Figure 19.69 best indicates the electron current at three locations in this circuit? (1) 0.01safter the circuit is connected, (2) 15s after the circuit is connected, (3) 120s after the circuit is connected.

(b)Which of the diagrams in Figure 19.70 best indicates the net electric field inside the wire at three locations in this circuit? (1) 0.01s after the circuit is connected, (2) 15safter the circuit is connected, (3) 120s after the circuit is connected.
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