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Chapter 19: Q36P (page 797)

When a particular capacitor, which is initially uncharged, is connected to a battery and a small light bulb, the light bulb is initially bright but gradually gets dimmer, and after 45s it goes out. The diagrams in Figure 19.71 show the electric field in the circuit and the surface charge distribution on the wires at three different times ( 0.01s, 8s, and 240s) after the connection to the bulb is made. Which of the diagrams best represents the state of the circuit at each time specified?

(a)0.01safter the connection is made,

(b)8safter the connection is made,

(c)240safter the connection is made.

Short Answer

Expert verified

(a) Figure (C) best depicts the field and charge distribution in the circuit 0.01s after the connection is made.

Step by step solution

01

Given data

A capacitor and a bulb is connected in series with two batteries. The bulb gradually gets dimmer, and after 45s it goes out.

02

Flow of charges

As soon as it is switched on, positive charges flow away from the positive terminal of the battery and negative charges flow away from the negative terminal of the battery. This flow is due to the field created by the battery.

03

(a) Determination of the depiction of the circuit   after the connection is made

As soon as the connection is made, positive charges start flowing out of the positive terminal and negative charges start flowing out of the negative terminal. This constitutes a current and the current lights the bulb. The figure that best depicts the situation in (C).

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Most popular questions from this chapter

How is the initial current through a bulb affected by putting a capacitor in series in the circuit? Explain briefly.

Using thick connecting wires that are very good conductors, a Nichrome wire (鈥渨ire 1鈥�) of length L1 and cross-sectional area A1 is connected in series with a battery and an ammeter (this is circuit 1). The reading on the ammeter is I1. Now the Nichrome wire is removed and replaced with a different wire (鈥渨ire 2鈥�), which is 2.5 times as long and has 5.5 times the cross-sectional area of the original wire (this is circuit 2). In the following question, a subscript 1 refers to circuit 1, and a subscript 2 refers to circuit 2. It will be helpful to write out your solutions to the following questions algebraically before doing numerical calculations. (Hint: Think about what is the same in these two circuits.)(a) What is the value of I2/ I1, the ratio of the conventional currents in the two circuits? (b) What is the value of R2/ R1, the ratio of the resistances of the wires? (c) What is the value of E2/ E1, the ratio of the electric fields inside the wires in the steady states?

Which of the following statements about the discharging of a capacitor through a light bulb are correct? Choose all that are true. (1) The fringe field of the capacitor decreases as the charge on the capacitor plates decreases. (2) Electrons flow across the gap between the plates of the capacitor, thus reducing the charge on the capacitor. (3) The electric field at a location inside the wire is due to charge on the surface of the wires and charge on the plates of the capacitor. (4) Electrons in the wires flow away from the negative plate toward the positive plate, reducing the charge on the plates.

You are marooned on a desert island full of all kinds of standard electrical apparatus including a sensitive voltmeter, but you don鈥檛 have an ammeter. Explain how you could use the voltmeter to measure currents.

When a thin-filament light bulb is connected to two 1.5Vbatteries in series, the current is0.075AWhat is the resistance of the glowing thin-filament bulb?
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