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Chapter 29: Problem 8

You have a light bulb, a bar magnet, a spool of wire that you can cut into as many pieces as you want, and nothing else. How can you get the bulb to light up? a) You can't. The bulb needs electricity to light it, not magnetism. b) You cut a length of wire, connect the light bulb to the two ends of the wire, and pass the magnet through the loop that is formed. c) You cut two lengths of wire and connect the magnet and the bulb in series.

Short Answer

Expert verified
Answer: Connect the bulb to a loop of wire and pass the bar magnet through the loop. This creates a changing magnetic field which generates an electric current through electromagnetic induction, lighting up the bulb.

Step by step solution

01

Understand the options

Read the provided options (a), (b) and (c) carefully and determine which one can create an electric current necessary to light the bulb through electromagnetic induction.
02

Analyze option (a)

Option (a) states that the bulb can't light up because the bulb needs electricity and not magnetism. This option seems to disregard the possibility of creating an electric current through a changing magnetic field, so it is not the correct answer.
03

Analyze option (b)

Option (b) explains that a length of wire is cut, the bulb is connected to the ends of the wire, and a loop is formed. Then the magnet is passed through the loop. Due to electromagnetic induction, the changing magnetic field inside the loop can generate an electric current that can light up the bulb. This option seems plausible.
04

Analyze option (c)

Option (c) suggests cutting two lengths of wire and connecting the magnet and bulb in series. However, this option does not explain how the changing magnetic field can generate an electric current, so it is not the correct answer.
05

Choose the correct answer

Based on the analysis of the options, option (b) is the correct answer, as it demonstrates a way to light up the bulb using the principle of electromagnetic induction.

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Most popular questions from this chapter

A popular demonstration of eddy currents involves dropping a magnet down a long metal tube and a long glass or plastic tube. As the magnet falls through a tube, there is changing flux as the magnet falls toward or away from each part of the tube. a) Which tube has the larger voltage induced in it? b) Which tube has the larger eddy currents induced in it?

A 100 -turn solenoid of length \(8 \mathrm{~cm}\) and radius \(6 \mathrm{~mm}\) carries a current of 0.4 A from right to left. The current is then reversed so that it flows from left to right. By how much does the energy stored in the magnetic field inside the solenoid change?

Faraday's Law of Induction states a) that a potential difference is induced in a loop when there is a change in the magnetic flux through the loop. b) that the current induced in a loop by a changing magnetic field produces a magnetic field that opposes this change in magnetic field. c) that a changing magnetic field induces an electric field. d) that the inductance of a device is a measure of its opposition to changes in current flowing through it. e) that magnetic flux is the product of the average magnetic field and the area perpendicular to it that it penetrates.

A wire of length \(\ell=10.0 \mathrm{~cm}\) is moving with constant velocity in the \(x y\) -plane; the wire is parallel to the \(y\) -axis and moving along the \(x\) -axis. If a magnetic field of magnitude \(1.00 \mathrm{~T}\) is pointing along the positive \(z\) -axis, what must the velocity of the wire be in order to induce a potential difference of \(2.00 \mathrm{~V}\) across it?

A rectangular conducting loop with dimensions \(a\) and \(b\) and resistance \(R\), is placed in the \(x y\) -plane. A magnetic field of magnitude \(B\) passes through the loop. The magnetic field is in the positive \(z\) -direction and varies in time according to \(B=B_{0}\left(1+c_{1} t^{3}\right),\) where \(c_{1}\) is a constant with units of \(1 / \mathrm{s}^{3}\) What is the direction of the current induced in the loop, and what is its value at \(t=1 \mathrm{~s}\) (in terms of \(a, b, R, B_{0},\) and \(\left.c_{1}\right) ?\)
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