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A closely wound search coil (see Exercise 29.3) has an area of 3.20 cm$^2$, 120 turns, and a resistance of 60.0 $\Omega$. It is connected to a charge-measuring instrument whose resistance is 45.0 $\Omega$. When the coil is rotated quickly from a position parallel to a uniform magnetic field to a position perpendicular to the field, the instrument indicates a charge of 3.56 $\times$ 10$^{-5}$ C. What is the magnitude of the field?

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$0.0973 \mathrm{T}$

Physics 102 Electricity and Magnetism

Chapter 29

Electromagnetic Induction

Section 2

Faraday's Law

Inductance

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Lectures

03:27

Electromagnetic induction is the production of an electromotive force (emf) across a conductor due to its dynamic interaction with a magnetic field. Michael Faraday is generally credited with the discovery of electromagnetic induction in 1831.

02:36

An inductor, also called a choke, is a passive two-terminal electrical component that stores electrical energy in a magnetic field when electric current is flowing through it. The effect is used in inductors in electronic circuits to block DC current while allowing AC current to pass. An inductor typically consists of a conducting coil of wire. The presence of the magnetic field causes the electrical field to form a closed loop, or circuit, that resists a change in current. The generated field forms a magnetic flux linkage with a magnetic flux. The linkage with the magnetic flux is proportional to the number of loops and the area of the loops. Inductors are characterized by their inductance, which is the ratio of the voltage induced in the coil to the change in current. An ideal inductor is characterized by a linear relationship between the voltage and the current. An inductor is an electrical component that stores energy in a magnetic field. The magnetic field appears around a current-carrying conductor due to the magnetic field created by the flow of electrons. An inductor typically consists of a conducting coil of wire. The presence of the magnetic field causes the electrical field to form a closed loop, or circuit, that resists a change in current. The generated field forms a magnetic flux linkage with a magnetic flux. The linkage with the magnetic flux is proportional to the number of loops and the area of the loops.

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from problem 29 point really really arrive. We derive the result that the charge to is equal to a number of turns and times magnetic field strength, beauty times area over resistance are total. Assistants are. And so from that we make being subject. We want to find me here. So be is, um um Hugh Charge times our resistance over a number of trance and Time's A area. So charges 2.56 times to the length of five cool ums times resistance is ah, 60 plus 45. That's one of five. Holmes is just a standard unit. And so 45 comes from the instrument that measures the charge and 60 is from the coil itself. So you'll add that together for the total resistance, which is one of five and then divide that by number of turns has won 20 times area just 3.2 times 10 to the negative. Four squared meters on. So this gives us, uh, I made it feel strength of 0.9 73 Tesla

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