Q8: Faraday's LawKEY IDEASThe long solenoid S shown (in cross section) in Fig. 30-3 has220 turns/cm and carries a current i = 1.5 A; its diameter Dis 3.2 cm. At its center we place a 130-turn closely packedcoil C of diameter d 2.1 cm. The current in the solehoid isreduced to zero at a steady rate in 25 ms. What is the magni-tude of the emf that is induced in coil C while the current inthe solenoid is changing?1. Because it is located in the interior of the solenoid, coil Clies within the magnetic field produced by current i in thesolenoid; thus, there is a magnetic flux d, through coil C.2. Because current i decreases, flux also decreases.3. As d decreases, emf E is induced in coil C.4. The flux through each turn of coil C depends on the areaA and orientation of that turn in the solenoid's magneticfield B.Because B is uniform and directed perpendicularto area A, the flux is given by Eq. 30-2 (4 = BA).5. The magnitude B of the magnetic field in the interior ofa solenoid depends on the solenoid's current i and itsnumber n of turns per unit length, according to Eq. 29-23(B = Pin).AxisFigure A coil Cis located inside a solenoid S, which carriesent i.

Answered: Image /qna-images/answer/fe7b7a34-b364-4dca-8e1d-37501131c1a3.jpg

KEY IDEAS The long solenoid S shown (in cross section) in Fig. 30-3 has 220 turns/cm and carries a current i 1.5 A; its diameter D is 3.2 cm. At its center we place a 130-turn closely packed coil C of diameter d 2.1 cm. The current in the solehoid is reduced to zero at a steady rate in 25 ms. What is the magni- tude of the emf that is induced in coil C while the current in the solenoid is changing? 1. Because it is located in the interior of the solenoid, coil C lies within the magnetic field produced by current i in the solenoid; thus, there is a magnetic flux , through coil C. 2. Because current i decreases, flux , also decreases, 3. As Pn decreases, emf & is induced in coil C. 4. The flux through each turn of coil C depends on the area A and orientation of that turn in the solenoid's magnetic field B.Because B is uniform and directed perpendicular to area A, the flux is given by Eq. 30-2 ( BA). 5. The magnitude B of the magnetic field in the interior of a solenoid depends on the solenoid's current i and its number n of turns per unit length, according to Eq. 29-23 (B=Hin). 20000 Axis Figure A coil Cis located inside a solenoid S, which carries current i.

KEY IDEAS The long solenoid S shown (in cross section) in Fig. 30-3 has 220 turns/cm and carries a current i 1.5 A; its diameter D is 3.2 cm. At its center we place a 130-turn closely packed coil C of diameter d 2.1 cm. The current in the solehoid is reduced to zero at a steady rate in 25 ms. What is the magni- tude of the emf that is induced in coil C while the current in the solenoid is changing? 1. Because it is located in the interior of the solenoid, coil C lies within the magnetic field produced by current i in the solenoid; thus, there is a magnetic flux , through coil C. 2. Because current i decreases, flux , also decreases, 3. As Pn decreases, emf & is induced in coil C. 4. The flux through each turn of coil C depends on the area A and orientation of that turn in the solenoid's magnetic field B.Because B is uniform and directed perpendicular to area A, the flux is given by Eq. 30-2 ( BA). 5. The magnitude B of the magnetic field in the interior of a solenoid depends on the solenoid's current i and its number n of turns per unit length, according to Eq. 29-23 (B=Hin). 20000 Axis Figure A coil Cis located inside a solenoid S, which carries current i.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 25P

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