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A coil of area A = 0.25 m2 is rotating with angular speed ω = 380 rad/s with the axis of rotation perpendicular to a B = 0.55 T magnetic field. The coil has N = 550 turns. Part (a) Express the maximum emf induced in the loop, ε0, in terms of A, ω, B, and N. Part (b) Calculate the numerical value of ε0 in V.

A coil of area A = 0.25 m2 is rotating with angular speed ω = 380 rad/s with the axis of rotation perpendicular to a B = 0.55 T magnetic field. The coil has N = 550 turns. Part (a) Express the maximum emf induced in the loop, ε0, in terms of A, ω, B, and N. Part (b) Calculate the numerical value of ε0 in V.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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  A coil of area A = 0.25 m2 is rotating with angular speed ω = 380 rad/s with the axis of rotation perpendicular to a B = 0.55 T magnetic field. The coil has N = 550 turns.

 

Part (a)  Express the maximum emf induced in the loop, ε0, in terms of A, ω, B, and N. 
Part (b)  Calculate the numerical value of ε0 in V. 
The image depicts a cylindrical object, possibly a coil, rotating with angular velocity \(\omega\) in a magnetic field \(\vec{B}\). **Key Components:** 1. **Cylindrical Coil:** - Positioned vertically in the center. - Depicted with horizontal line patterns indicating the winding of the coil. 2. **Rotation:** - The coil rotates around its vertical axis, symbolized by a circular arrow on top. - The angular velocity of rotation is represented by the symbol \(\omega\). 3. **Magnetic Field:** - Denoted by \(\vec{B}\), shown as a series of horizontal arrows pointing to the right. - The arrows on both sides of the coil indicate the direction of the magnetic field applied perpendicular to the coil. This setup is commonly used to illustrate principles such as electromagnetic induction, where the rotation of a coil in a magnetic field generates an electromotive force (EMF).
Transcribed Image Text:The image depicts a cylindrical object, possibly a coil, rotating with angular velocity \(\omega\) in a magnetic field \(\vec{B}\). **Key Components:** 1. **Cylindrical Coil:** - Positioned vertically in the center. - Depicted with horizontal line patterns indicating the winding of the coil. 2. **Rotation:** - The coil rotates around its vertical axis, symbolized by a circular arrow on top. - The angular velocity of rotation is represented by the symbol \(\omega\). 3. **Magnetic Field:** - Denoted by \(\vec{B}\), shown as a series of horizontal arrows pointing to the right. - The arrows on both sides of the coil indicate the direction of the magnetic field applied perpendicular to the coil. This setup is commonly used to illustrate principles such as electromagnetic induction, where the rotation of a coil in a magnetic field generates an electromotive force (EMF).
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