A single-turn rectangular loop with sides 26.5 cm and 8.0 cm has a resistance of 2.12 Ω. It is rotating around the y-axis in a uniform magnetic field of 0.212 T with an angular velocity of w = 21.2 radians/s. (a) Draw a graph of the induced EMF versus time, numerically identifying the maximum and minimum values. You can start the graph anyway you want, the initial condition at t = 0 is arbitrary. (b) What is the maximum power dissipated? (c) If you rotate the loop around the x-axis, is the power required greater, lesser, or the same? Discuss the same question for rotation around the z-axis. ### Diagram Description:The image illustrates a rectangular loop, depicted in a 3D coordinate system, with axes labeled \(x\), \(y\), and \(z\).- **Rectangular Loop (A):** The loop is shown in a plane inclined relative to the axes. It is labeled as \(A\).- **Magnetic Field (\(\vec{B}\)):** A blue vector arrow labeled \(\vec{B}\) points along the \(x\)-axis, representing the direction and orientation of the magnetic field.- **Angular Rotation (\(\omega\)):** An arrow labeled \(\omega\) suggests rotational motion about the \(z\)-axis.This diagram is commonly used in physics to explain concepts related to electromagnetic induction, where a loop rotates in a magnetic field. The interaction between the rotation and magnetic field can induce an electromotive force (EMF) in the loop according to Faraday's Law of Induction.

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Answered: (a) Draw a graph of the induced EMF…

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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A single-turn rectangular loop with sides 26.5 cm and 8.0 cm has a resistance of 2.12 Ω. It is rotating around the y-axis in a uniform magnetic field of 0.212 T with an angular velocity of w = 21.2 radians/s. (a) Draw a graph of the induced EMF versus time, numerically identifying the maximum and minimum values. You can start the graph anyway you want, the initial condition at t = 0 is arbitrary. (b) What is the maximum power dissipated? (c) If you rotate the loop around the x-axis, is the power required greater, lesser, or the same? Discuss the same question for rotation around the z-axis.

### Diagram Description:

The image illustrates a rectangular loop, depicted in a 3D coordinate system, with axes labeled \(x\), \(y\), and \(z\).

- **Rectangular Loop (A):** The loop is shown in a plane inclined relative to the axes. It is labeled as \(A\).

- **Magnetic Field (\(\vec{B}\)):** A blue vector arrow labeled \(\vec{B}\) points along the \(x\)-axis, representing the direction and orientation of the magnetic field.

- **Angular Rotation (\(\omega\)):** An arrow labeled \(\omega\) suggests rotational motion about the \(z\)-axis.

This diagram is commonly used in physics to explain concepts related to electromagnetic induction, where a loop rotates in a magnetic field. The interaction between the rotation and magnetic field can induce an electromotive force (EMF) in the loop according to Faraday's Law of Induction.

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