In the figure above, two straight conducting rails form a right angle. A conducting bar in contact with the rails starts at the vertex at time \( t = 0 \) and moves with a constant velocity \( v \) along them. A magnetic field \( B \) is directed out of the page.*NOTE: Express your answers to parts (a) and (b) in terms of the given variables.*(a) Determine the magnitude of the flux through the triangle formed by the rails and bar with respect to time \((\Phi_B(t))\).\[\Phi_B(t) = B \cdot \frac{1}{2} v^2 t^2 \](Incorrect)(b) Determine the magnitude of the emf around the triangle with respect to time \((\mathcal{E})\).\[\mathcal{E} = -B \cdot \frac{1}{2} v^2 t \](Incorrect)**Explanation of Diagram:**The diagram shows two rails forming a right angle with a bar moving along them. The velocity of the bar is denoted by \( \vec{v} \), and the magnetic field \( \vec{B} \) is directed out of the page, represented by dots within the triangle.

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In the figure above, two straight conducting rails form a right angle. A conducting bar in contact with the rails starts at the vertex at time t = 0 and moves with a constant velocity v along them. A magnetic field B is directed out of the page. NOTE: Express your answers to parts (a) and (b) in terms of the given variables. (a) Determine the magnitude of the flux through the triangle formed by the rails and bar with respect to time (ÞÂ(t)). 1 ÞB(t) = B v² t² 2 X (b) Determine the magnitude of the emf around the triangle with respect to time (8). 1/1/11 v² t 2 -B X

In the figure above, two straight conducting rails form a right angle. A conducting bar in contact with the rails starts at the vertex at time t = 0 and moves with a constant velocity v along them. A magnetic field B is directed out of the page. NOTE: Express your answers to parts (a) and (b) in terms of the given variables. (a) Determine the magnitude of the flux through the triangle formed by the rails and bar with respect to time (ÞÂ(t)). 1 ÞB(t) = B v² t² 2 X (b) Determine the magnitude of the emf around the triangle with respect to time (8). 1/1/11 v² t 2 -B X

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

In the figure above, two straight conducting rails form a right angle. A conducting bar in contact with the rails starts at the vertex at time \( t = 0 \) and moves with a constant velocity \( v \) along them. A magnetic field \( B \) is directed out of the page.

*NOTE: Express your answers to parts (a) and (b) in terms of the given variables.*

(a) Determine the magnitude of the flux through the triangle formed by the rails and bar with respect to time \((\Phi_B(t))\).

\[
\Phi_B(t) = B \cdot \frac{1}{2} v^2 t^2
\]

(Incorrect)

(b) Determine the magnitude of the emf around the triangle with respect to time \((\mathcal{E})\).

\[
\mathcal{E} = -B \cdot \frac{1}{2} v^2 t
\]

(Incorrect)

**Explanation of Diagram:**

The diagram shows two rails forming a right angle with a bar moving along them. The velocity of the bar is denoted by \( \vec{v} \), and the magnetic field \( \vec{B} \) is directed out of the page, represented by dots within the triangle.

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