### Problem DescriptionA thin, 46.0 cm long metal bar with a mass of 750 g rests on, but is not attached to, two metallic supports in a uniform magnetic field with a magnitude of 0.440 T, as shown in the diagram. A battery and a resistor of resistance 24.0 Ω are connected in series to the supports.#### Tasksa) **Determine the Largest Battery Voltage** - Calculate the maximum voltage the battery can have without breaking the circuit at the supports.b) **Calculate the Initial Acceleration** - Given the battery voltage from part (a), if the resistor suddenly gets partially short-circuited with its resistance dropping to 2.00 Ω, find the initial acceleration of the bar.### Diagram ExplanationThe diagram represents an electrical circuit where a battery with voltage \( V \) and a resistor \( R \) are connected in series with a metal bar resting between two supports. The magnetic field \( \vec{B} \) is uniform and directed perpendicular to the plane in which the bar can move. The circuit completes through the supports.- The metal bar acts as a conductor in the magnetic field, generating a Lorentz force when current flows through it.- The setup illustrates electromagnetic induction principles, where changing magnetic fields can induce electrical currents and forces on the conductor.

Answered: Image /qna-images/answer/63ee851c-5ec5-41f5-a95c-c6604ec5ba4f.jpg

A thin, 46.0 cmcm long metal bar with mass 750 g rests on, but is not attached to, two metallic supports in a uniform magnetic field with a magnitude of 0.440 T, as shown in. A battery and a resistor of resistance 24.0 2 are connected in series to the supports. a) What is the largest voltage the battery can have without breaking the circuit at the supports? X X X R ww B b) The battery voltage has the maximum value calculated in part (a). With such battery, if the resistor suddenly gets partially short-circuited, decreasing its resistance to 2.00 S2, find the initial acceleration of the bar. X

A thin, 46.0 cmcm long metal bar with mass 750 g rests on, but is not attached to, two metallic supports in a uniform magnetic field with a magnitude of 0.440 T, as shown in. A battery and a resistor of resistance 24.0 2 are connected in series to the supports. a) What is the largest voltage the battery can have without breaking the circuit at the supports? X X X R ww B b) The battery voltage has the maximum value calculated in part (a). With such battery, if the resistor suddenly gets partially short-circuited, decreasing its resistance to 2.00 S2, find the initial acceleration of the bar. 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

### Problem Description

A thin, 46.0 cm long metal bar with a mass of 750 g rests on, but is not attached to, two metallic supports in a uniform magnetic field with a magnitude of 0.440 T, as shown in the diagram. A battery and a resistor of resistance 24.0 Ω are connected in series to the supports.

#### Tasks

a) **Determine the Largest Battery Voltage**
- Calculate the maximum voltage the battery can have without breaking the circuit at the supports.

b) **Calculate the Initial Acceleration**
- Given the battery voltage from part (a), if the resistor suddenly gets partially short-circuited with its resistance dropping to 2.00 Ω, find the initial acceleration of the bar.

### Diagram Explanation

The diagram represents an electrical circuit where a battery with voltage \( V \) and a resistor \( R \) are connected in series with a metal bar resting between two supports. The magnetic field \( \vec{B} \) is uniform and directed perpendicular to the plane in which the bar can move. The circuit completes through the supports.

- The metal bar acts as a conductor in the magnetic field, generating a Lorentz force when current flows through it.
- The setup illustrates electromagnetic induction principles, where changing magnetic fields can induce electrical currents and forces on the conductor.

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