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A conducting sliding bar (shown in the figure below) moves back and forth between the two parallel lines within the existance of a sinusoidally varying magnetic field B = 2 cos(wt) (mT). The position (x) of the sliding bar is given as; x = 1 – cos(wt) (m) and the two paralel lines are terminated in a resistance R=10 ohms. Find : a) The electromotive force (EMF) and b) Current (î) flowing through the resistance R.

A conducting sliding bar (shown in the figure below) moves back and forth between the two parallel lines within the existance of a sinusoidally varying magnetic field B = 2 cos(wt) (mT). The position (x) of the sliding bar is given as; x = 1 – cos(wt) (m) and the two paralel lines are terminated in a resistance R=10 ohms. Find : a) The electromotive force (EMF) and b) Current (î) flowing through the resistance R.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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lesson:electromagnetics

A conducting sliding bar (shown in the figure below) moves back and forth between the two parallel lines within the existance of a sinusoidally varying magnetic field B = 2 cos(wt) (mT). The position (x) of the sliding bar is given as; x=1- cos(wt) (m) and the two paralel lines are terminated in a resistance R=10 ohms. Find : a) The electromotive force (EMF) and b) Current (i) flowing through the resistance R. x=0.5 m X=2 m
Transcribed Image Text:A conducting sliding bar (shown in the figure below) moves back and forth between the two parallel lines within the existance of a sinusoidally varying magnetic field B = 2 cos(wt) (mT). The position (x) of the sliding bar is given as; x=1- cos(wt) (m) and the two paralel lines are terminated in a resistance R=10 ohms. Find : a) The electromotive force (EMF) and b) Current (i) flowing through the resistance R. x=0.5 m X=2 m
Expert Solution
Step 1

Given data

B=z^ cos ωtx=1-cos ωt

 

Obtain v by differentiating x;

ν=dxdt  =ddt1-cos ωt  =ωsin ωt

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