Voltage Induced in Coil: Hall Effect

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SUMMARY

The discussion focuses on calculating the voltage induced in a coil using the Hall Effect at a specific time, t = 3 seconds. The current, defined by the equation i = 3t^3 - 5t, results in a value of 66 amperes at t = 3 seconds. The area of the coil is given as A = 0.016 m². To find the induced voltage, the equation V = -d(φ)/dt is utilized, requiring the derivation of the magnetic flux (φ) in terms of the current (i).

PREREQUISITES
  • Understanding of the Hall Effect in electromagnetism
  • Familiarity with calculus, specifically differentiation
  • Knowledge of magnetic flux and its relationship to current
  • Basic concepts of electromotive force (EMF) and induced voltage
NEXT STEPS
  • Study the principles of the Hall Effect in detail
  • Learn how to derive magnetic flux equations from current
  • Explore the relationship between induced voltage and changing magnetic fields
  • Investigate applications of the Hall Effect in sensors and measurement devices
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Students in physics or electrical engineering, educators teaching electromagnetism, and professionals working with electromagnetic devices or sensors.

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Homework Statement

[STRIKE][STRIKE][/STRIKE][/STRIKE]

http://img697.imageshack.us/img697/2317/img11l.jpg

(a = 0.10 m and b = 0.16 m)

i=3t^3 - 5t

(i - ampéres t - seconds)

Determine the voltage induced in the coil to the instant t = 3 sec. well as the current direction.


Homework Equations



Hall efect

The Attempt at a Solution


A= 0.016 m^2
For t= 3 sec ... i=3*3^3 - 5*3 ...i= 66 ampéres
 
Last edited by a moderator:
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V=-d(phi)/dt, so first find an equation for phi in terms of i. Deriving that equation with respect to time will get you d(phi)/dt.
 

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