Concept explainers
Chek sour Understanding A closely und coil has a radius of 4.0 cm. 50 turns, and a total ieslstancc of 40 . At what rae must a magnetic field peipendicular lathe face of the coil change En euler to prodice Joule hearing in the cull a a tale of 2.0 mW
To Calculate:
The rate at which magnetic field perpendicular to the face of the coil carrying current changes in order to produce the given Joule heating in the coil.
Answer to Problem 13.1CYU
The rate change of the magnetic field is
Explanation of Solution
Given:
Radius of the coil,
Number of turns,
Total resistance,
Joule heating in the coil that is power,
Formula used:
Power loss in a circuit carrying current is,
Here
Emf produced in a coil is equal to negative of rate change of flux,
Here
Where, n is the number of turns,
From equation(1) current in the coil is given as,
Substituting the value of
And also power
From equation (2) and equation (3), the emf produced in the coil is
So, the rate at which magnetic field is changing is
Substituting the value of
Conclusion:
Thus, the rate at which the magnetic field perpendicular to the face of the coil carrying current should change is
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Chapter 13 Solutions
University Physics Volume 2
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