4.A 75-turn circular loop carries a current of 6.3 kA and produces a magnetic field ofmagnitude 1.3 T at its center. What is the approximate diameter of this loop?7.3 cm15 cm(a)(b)(c)(d)23 cm46 cm

Answered: 4. A 75-turn circular loop carries a…

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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Question

4.
A 75-turn circular loop carries a current of 6.3 kA and produces a magnetic field of
magnitude 1.3 T at its center. What is the approximate diameter of this loop?
7.3 cm
15 cm
(a)
(b)
(c)
(d)
23 cm
46 cm

Expert Solution

Step 1

The magnetic field produced at the center of a current carrying coil is given is

$B = N \frac{μ_{o} I}{2 r} N i s t h e n u m b e r o f t u r n s i n t h e l o o p I i s t h e c u r r e n t t h r o u g h t h e l o o p r i s t h e r a d i u s o f t h e l o o p$

From the given problem,

$N = 75 B = 1.3 T I = 6.3 k A = 6.3 \times 10^{3} A$

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