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A circular loop of radius 11.7 cm is placed in a uniform magnetic field. (a) If the field is directed perpendicular to the plane of the loop and the magnetic flux through the loop is 8.60 10-3 T · m2, what is the strength of the magnetic field?

User Sparkette
by
8.3k points

1 Answer

2 votes

Answer:

Magnetic field, B = 0.199 T

Step-by-step explanation:

It is given that,

Radius of circular loop, r = 11.7 cm = 0.117 m

Magnetic flux through the loop,
\phi=8.6* 10^(-3)\ T/m^2

The magnetic flux linked through the loop is :


\phi=B.A


\phi=BA\ cos\theta

Here,
\theta=0


B=(\phi)/(A)

or


B=(\phi)/(\pi r^2)


B=(8.6* 10^(-3))/(\pi (0.117 )^2)

B = 0.199 T

So, the strength of the magnetic field is 0.199 T. Hence, this is the required solution.

User Argentpepper
by
8.4k points
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