Question

g a circular area with a radius of cm lies in the plane. What is the magnitude of 0.250 T in the

Answer 1

Complete Question

A circular area with a radius of 6.60 cm lies in the xy-plane. What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.250 T oriented in the following ways?

(a) in the +z-direction

Wb

(b) at an angle of 54

Answer:

a

$\phi = 0.00342 \ Wb$

b

$\phi = 0.00201 \ Wb$

Explanation:

From the question we are told that

   The  radius is  $r = 6.60 \ cm = 0.066 \ m$

    The magnitude of the magnetic field is $B = 0.250 \ T$

Generally the cross -sectional area is mathematically represented as

     $A = \pi r^2$

     $A = 3.142 * (0.066)^2$

     $A = 0.01369 \ m^2$

Generally  when the magnetic field is oriented in the +z-direction the magnetic flux is mathematically represented as

      $\phi = B* A cos(0)$

=>    $\phi = 0.01369 * 0.250 * cos (0)$

=>     $\phi = 0.00342 \ Wb$

  Now when the magnetic field is oriented  at an angle of 54°  the magnetic flux is mathematically represented as

      $\phi = B* A cos(54)$

      $\phi = 0.01369 * 0.250 * cos (54)$

     $\phi = 0.00201 \ Wb$