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`

Step-by-step 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`