Emf of a single loop wire around a solenoid

[imatreyu]

Sorry, the title is wrong. Should be "magnetic flux" of a single loop wire around a solenoid.

Homework Statement

A solenoid 4 cm in diameter and 20 cm in length has 250 turns and carries a current of 15 A. It is surrounded by a loop of wire 10 cm in diameter. The loop is positioned perpendicular to and centered on the axis of the solenoid. Find the magnetic flux through the loop of wire. (The field outside of the solenoid is small enough to be negligible.)

Homework Equations

E= N*A*B*w*sinwt ?

The Attempt at a Solution

I don't know where to start...at all. How is there even an emf in the loop if the field around the solenoid is negligible?

 

[ideasrule]

There's no EMF, but the question is asking for the flux. What's the definition of flux?

 

[imatreyu]

flux is BAcostheta.I'm confused on what to use for B. . .since there's no field created by the solenoid.

 

[Caramon]

Are you sure the solenoid doesn't create a magnetic field?

 

[imatreyu]

Actually. . . if someone could check my work:

B= 4pi x 10^-7 * 1400 turns * 15 A
= .0264 T

flux = BA cos theta
=.0264 T * (.0025 pi m^2)
=2.0735 x 10^-4 T*m^2

Answer = 2.0735 x 10^-4 T*m^2