Emf of a single loop wire around a solenoid

In summary, the conversation discusses finding the magnetic flux through a loop of wire surrounding a solenoid. The solenoid is 4 cm in diameter, 20 cm in length, has 250 turns, and carries a current of 15 A. The loop of wire is 10 cm in diameter, positioned perpendicular to and centered on the axis of the solenoid. After some confusion about the presence of an EMF and the definition of flux, the final solution is calculated to be 2.0735 x 10^-4 T*m^2.
  • #1
imatreyu
82
0
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?
 
Last edited:
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  • #2
There's no EMF, but the question is asking for the flux. What's the definition of flux?
 
  • #3
flux is BAcostheta.I'm confused on what to use for B. . .since there's no field created by the solenoid.
 
  • #4
Are you sure the solenoid doesn't create a magnetic field?
 
  • #5
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
 
Last edited:

1. What is the difference between emf and potential difference?

Emf (electromotive force) is the energy per unit charge that is induced in a circuit, while potential difference is the difference in electric potential between two points in a circuit.

2. How is the emf of a single loop wire around a solenoid calculated?

The emf of a single loop wire around a solenoid can be calculated using the equation: emf = -N * dΦ/dt, where N is the number of turns in the solenoid and dΦ/dt is the rate of change of magnetic flux through the loop.

3. What factors affect the emf of a single loop wire around a solenoid?

The emf of a single loop wire around a solenoid is affected by the number of turns in the solenoid, the rate of change of magnetic flux, and the resistance of the wire.

4. Can the direction of the emf in a single loop wire around a solenoid be reversed?

Yes, the direction of the emf can be reversed by changing the direction of the magnetic field or by changing the orientation of the loop with respect to the field.

5. What is the purpose of a single loop wire around a solenoid in a circuit?

The purpose of a single loop wire around a solenoid is to induce an emf in the circuit. This can be used to generate electricity or to measure changes in magnetic flux.

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