Circular conductor with changing T effecting power and magnetic field

In summary, when they heat the wire to a higher temperature, the current and the magnetic field decrease.
  • #1
Helmholtz
19
0

Homework Statement



When we keep a circular copper (ohmic) conductor at a constant temperature T_1, thermal energy is produced along it at a rate P_1 and the magnetic field at its center has magnitude B_1. Then, we heat the conductor to a higher constant temperature T_2 (i.e. T_2>T_1). At temperature T_2, let P_2 and B_2 be the rate of dissipation of energy and the magnitude of the magnetic field at its center respectively. Which of the following is TRUE, if ALL other factors remain the same?

(A) It holds that B_1<B_2 and P_2=P_1.
(B) It holds that B_1>B_2 and P_2<P_1.
(C) It holds that B_1=B_2 and P_2=P_1.
(D) It holds that B_1<B_2 and P_2>P_1.
(E) It holds that B_1=B_2 and P_2>P_1.

Homework Equations



Not really sure

The Attempt at a Solution



Looking for a starting point
 
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  • #2
Helmholtz said:

Homework Statement



When we keep a circular copper (ohmic) conductor at a constant temperature T_1, thermal energy is produced along it at a rate P_1 and the magnetic field at its center has magnitude B_1. Then, we heat the conductor to a higher constant temperature T_2 (i.e. T_2>T_1). At temperature T_2, let P_2 and B_2 be the rate of dissipation of energy and the magnitude of the magnetic field at its center respectively. Which of the following is TRUE, if ALL other factors remain the same?

(A) It holds that B_1<B_2 and P_2=P_1.
(B) It holds that B_1>B_2 and P_2<P_1.
(C) It holds that B_1=B_2 and P_2=P_1.
(D) It holds that B_1<B_2 and P_2>P_1.
(E) It holds that B_1=B_2 and P_2>P_1.

Homework Equations



Not really sure

The Attempt at a Solution



Looking for a starting point

You really need to show some effort when posting a question here. At least in your other threads so far, you've shown a bit of effort. Normally this thread would get deleted with a warning, but instead I'll ask a question to try to get you started.

What is the equation for the conductivity of metal versus temperature? That should be enough of a hint to allow you to solve this question.
 
  • #3
BTW, do they specify *how* they are heating the wire? Is it connected to a constant voltage source to produce the current that makes the B field?
 

Related to Circular conductor with changing T effecting power and magnetic field

1. How does a circular conductor with changing T affect power and magnetic field?

When a circular conductor with changing T, or time, is subjected to a changing magnetic field, it creates an electric field within the conductor. This electric field then induces a current to flow through the conductor, which in turn generates a magnetic field. This interaction between the changing magnetic field and the induced current is what affects the power and magnetic field of the conductor.

2. What is the significance of a circular conductor with changing T in electricity and magnetism?

The phenomenon of a circular conductor with changing T affecting power and magnetic field is one of the fundamental principles in electromagnetism. It explains the relationship between electricity and magnetism and is used to understand and design various devices such as generators, transformers, and motors.

3. How does the direction of the changing magnetic field affect the circular conductor?

The direction of the changing magnetic field relative to the circular conductor determines the direction of the induced current. This, in turn, affects the direction of the magnetic field generated by the induced current. The direction of both the magnetic field and the induced current will be perpendicular to the direction of the changing magnetic field.

4. What is the difference between a circular conductor with changing T and a straight conductor with changing T?

In a straight conductor with changing T, the induced current and magnetic field will be in the same direction along the length of the conductor. However, in a circular conductor, the induced current and magnetic field will be perpendicular to each other and to the direction of the changing magnetic field. This is due to the circular path of the induced current in the circular conductor.

5. Can a circular conductor with changing T be used to generate electricity?

Yes, a circular conductor with changing T can be used to generate electricity through electromagnetic induction. As the changing magnetic field induces a current in the conductor, this current can be harnessed to power electrical devices. This is the principle behind generators, which use circular conductors and rotating magnets to generate electricity.

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