What is the current in the current loop?

In summary, to achieve complete isolation from any magnetic field, a 1.00m diameter current loop with 200 turns of wire must be set up so that the field at the center is equal in magnitude but opposite in direction to the Earth's field. This can be achieved by setting the current to zero or by setting the magnitude and direction of the current in the coil to create a field towards the south while the coil is positioned in an east-west direction. The formula to calculate the current in the coil is I = B(E)*2r/μο*N.
  • #1
ksmith159
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0

Homework Statement


It is important to be completely isolated from any magnetic field, including the Earth's field. A 1.00m diameter current loop with 200 turns of wire is set up so that the field at the center is exactly equal to the Earth's field in magnitude but opposite in direction. What is the current in the current loop?


Homework Equations


I=B2r/mew(naught)


The Attempt at a Solution


The part of the question that states "wire is set up so that the field at the center is exactly equal to the Earth's field in magnitude but opposite in direction" makes me think that we set B=0 rather than using the Earth's magnetic field because opposing fields cancel. If this the the case the current would be zero correct?

If this is not the case then the question is trivial (just plug and chug).

Which way is correct?
 
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  • #2
B = μο*N*I/2r.
Set the coil such that the plane of the coil is in east-west direction. Set the magnitude and the direction of the current in the coil such that the field at the center is equal B(E) and direction is towards south.
 

FAQ: What is the current in the current loop?

1. What is a current loop?

A current loop is a closed path or circuit in which an electric current flows continuously. It is a common configuration used in electrical and electronic systems for transmitting and measuring electrical signals.

2. How does the current flow in a current loop?

The current in a current loop flows in a clockwise or counterclockwise direction depending on the direction of the magnetic field. This is known as the right-hand rule, where the thumb points in the direction of the current and the fingers curl in the direction of the magnetic field.

3. What is the purpose of a current loop?

A current loop is used to transmit and receive signals in a more reliable and noise-resistant manner compared to other wiring configurations. It is commonly used in industrial and process control systems, as well as in communication systems.

4. What is the difference between a current loop and a current circuit?

A current loop is a specific type of current circuit, where the same current flows through all components in the loop. In a current circuit, there may be multiple branches and the current may vary in each branch.

5. How is the current in a current loop controlled?

The current in a current loop can be controlled by adjusting the voltage or resistance in the circuit. By changing the voltage, the current will increase or decrease accordingly. Similarly, changing the resistance will also affect the current flow.

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