Finding magnitude of magnetic field in a conducting coil

In summary, a conducting coil with 1830 turns and an area of 4.70 x 10^-4 m^2 is connected to a galvanometer in a circuit with a total resistance of 41.0 ohms. When the coil is moved from a region with zero magnetic field to a region with a nonzero magnetic field, the amount of charge induced to flow is 8.87 x 10^-3 C. Using the equations for magnetic flux and electromagnetic force, the magnitude of the magnetic field can be calculated to be ____ T. This type of device is known as a flux meter and is used to measure magnetic field strength.
  • #1
ohgoodness13
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Homework Statement



A conducting coil of 1830 turns is connected to a galvanometer, and the total resistance of the circuit is 41.0 . The area of each turn is 4.70 10-4 m2. This coil is moved from a region where the magnetic field is zero into a region where it is nonzero, the normal to the coil being kept parallel to the magnetic field. The amount of charge that is induced to flow around the circuit is measured to be 8.87 10-3 C. Find the magnitude of the magnetic field. (Such a device can be used to measure the magnetic field strength and is called a flux meter.)

____ T



Homework Equations



Magnetic flux=BAcos(theta)
emf= -N(magnetic flux / time)
B=N(4pie-7)I / (2r)

The Attempt at a Solution



I'm not sure where to start, I have my equations, but it almost seems like I have been given the wrong set of information. Either that or I am missing an equation?
 
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  • #2
Nevermind, I seem to have figured it out
 
  • #3


I would first check the given information and equations to ensure their accuracy and relevance to the problem. The given equations are correct and relevant for finding the magnitude of the magnetic field in a conducting coil. To start, I would use the equation for emf to find the magnetic flux. This can be done by rearranging the equation to solve for magnetic flux, since all other variables are given. Then, I would use the equation for magnetic flux to solve for the magnetic field, using the known values of the number of turns, area, and induced charge. This would give a final answer for the magnitude of the magnetic field in the conducting coil. If the final answer seems unreasonable or does not match with the expected range of values, I would double-check my calculations and equations to ensure accuracy. Additionally, I would consider any other possible factors that could affect the measurement, such as external magnetic fields or circuit resistance.
 

1. What is the purpose of finding the magnitude of magnetic field in a conducting coil?

The purpose of finding the magnitude of magnetic field in a conducting coil is to understand and measure the strength of the magnetic field produced by the coil. This information is important in various applications such as designing electromagnets or studying the behavior of magnetic materials.

2. How is the magnitude of magnetic field in a conducting coil calculated?

The magnitude of magnetic field in a conducting coil can be calculated using the formula B = μ₀NI/L, where B is the magnetic field strength, μ₀ is the permeability of free space, N is the number of turns in the coil, I is the current flowing through the coil, and L is the length of the coil.

3. What factors affect the magnitude of magnetic field in a conducting coil?

The magnitude of magnetic field in a conducting coil is affected by several factors, including the number of turns in the coil, the current flowing through the coil, the length of the coil, and the permeability of the material in the coil. Additionally, external magnetic fields and the shape and orientation of the coil can also impact the magnitude of the magnetic field.

4. How does the magnitude of magnetic field change as current or number of turns in the coil is increased?

The magnitude of magnetic field in a conducting coil is directly proportional to the current flowing through the coil and the number of turns in the coil. As the current or number of turns is increased, the magnetic field also increases. This relationship is known as Ampere's Law and is expressed as B ∝ NI.

5. Can the magnitude of magnetic field in a conducting coil be measured experimentally?

Yes, the magnitude of magnetic field in a conducting coil can be measured experimentally using a magnetic field sensor or a Hall effect probe. These devices can accurately measure the strength of the magnetic field at different points within the coil. This information can then be used to calculate the average magnitude of the magnetic field in the coil.

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