Earth magnetic at a certain point is 0.70 gauss this field is to be an...
Calculating the Required Current to Annul Earth's Magnetic Field
To annul the Earth's magnetic field at a certain point, a current needs to be passed through a circular conducting loop. We can calculate the required current by following these steps:
Determine the Strength of Earth's Magnetic Field
- Given that the Earth's magnetic field at the point is 0.70 gauss.
Calculate the Magnetic Field Inside the Loop
- Use the formula for the magnetic field inside a circular loop: B = (μ0 * I * R^2) / (2 * (R^2 + x^2)^(3/2)), where B is the magnetic field, μ0 is the permeability of free space, I is the current, R is the radius of the loop, and x is the distance from the center of the loop to the point.
- Since we want to annul the Earth's magnetic field, the magnetic field inside the loop should be equal in magnitude but opposite in direction to the Earth's magnetic field.
Solve for the Required Current
- Set the magnetic field inside the loop equal to the Earth's magnetic field and solve for the current I.
- Substituting the values, we can find the required current to annul the Earth's magnetic field at the given point.
By following these steps, you can determine the required current to annul Earth's magnetic field at a specific location using a circular conducting loop.