Question 3.7.1: Compute the force on a wire carrying a current i above a fer...
Compute the force on a wire carrying a current i above a ferromagnetic plate as shown in Fig. 3.43a. Assume that the plate has an infinite permeability μ ≈ ∞.

The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.
Learn more on how we answer questions.
We replace the plate by an image current as shown in Fig. 3.43b. The problem reduces to finding the force between two parallel wires carrying a current i and separated by a distance 2h. This was solved in Example 3.2.7 and the force is given by Eq. (3.53) with d = 2h
Eq. (3.53): F = – \frac{μ_{0}I_{1}I_{2}}{4πd}.\hat{y}
F = – \frac{μ_{0}i^{2}}{4πh}\hat{z}. (3.302)
Related Answered Questions
Question: 3.7.3
Verified Answer:
We replace the plate by an image magnet as shown i...
Question: 3.6.4
Verified Answer:
Use spherical coordinates with the sphere oriented...
Question: 3.7.4
Verified Answer:
We replace the plate by an image magnet as shown i...
Question: 3.7.2
Verified Answer:
We replace the plate by an image magnet (Fig. 3.45...
Question: 3.6.3
Verified Answer:
We solve a 2D boundary-value problem. Choose a coo...
Question: 3.6.2
Verified Answer:
This problem constitutes a 2D boundary-value probl...
Question: 3.6.1
Verified Answer:
From symmetry we know that there is no variation i...
Question: 3.5.1
Verified Answer:
We determine the field in the gap first. Choose an...
Question: 3.5.3
Verified Answer:
Apply Eq. (3.138) to a path around the circuit and...
Question: 3.5.2
Verified Answer:
We follow the same analysis as in the previous exa...