Square Conducting Ring - Electrodynamics Question

[QuantumJG]

Homework Statement

Ok I'm going through last year's practice exam for electrodynamics and I'm stuck on a particular problem. For problem statement see attachment.

q5a part i is fine but I'm confused with the other parts.

Homework Equations

$$\Lambda_{\nu}^{\mu}=\left[\begin{array}{cccc} \gamma & -\beta\gamma & 0 & 0\\ -\beta\gamma & \gamma & 0 & 0\\ 0 & 0 & 1 & 0\\ 0 & 0 & 0 & 1\end{array}\right],\: j^{\mu}=\left(c\rho,\mathbf{j}\right)$$

The Attempt at a Solution

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[mark726]

Hi there,

I understand that you are having trouble with the other parts of problem 5a. Can you provide more specific information about which parts you are struggling with? It would also be helpful to see your attempt at a solution so far. From the equations you have provided, it seems like you are working with special relativity and the four-vector notation for current density. Is there a particular concept or calculation that is giving you trouble? Let me know and I will do my best to assist you.