Thanks for the response. So is my conclusion correct that there is a mistake in the question? I think the idea was that the component ##R_{22}## was supposed to be ##e^{2x}## either way. Though this doesn't seem to be work.
(I) Using the relevant equation I find this to be ## \frac{e^{x}}{2} ##.
(II) Using the relation for the Ricci tensor, I find that the only non-zero components are...
Thank you for your reply
Would the magnetic moment of the solenoid be included and would the induced current be found though the self inductance of the loop and solenoid?
The flux enclosed by the loop consisting of the solenoid, wires and conducting rod at an angle θ is Φ = blBsinθ, then using small angle approximations and differentiating the induced emf can be found.
I know that there must be some torque opposing the motion but am unsure how to proceed.