Quick and easy question about what symbols to use (I already solved the problem)

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SUMMARY

The discussion revolves around the representation of the increasing current in a solenoid for a physics homework problem. The user has correctly identified the relevant equations, including the electromotive force (ε = dΦ/dt) and the relationship between current (I) and resistance (R) (I = ε/R). However, they are struggling to find the appropriate symbols to denote the rate of change of current, specifically seeking a notation that is accepted by a specific online submission platform. The user attempted both ΔI/Δt and dI/dt without success.

PREREQUISITES
  • Understanding of electromagnetism principles, specifically Faraday's Law of Induction.
  • Familiarity with the concepts of electromotive force (EMF) and resistance in electrical circuits.
  • Knowledge of calculus, particularly differentiation as it applies to rates of change.
  • Experience with physics problem-solving, especially in the context of solenoids and magnetic fields.
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  • Research the correct notation for representing the rate of change of current in physics, focusing on accepted symbols in academic contexts.
  • Explore the application of Faraday's Law in various scenarios, particularly in solenoid configurations.
  • Learn about the implications of resistance in circuits with changing currents and how it affects overall circuit behavior.
  • Investigate online platforms for submitting physics problems to understand their specific formatting requirements.
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Students studying electromagnetism, physics educators, and anyone involved in solving or teaching problems related to solenoids and electrical circuits.

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Homework Statement



An aluminum ring of radius r1 and resistance R is placed around the top of a long air-core solenoid with n turns per meter and smaller radius r2 as shown in Figure P31.7. Assume that the axial component of the field produced by the solenoid over the area of the end of the solenoid is half as strong as at the center of the solenoid. Assume that the solenoid produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of ΔI / Δt.

Homework Equations





The Attempt at a Solution



A=pi(r2)2
ε=d\Phi/dt = (1/2)μ0n[pi(r2)2](current in solenoid at increasing rate)
I = ε/R

I solved this problem using numbers using the same equations I have. I don't know what symbols to use to represent "current in solenoid at increasing rate". I tried ΔI / Δt - didnt work. I tried dI/dt - didnt work. I am entering the formula into a website and it has to take it strictly which is really ticking me off because I know how to do these types of problems but don't know "what they are looking for" ... grrr, someone please help me or give me suggestions :)
 
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The current in the solenoid is given by the symbol I. It is increasing at a rate ΔI/Δt.

Hope that helps (if not then please post again to clarify what you are asking).
 

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