How does the configuration of two coils affect voltage readings in a circuit?

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The configuration of two coils affects voltage readings based on their turns and lengths, as well as whether they are ideal or real components. The relationship between the voltages can be expressed as V2 = V1 * N1/N2, similar to a transformer. However, real components introduce resistance that influences the final steady-state current, while ideal components would allow for indefinite current ramp-up. The voltmeter's reading will vary significantly depending on these factors. Understanding these dynamics is crucial for accurate voltage measurement in circuits with coils.
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Homework Statement


given two coils one with N1 rings legnth L1 the other N2 L2, one inside the other
the radius is not given..
N1 is connected to battery V1 and N2 is connected to volt-meter

what will show the volt-meter? (use N1,L1,N2,L2.V1)

Homework Equations



Faraday's law of induction[

The Attempt at a Solution



Me and my friends tried many ways to solve it but
we couldn't agree

if it is like a normal transformer V2=V1*N1/N2

or is it related to length of the coils
 

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Much will depend upon whether these are real components (coils with some resistance in their windings, battery with some internal resistance, etc.) or ideal components.

If they are "real" components, then coil 1 will reach a final steady state current determined by the battery voltage and the resistance in the circuit. If they're ideal, the current will ramp up indefinitely. These two scenarios will present different results on the voltmeter.
 

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