Inductor in simple circuit w/ graph Problem Help

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SUMMARY

The discussion centers on a physics homework problem involving an inductor with 26 turns and a 16 V battery. The key equations include L = flux/current and emf = L|di/dt|, with a magnetic flux versus current graph indicating a constant slope of 2E-4 H. The main question is to determine the rate of change of current (di/dt) at t = 1.9L after the switch is closed. The participant expresses confusion about interpreting the graph and calculating the flux per turn.

PREREQUISITES
  • Understanding of inductors and their properties
  • Familiarity with electromagnetic concepts such as magnetic flux
  • Knowledge of basic circuit components (battery, resistor, switch)
  • Ability to interpret graphs in the context of physics
NEXT STEPS
  • Study the relationship between magnetic flux and current in inductors
  • Learn how to apply the formula emf = L|di/dt| in practical scenarios
  • Review graph interpretation techniques specific to physics problems
  • Explore the concept of inductance and its calculation in circuits
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone seeking to understand inductor behavior in electrical circuits.

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Homework Statement


In Figure 30-63, the inductor has 26 turns and the ideal battery has an emf of 16 V. Figure 30-64 gives the magnetic flux through each turn versus the current i through the inductor. If switch S is closed at time t = 0, at what rate di/dt will the current be changing at t = 1.9L?
Figure 30-63 is a simple circuit with a battery, resistor, switch, and inductor.
Figure 30-64 is a flux vs. current graph, with a constant slope of 2E-4H.


Homework Equations


L= flux/ current
emf = L|di/dt|
emf = |d(flux)/dt|


The Attempt at a Solution


I am rather lost. The graph shows flux per turn over current, but how do I know what the flux of each turn is? The graph is just an increasing slope with seemingly no boundries. Also, isn't the slope just (d(flux)/dt)/(di/dt)? And if so, wouldn't (di/dt) just be 1, or have I forgotten how to read graphs? Thanks for any help.
 
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