How Fast Should the Smaller Solenoid Move to Induce 2.3V in the Larger Solenoid?

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SUMMARY

The discussion centers on calculating the velocity required for a smaller solenoid to induce 2.3V in a larger solenoid. The larger solenoid has a radius of 0.075m and 1200 loops, while the smaller solenoid has a radius of 0.05m and also 1200 loops. The relevant equations include the induced electromotive force (Eind = L(delta I/delta t)) and the inductance formula (L = [(μ0)(N^2)(A)]/l). The lack of length information for the solenoids is identified as a critical gap in solving the problem.

PREREQUISITES
  • Understanding of electromagnetic induction principles
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  • Knowledge of the relationship between current, magnetic fields, and induced voltage
  • Basic proficiency in applying Maxwell's equations in practical scenarios
NEXT STEPS
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aleksxxx
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Homework Statement


Assume the field inside the larger coil (.075m Radius, 1200 loops), reaches the maximum value when the smaller solenoid, (.05m radius, 1200 loops), is halfway inserted. with what constant velocity must the smaller solenoid be inserted to induce 2.3V in the larger solenoid?


Homework Equations



Eind=L(delta I/delta t)

L=[(mu0)(N^2)(A)]/l


The Attempt at a Solution



The problem does not give length of the solenoid, so I am pretty sure the second equation will not work. I can't find any other equations that would seem to help with this problem.

Am i missing something, or would i need more information to do the problem?
In part a we had to solve the length for solenoid "A" so that is would create a magnetic field of .0025T with a current of .13A - which i calculated to be 7.84cm --- but I am not sure if that is going to apply to this part of the problem.

Please point me in the right direction, if i have enough info just given in c, or if I am missing an equation.

thanks
 
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