Calculating change in current in a solenoid

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Homework Statement


A long, thin solenoid has 400 turns per meter and a radius of 2.65 cm. The current in the solenoid is increasing at a uniform rate dI/dt, and the induced electric field at a point near the center of the solenoid and 3.25 cm from its axis is 5.00✕ 10-6 V/m. Calculate dI/dt.

Homework Equations


##B_s = u_onI##
##N\frac{d\phi}{dt}=M\frac{dI}{dt}=\mathcal{EMF}##
##\oint \vec E \cdot d \vec L = \frac{dB}{dt}##

The Attempt at a Solution


I tried solving for ##\frac{dB}{dt}## using the third equation. I ended up with ##E=\frac{r}{2}\frac{dB}{dt}##, and then I plugged in E and r to solve for ##\frac{dB}{dt}##. I wanted to use that to solve for ##\frac{dI}{dt}## in the second equation but I don't know what M is. After that I tried taking the derivative of the first equation to get ##\frac{dB}{dt}=u_on\frac{dI}{dt}## and then solving for ##\frac{dI}{dt}## but I got the wrong answer. If someone could let me know if I'm on the right track I would appreciate it.
 

Answers and Replies

  • #2
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Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

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