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EMF problem - Current in Coil

  • Thread starter ttiger2k7
  • Start date
58
0
[SOLVED] EMF problem - Current in Coil

1. Homework Statement

A small square coil is located inside an ideal solenoid at the center with its plane oriented perpendicular to the axis of the solenoid. The resistance of this coil is 2.00 [tex]\Omega[/tex] and each side is 4.00 cm long. The solenoid has 125 windings per centimeter of length. If the current in the solenoid is increasing at a constant rate of 1.50 A/s, the current in the square coil is:

a) steady at 18.8 [tex]\mu A[/tex]
b) initially equal at 18.8 [tex]\mu A[/tex] but is increasing
c) increasing at 1.50 A/s
d) decreasing at 1.50 A/s
e) zero

2. Homework Equations
[tex]\epsilon=\frac{d\Phi_{B}}{dt}[/tex]

[tex]
\Phi_{B}=BA
[/tex]


3. The Attempt at a Solution

First, I plugged in what I know for magnetic flux:

[tex]\Phi_{B}=BA=B(.04 m^{2})[/tex]

Then I used that information to plug into the induced emf formula:

And since

[tex]B=\frac{N}{L}*i*\mu_{0}[/tex]

Then

[tex]\epsilon=\left|.04 m^{2}*\frac{N}{L}*\mu_{0}*\frac{di}{dt}\right|[/tex]

where
[tex]\frac{di}{dt}[/tex] is 1.5 A/S
N = (125 *.04 m) = 5

**

My question is, am I going about this the right way? And if so, How do I find L and how can I use that to eventually get to the induced current?
 

Answers and Replies

rock.freak667
Homework Helper
6,230
31
Well [itex]\frac{N}{L}[/itex] is the number of turns per unit length. Which is given in the question. (Just convert the units)

When you get the induced emf, use V=IR to find the induced current...
 
58
0
Okay. (I thought L was inductance). I got a value, but how do I know if its increasing/decreasing, or steady?
 
Last edited:

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