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Homework Statement
The magnitude of $$B$$ is increasing at $$100T/s$$ and the solenoids (the source of the induced EMF) is infinitely long. I want to find the current through the resistors
The Attempt at a Solution
I basically used the same idea, but I used Mesh's method and I decided to traverse both currents CCW and thus giving me the equations
$$6I_A + 3I_A - 3I_B = -\phi'_{i} = -\pi$$
$$-5I_B - 3I_B + 3I_A = -\phi'_{o} = -2.25\pi$$
Solving the equations http://www.wolframalpha.com/input/?i=RowReduce{{9%2C-3%2C-pi}%2C{3%2C-8%2C-2.25pi}}
I get $$I_A= -0.0623A$$ and $$I_B = 0.860A$$
So this tells me that $$I_A$$ actually travels clockwise? This contradicts the answer key. Also, if the solenoids were not infinitely long, would the flux be through the square circuit because the magnetic field wouldn't then be confined in the solenoid? Why do they only take positive emf in the key?
Thank you very much for reading