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Magnetic Flux Given Two Different Areas
If there are two concentric Solenoids with only the inner one carrying a current, what is the flux through the face of the larger solenoid?
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Recall that the equation for flux is ∮A B⃗⋅ n̂ dA. Further recall that the B⃗ for a solenoid is constant within the solenoid and zero outside. Look at evaluating this integral across the area of the larger solenoid cross-sectional face. Where is B⃗ zero? Where is it not zero? How does this affect the integral?
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