Calculate total current from voltage?

Hi, can someone help me with problem 3.4? How do I get 7/2b?

the area is a*b

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poseidon42
8 months ago

Für den Gesamtstrom musst du J über die durchflossene orientierte Querschnittsfläche integrieren. Es gilt:

I = int[A]{ J dA }

Es folgt hier:

I = int[0, a][0, b]{ (3 + y/b)*k0*U/L dydx } = a*k0*(U/L)*{(3 + b/b)²*b*0,5 – (3 + 0/b)²*b*0,5}

–> I = a*k0*(U/L)*(7b)/2

die gesuchte Stromstärke …

poseidon42
8 months ago
Reply to  poseidon42

The simple formula I = J*A is no longer valid here, since J is not constant over the entire cross-sectional area, as it is determined by a dependence on y. Therefore, the more general formula must be used here.