Processing math: 100%
Kelvinov most, izvodjenje
(%i1)
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vb: R2 / (R1 + R2) * E; |
(%o1)E⋅R2R2+R1
(%i2)
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va: v2 + R2 / (R1 + R2) * (v1 - v2); |
(%o2)(v1−v2)⋅R2R2+R1+v2
(%o3)v2⋅R1+v1⋅R2R2+R1
(%i4)
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v2: R4 / (R4 + Rz + R3) * E; |
(%o4)E⋅R4R4+R3+Rz
(%i5)
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v1: (R4 + Rz) / (R4 + Rz + R3) * E; |
(%o5)E⋅(Rz+R4)R4+R3+Rz
(%o6)v2⋅R1+v1⋅R2R2+R1
(%o7)E⋅R1⋅R4R4+R3+Rz+E⋅R2⋅(Rz+R4)R4+R3+RzR2+R1
(%o8)Rz⋅E⋅R2+(E⋅R2+E⋅R1)⋅R4(R1+R2)⋅R4+(R1+R2)⋅R3+Rz⋅R2+Rz⋅R1
(%o9)E⋅(Rz⋅R2+R1⋅R4+R2⋅R4)(R2+R1)⋅(R4+R3+Rz)
(%o10)E⋅(Rz⋅R2+R1⋅R4+R2⋅R4)(R2+R1)⋅(R4+R3+Rz)−E⋅R2R2+R1
(%o11)E⋅R1⋅R4−E⋅R2⋅R3(R1+R2)⋅R4+(R1+R2)⋅R3+Rz⋅R2+Rz⋅R1
(%o12)E⋅(R1⋅R4−R2⋅R3)(R2+R1)⋅(R4+R3+Rz)
(%o13)E⋅(R1⋅R4−R2⋅R3)
(%i14)
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Rx: solve(ne, R4); |
(%o14)[R4=R2⋅R3R1]
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