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Review total electrical resistance for circuit with two resistors in series

step inference rule input feed output step validity (as per SymPy)
1
  • 111981: declare initial expression
  • number of inputs: 0; feeds: 0; outputs: 1
  • Eq.~\\ref{eq:#1} is an initial equation.
  1. 4087145886
    \(V=I R\)
 no validation is available for declarations
2
  • 111984: change two variables in expression
  • number of inputs: 1; feeds: 4; outputs: 1
  • Change variable $#1$ to $#2$ and $#3$ to $#4$ in Eq.~\\ref{eq:#5}; yields Eq.~\\ref{eq:#6}.
  1. 4087145886
    \(V=I R\)
  1. 9830343096
    \(V_1\)
  1. 7774819339
    \(R\)
  1. 9174439158
    \(R_1\)
  1. 2698469612
    \(V\)
  1. 7675171493
    \(V_1=I R_1\)
 list index out of range
3
  • 111984: change two variables in expression
  • number of inputs: 1; feeds: 4; outputs: 1
  • Change variable $#1$ to $#2$ and $#3$ to $#4$ in Eq.~\\ref{eq:#5}; yields Eq.~\\ref{eq:#6}.
  1. 4087145886
    \(V=I R\)
  1. 7497687256
    \(V\)
  1. 1484794622
    \(R_2\)
  1. 5890617067
    \(R\)
  1. 1608399874
    \(V_2\)
  1. 6061695358
    \(V_2=I R_2\)
 list index out of range
4
  • 111981: declare initial expression
  • number of inputs: 0; feeds: 0; outputs: 1
  • Eq.~\\ref{eq:#1} is an initial equation.
  1. 9063568209
    \(V_{\rm total}=V_1 + V_2\)
 no validation is available for declarations
5
  • 111981: declare initial expression
  • number of inputs: 0; feeds: 0; outputs: 1
  • Eq.~\\ref{eq:#1} is an initial equation.
  1. 4939880586
    \(V_{\rm total}=I R_{\rm total}\)
 no validation is available for declarations
6
  • 111246: substitute LHS of three expressions into expression
  • number of inputs: 4; feeds: 0; outputs: 1
  • Substitute LHS of Eq.~\\ref{eq:#1} and LHS of Eq.~\\ref{eq:#2} and LHS of Eq.~\\ref{eq:#3} into Eq.~\\ref{eq:#4}; yields Eq.~\\ref{eq:#5}.
  1. 4939880586
    \(V_{\rm total}=I R_{\rm total}\)
  1. 6061695358
    \(V_2=I R_2\)
  1. 7675171493
    \(V_1=I R_1\)
  1. 9063568209
    \(V_{\rm total}=V_1 + V_2\)
  1. 2715678478
    \(I R_{\rm total}=I R_1 + I R_2\)
 recognized infrule but not yet supported
7
  • 111975: divide both sides by
  • number of inputs: 1; feeds: 1; outputs: 1
  • Divide both sides of Eq.~\\ref{eq:#2} by $#1$; yields Eq.~\\ref{eq:#3}.
  1. 2715678478
    \(I R_{\rm total}=I R_1 + I R_2\)
  1. 7844317489
    \(I\)
  1. 7217021879
    \(R_{\rm total}=R_1 + R_2\)
 valid
8
  • 111341: declare final expression
  • number of inputs: 1; feeds: 0; outputs: 0
  • Eq.~\\ref{eq:#1} is one of the final equations.
  1. 7217021879
    \(R_{\rm total}=R_1 + R_2\)
 no validation is available for declarations


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