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Notes for this derivation:
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Index  Inference Rule  Input latex  Feeds latex  Output latex  step validity  dimension check  unit check  notes 

1  declare initial expr 



no validation is available for declarations 
4087145886:

4087145886:


2  change two variables in expr 



valid 
4087145886:
7675171493: 
4087145886:
7675171493: 
I is the same across both resistors 
3  change two variables in expr 



valid 
4087145886:
6061695358: 
4087145886:
6061695358: 

4  declare initial expr 



no validation is available for declarations 
9063568209:

9063568209:

voltage is measured across both resistors 
5  declare initial expr 



no validation is available for declarations 
4939880586:

4939880586:


6  substitute LHS of three expressions into expr 



no check performed 
4939880586:
7675171493: 6061695358: 9063568209: 2715678478: 
4939880586:
7675171493: 6061695358: 9063568209: 2715678478: 

7  divide both sides by 



valid 
2715678478:
7217021879: dimensions are consistent 
2715678478:
7217021879: N/A 

8  declare final expr 



no validation is available for declarations 
7217021879:
dimensions are consistent 
7217021879:
N/A 
symbol ID  category  latex  scope  dimension  name  value  Used in derivations  references  

8721  variable 
V_2
\(V_2\) 
real 

voltage  3  
8257  variable 
V_1
\(V_1\) 
real 

voltage  3  
1908  variable 
R_{\rm total}
\(R_{\rm total}\) 
real 

electrical resistance  9  
3461  variable 
R_2
\(R_2\) 
real 

electrical resistance  10  
4501  variable 
I
\(I\) 
real 

electric current  9  
6599  variable 
V
\(V\) 
real 

voltage  11  
6458  variable 
R
\(R\) 
real 

electrical resistance  6  
4691  variable 
V_{\rm total}
\(V_{\rm total}\) 
real 

voltage  2  
8697  variable 
R_1
\(R_1\) 
real 

electrical resistance  10 