1. The problem statement, all variables and given/known data
Res-monster maze. In the following figure, all the resistors have a resistance of ##4.0 \Omega## and all the (ideal) batteries have an emf of ##4.0 V##. What is the current through resistor ##R##?
2. Relevant equations
##\sum V = 0##
##\sum I = 0##
##V = \epsilon##
##V = IR##
3. The attempt at a solution
See the attached image.
When I look at it, I see two loops. The big loop to the left of ##R## and the smaller loop to the right of it. Would I just apply the equations in that sense?
Left loop:
##\epsilon_1 - i_1R - i_2R' - i_3R'' = 0##
Right loop:
##\epsilon_2 - i_4R''' + i_5R = 0##
EDIT: Wait what if I just find an equivalent resistance for that one standout parallel resistor combination?
Res-monster maze. In the following figure, all the resistors have a resistance of ##4.0 \Omega## and all the (ideal) batteries have an emf of ##4.0 V##. What is the current through resistor ##R##?
2. Relevant equations
##\sum V = 0##
##\sum I = 0##
##V = \epsilon##
##V = IR##
3. The attempt at a solution
See the attached image.
When I look at it, I see two loops. The big loop to the left of ##R## and the smaller loop to the right of it. Would I just apply the equations in that sense?
Left loop:
##\epsilon_1 - i_1R - i_2R' - i_3R'' = 0##
Right loop:
##\epsilon_2 - i_4R''' + i_5R = 0##
EDIT: Wait what if I just find an equivalent resistance for that one standout parallel resistor combination?
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