What is the equivalent resistance of the circuit?
#R_(AB)=?#
1 Answer
May 30, 2017
Explanation:
- First, we need to make the circuit look easy to understand.
- Since R1, R2, R3 are identical, equal currents flows through them.
- W, H, F points have equal potential.
- Since R4, R5, R6 are identical, equal currents flows through them.
- P, D, G points have equal potential.
- The dots with equal potential were combined with the red colored piece.
- If we connect the resistances of R6, R7, R8, R9, R10, R11, R12 to their respective points, we get the following view.
- By shorting W, H, F points and P, D, G points, the following simple appearance is achieved.
- R1, R2, R3 are connected in parallel.
#" "R/3# - R7, R8, R9, R10, R11, R12 are connected in parallel.
#" "R/6# - R4, R5, R6 are connected in parallel.
#" "R/3#
- Three resistors are connected in series.
#R_("AB")=R/3+R/6+R/3#
