If the resistor are in parallel,prove also that the equivalent resistance is R where
1/R=1/R1 +1/R2 +1/R3+...1/RN
1
Expert's answer
2021-03-16T11:38:23-0400
Explanations & Calculations
For the array of resistors, the total current by it can be written as follows as the total current is the sum of currents through each branch: resistor.
I=i1+i2+i3+i4+.....+in
As the potential drop across each resistor is equal in a parallel arrangement, individual currents from the above equation can be replaced by i=RV,
I=R1V+R2V+R3V+R4V+.....+RnV
An equivalent resistance R to those array of resistors is such, that it conducts the same total current I having the same potential drop V across it.
Then,
I=RV
Then replacing the total current I from both the equations we get
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