the equivalent resistance of n resistor each of same resistance when connected in series is R if the same - Science - Electricity

Question

the equivalent resistance of n resistor each of same resistance
when connected in series is R if the same resistance are connected
in parallel, the equivalent resistance will be explain me with
clear steps

Pintu B. · Accepted Answer

Dear Student ,
When n resistors are connected in series and each resistor has
resistance of r ohm then ,the equivalent resistance is ,
R=∑i=1nri=nrNow when the resistors are connected in parallel then the equivalent resistance is ,1R'=∑i=1n1ri=nr⇒R'=rn=rrR=R ∵R=nr
Regards

the equivalent resistance of n resistor each of same resistance when connected in series is R. if the same resistance are connected in parallel, the equivalent resistance will be. explain me with clear steps