Question

When n resistor of equal resistance are connected in series effective resistance is

Answer 1

What is the effective resistance?

Resistances in series are added that is

Effective resistance R2=R+R=2R when two equal resistors are connected in series,

Effective resistance R3=R+R+R=3R when three equal resistors are connected in series

⋮

Effective resistance Rn=R+R+R+⋯R(ntimes)=nR when n equal resistors are connected in series.

Similarly,

Effective resistance 1Rn=1R+1R⋯1R=nR when n equal resistors are connected in parallel.

Effective resistance Rn=Rn when n equal resistors are connected in parallel.

Hope it helps.

Answer 2

Answer:

Let The Resistance of Each Resistor is R

Number Of Resistor= n.

For Series Combination, Equivalent Resistance is Simply Addition of Individual Resistance

Hence

Net Resistance= n×R (R1+R2+R3..... Rn)

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