If resistors are connected in series which physical quantity will remain the same in all the resistors?

Resistors are said to be connected in a series pattern if the same amount of current flows through them. Therefore, the result is also true, i.e., if they are connected in series, then the same amount of current flows through them.

Series connection of resistors

If the resistors in a circuit are all connected in series, like the figure given above, then the total resistance of the system is given by the following relation. 

𝑅_{𝑡𝑜𝑡𝑎𝑙} = 𝑅₁ + 𝑅₂ ........... + 𝑅_𝑛 

The total resistance of the system is just the total of individual resistances. 

For example, consider the following sample problem. 

A resistor with an electrical resistance value of 100 𝑜ℎ𝑚𝑠 is connected to another with a resistance value of 200 𝑜ℎ𝑚𝑠. The two resistances are connected in series. What is the total resistance across the system?

Here, 

𝑅₁ = 100 Ω and 𝑅₂ = 200 Ω 

𝑅_{𝑡𝑜𝑡𝑎𝑙} = 𝑅₁ + 𝑅₂ = 100 Ω + 200 Ω = 300 Ω.