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Question

When resistances are connected in series, then the current through the circuit remains same. If we take two resistances R1( more) and R2( less resistance), then there will be more obstruction offered to the flow of electrons in R1 than R2 i.e., the electrons will move more easily in R1 and thus faster in R1 ( due to less collisions) and thus the rate of flow of electrons will be more i.e., more current ( which is defined as the rate of flow of charge ) will flow. Then should the current glowing through the different resistanced in series be different ?

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Solution

if the value of current starts increasing in R1 resistance then it violates the Kirchhoff's law of current which is the net output of current = net input of current
Kirchhoff's first law that deals with the conservation of charge entering and leaving a junction.

Kirchhoff's Voltage Law. Kirchhoff's Voltage Law(KVL) is Kirchhoff's second law that deals with the conservation of energy around a closed circuit path. ... His voltage law states that for a closed loop series path the algebraic sum of all the voltages around any closed loop in a circuit is equal to zero.

according to these two law current and voltage across the resistance are determined.
these laws are not in class 10 syllabus.

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