explain resistance in series with derivation
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According to Ohm's law, the voltage drop, V, across a resistor when a current flows through it is calculated by using the equation V=IR, where I is current in amps (A) and R is the resistance in ohms (Ω). This implies that the total resistance in a series is equal to the sum of the individual resistances.
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Derivation of mathematical expression of resistances in series combination : Let R1, R2 or R3 be the resistances connected in series, I be the current flowing through the circuit, i.e., passing through each resistance, and V1, V2 and V3 be the potential difference across R1, R2 and R3, respectively.
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