Question

Define the resultant resistance of a resistor series

Answer 1

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The combined resistance of a number of resistance connected in series is calculated by using the law of combination of resistances in series.

According to law of combination of series, the combined resistance of any number of resistances connected in series is equal to the sum of the individual resistances.

Derivation:

Let us consider two resistances R1 and R2 connected in series.

A battery of V volts has been applied to the ends of this series connection.

Let us assume the potential difference across resistance R1 is V1 and R2 be V2 .

Let V be the applied voltage.

So, the potential difference across the two resistance will be :

V=V1+V2

by ohm's law

V=IR------(equation 1 )

Since same current flows I, flows through the circuit when resistors are connected in series:

I=I1=I2

By applying Ohm's separately to both the resistances we get :

V1=I xR1

V2=I X R2

now by substituting the values of V1 and V2 in equation 1 we get,

IxR=IxR1+IxR2

IxR=I[R1+R2]

cancelling I from both the sides , we get

R=R1+R2

Hence derived.

Answer 2

Answer:

The same current flows through each resistor in series.

Individual resistors in series do not get the total source voltage, but divide it.

The total resistance in a series circuit is equal to the sum of the individual resistances:  RN(series)=R1+R2+R3+…+RN.

Resistors in Series

Resistors are in series whenever the flow of charge, or the current, must flow through Resistors in Series

The total resistance in the circuit with resistors connected in series is equal to the sum of the individual resistances.gh components sequentially.