Question

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Answer 1

Answer:

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Explanation:

Voltage drop across R1 is V1=IR1,

across R2 is V2=IR2,

and across R3 is V3=IR3.

The sum of the voltages would equal:

V=V1+V2+V3, based on the conservation of energy and charge.

If we substitute the values for individual voltages, we get:

V = IR1 + IR2 + IR3

or

V= I • (R1 + R2 + R3).........eq1

Now, if we look at the equivalent circuit then we can write

V = I R(s) ........eq2

If we compare both equations, we get

R(s) = R1 + R2 + R3

This implies that the total resistance in a series is equal to the sum of the individual resistances. Therefore, for every circuit with N number of resistors connected in series:

RN(series) = R1+R2+R3+…+RN.