Answer :

Let the current be I amperes and the battery be of strength V volts. Let the combined resistance of the three resistors be R ohms.

Therefore, according to Ohm's law, we have

V= IR -----(i)

We know that when the resistors are connected in series, the current is the same in all the resistors. Therefore

V= V1 +V2+ V3 ------------------ (ii)

Let the current flowing through the whole circuit is I, and the equivalent resistance be R.

According to ohm's law


V1= IR1 -------- (iii)

V2= IR2-------- (iv)

V3= IR3 ------ (v)

By using eq (i),(ii),(iii) ,(iv) and (v) we get

IR= IR1+ IR2+ IR3

R= R1+ R2+ R3

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