Question

Derive equation for the equivalent resistance of series combination​

Answer 1

Answer:

Therefore, when resistances are combined in series, the equivalent resistance is higher than each individual resistance. Some results about series combination : (i) When two or more resistors are connected in series, the total resistance of the combination is equal to the sum of all the individual resistances.

Answer 2

In a series combination , the current remains unchanged and the total potential difference is given by the sum of potential difference across individual resistor .

Now , by Ohm's law ,

V = IR

V ( total) = V1 + V2 + V3

$\rm IR_{eq} = IR_1 + IR_2 + IR_3$

$\rm IR_{eq} = I ( R_1 + R_2 + R_3)$

$\therefore \rm R_{eq} = R_1 + R_2 + R_3$

Hence , the total resistance of a series combination is given by sum of all resistances .

• A series combination is one in which resistors are joined end to end.

• Current remains same .

• Potential difference divides .

• Equivalent resistance is greater than highest resistance .

• It is less convenient as compared to parallel combination .