Question

For resistors in series, the equivalent resistance is _____ of their values.

Answer 1

Answer: The correct answer is "the same as the sum".

Explanation:

The expression for the equivalent resistance in the series combination of the circuit is as follows;

$R'=R_{1} +R_{2} +R_{3}$

Here, R' is the equivalent resistance, $R_{1},R_{2},R_{3}$ are the resistances.

The expression for the equivalent resistance in the parallel combination of the circuit is as follows;

$\frac{1}{R'} =\frac{1}{R_{1}} +\frac{1}{R_{2}}+\frac{1}{R_{3}}$

Here, R' is the equivalent resistance, $R_{1},R_{2},R_{3}$ are the resistances.

In the series combination of the circuit, the equivalent resistance is more than the equivalent resistance in the parallel combination of the circuit.

In the series combination of the circuit, the same amount of current flows across the resistance but the voltage is different across the resistances.

Therefore, for resistor in series, the equivalent resistance is the same as the sum.