Question

A combination of two identical resistors connected in series has an equivalent resistance of 10. ohms. What is the equivalent resistance of the combination of these same two
resistors when connected in parallel?

Answer 1

Answer:

2.5

Explanation:

Answer 2

The equivalent resistance of the combination of the two same

resistors when connected in parallel is 0.4 ohms.

What is series and parallel connection of resistor?

There are two types of connection of resistor-

• In the series connection of resistor, the resistor are connected end to end in the circuit. The equivalent resistance for series connection of resistor is calculated with the following formula.

          $R_{eq}=R_1+R_2+....R_n$

• In the Parallel connection of resistor, the resistor are connected parallel in the circuit and the terminals of all resistor is connected to same nodes. The equivalent resistance for parallel connection of resistor is calculated with the following formula.

        $R_{eq}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+....\dfrac{1}{R_n}$

A combination of two identical resistors connected in series has an equivalent resistance of 10 ohms. As these two resistor has the same resistance, say (R). Thus,

$R_{eq}=R+R10=2R\\R=5\rm\; ohm$

Equivalent resistance, when connected in parallel, is,

$R_{eq}=\dfrac{1}{R}+\dfrac{1}{R}\\R_{eq}=\dfrac{1}{5}+\dfrac{1}{5}\\R_{eq}=\dfrac{2}{5}\\R_{eq}=0.4\rm\; ohm$

The equivalent resistance of the combination of the two same

resistors when connected in parallel is 0.4 ohms.

Learn more about the series and parallel connection of resistor here;

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