Question

How much resistance must be connected in parallel with a 360 ohm resistor to obtain an equivalent resistance of 120 ohm?

Answer 1

Answer:

Let suppose x resistor should be connected so,

1/120 = x/360

= 3

Answer 2

3 resistance must be connected in parallel to obtain an equivalent resistance of 120 ohms.

Explanation:

• The equivalent resistance in parallel combination is given by :

$\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+...$

• We have, equivalent resistance is 120 ohms. If we connect 2 resistors of 360 ohms, then equivalent will be :

$\dfrac{1}{R}=\dfrac{1}{360}+\dfrac{1}{360}\\\\R=180\ \Omega$

• But if we connect 3 resistors of 360 ohms, then equivalent will be :

$\dfrac{1}{R}=\dfrac{1}{360}+\dfrac{1}{360}+\dfrac{1}{360}\\\\R=120\ \Omega$

Hence, 3 resistance must be connected in parallel to obtain an equivalent resistance of 120 ohms.

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