Question

A certain resistor dissipates 0.5 W connected to a 3 V potential difference. When connected to a 1 potential difference, this resistor will dissipate​

Answer 1

Your answer will be 1/18 ohms.

• for solution refer to picture attached.

Answer 2

Given :

Power dissipated by resistor , P = 0.5 W .

Potential difference applied , V = 3 V .

To Find :

The power dissipated when applied potential difference is 1 V .

Solution :

We know , power is given by :

$P=\dfrac{V^2}{R}$

Therefore ,

$R=\dfrac{V^2}{P}\\\\R=\dfrac{3^2}{0.5}\ \Omega\\\\R=18\ \Omega$

So , power dissipated when applied potential difference is 1 V is :

$P=\dfrac{V^2}{R}\\\\P=\dfrac{1^2}{18}\ W\\\\P=0.055\ W$

Therefore , connected to a 1 potential difference, this resistor will dissipate​ 0.055 W of power .

Learn More :

Electrostatics

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