Question

Prove that the power of an electric bulb is inversely proportional to its resistance ​

Answer 1

Explanation:

here's the answer

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Answer 2

Given:

an electric bulb

To Prove:

The Power of an electric bulb is inversely proportional to its resistance

Solution:

We know,

By Ohm's Law:

V = I R  ----------------------------(i)

also,

⇒ P = I² R  -----------------------------(ii)   {P = Power, R = resistance, I = Current}

now putting the value of I from Eqn (i)  to Eqn (ii)

⇒ P = $\frac{V^{2}}{R^{2} } * R$

⇒ P = $\frac{V^{2} }{R}$

now, here if volatge remain constant then Power is inversely proportional  to the resistance.

⇒ P ∝ 1 / R.

Hence, Proved.