A toaster produces more heat than an electric lamp when they are connected in parallel. Which of the two has the greater resistance?

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Solution

Given: a toaster and an electric lamp, such that toaster produces more heat than an electric lamp when they are connected in parallel.
To find which of the two has greater resistance.
Solution:
The light bulb has greater resistance.
Heat produced, $H = \frac{V^{2} t}{R}$
$⟹ H \propto \frac{1}{R}$
Toster produces more heat. Hence it has less resistance.
Bulb produces less heat and therefore it has greater resistance.

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