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Question

A bread toaster and a bulb are connected parallel in a circuit. The toaster produces more heat than the bulb. Which of the following statements is true?


A
Resistance of toaster is greater than resistance of bulb
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B
Resistance of bulb is same as the resistance of toaster
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C
Resistance of bulb is greater than resistance of toaster
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D
Cannot predict
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Solution

The correct option is A Resistance of bulb is greater than resistance of toaster
Since the bread toaster and the bulb are connected in parallel, voltage is same across each of them.
$$V_{toaster} = V_{bulb} ........(i)$$

It is given that toaster produces more heat than the bulb.
$$\implies P_{toaster} > P_{bulb}$$
Using Joule's Law of heating for electrical resistance,
$$\cfrac{V_{toaster}^2}{R_{toaster}} > \cfrac{V_{bulb}^2}{R_{bulb}} ........(ii)$$
From (i) & (ii),
$$R_{bulb} > R_{toaster}$$

Hence, resistance of bulb is greater than that of the toaster.

Physics

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