A small bulb has a resistance of 2 resistance when switched off. It takes up a current of 0.4 A from a source of 4V and then starts glowing. Calculate (i) the resistance of the bulb when it is glowing and a) Elaborate on the reason for the difference in resistance?
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Answer:
The resistance of the bulb when it is glowing is 10 Ω. The resistance increased because of the increase in temperature.
Explanation:
The resistance of the bulb when it is switched off is 2 Ω.
When switched on,
The current through the bulb, I = 0.4 A
The voltage across the bulb, V = 4 V
∴ The resistance of the bulb. R = V/I
R = 4 / 0.4
R = 10 Ω
There is a change in the resistance of the bulb when it is switched on. When switched on, the temperature of the bulb will increase. This will be according to Joule's law (H = I²Rt). When the temperature increases the resistance will also increase.
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