An electric toaster has resistance of at room temperature (27°C). The toaster is connected to a 220 V supply. If the current flowing through it reaches 2.75 A, the temperature attained by toaster is around

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Solution

Q.
An electric toaster has resistance of $60 Ω$ at room temperature (27°C). The toaster is connected to a 220 V supply. If the current flowing through it reaches 2.75 A, the temperature attained by toaster is around

(if $α = 2 \times 10^{- 4} / {}^{o}C$ ) [2024]

1 694°C

2 1235°C

3 1694°C

4 1667°C

Ans.
(3)

$R_{n e w} = V / I = 80 Ω$

   $R_{n e w} = R_{o l d} [1 + α ∆ T]$

$80 = 60 [1 + 2 \times 10^{- 4} ∆ T]$

$∆ T = 1666.67$

   $T - 27 = 1666.67$

   $T = 1693.66 = 1694^{o} C$

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