Home
Class 12
PHYSICS
An electric toaster uses nichrome for it...

An electric toaster uses nichrome for its heating element. When a negligibly small current passes through it. It resistance at room temperature `(27.0^@C)` is found to be `75.3Omega`. When the toaster is connected to a `230 V` supply, the current settles, after a few seconds, to a steady value of `2.68 A`. What is steady temperature of the nichrome element? The temperature coefficient of resistance of nichrome averaged over the temperature range involved , `1.70xx10^-4C^-1`

Text Solution

Verified by Experts

Given `T_0=27^@C` and `R_0=75.3Omega`
At temperature `T, R_T=V_T/i_T (R=V/i)`
`=230/268=85.82Omega`
Using the equation `R_T=R_0[1+alpha(T-T_0)]`
We have `85.82=75.3[1+(1.70xx10^-4)(T-27)]`
Solving this equation we get `T~~850^@C`
Thus, the steady temperature of the nichrome element is `850^@C`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CURRENT ELECTRICITY

    DC PANDEY|Exercise Example Type 1|2 Videos

  • CURRENT ELECTRICITY

    DC PANDEY|Exercise Example Type 2|1 Videos

  • COMMUNICATION SYSTEM

    DC PANDEY|Exercise Subjective|11 Videos

  • ELECTROMAGNETIC INDUCTION

    DC PANDEY|Exercise Medical entrances gallery|25 Videos

Similar Questions

Explore conceptually related problems

An electric toaster uses nichrome for its heating element. When a negligibly small current passes through it, its resistance at 27 ^(@)C is found to be 73.2Omega . When the toaster is connected to a 230 V supply, the current settles after a few seconds, to a steady value of 2.748 A. What is the steady temperature of the nichrome element? The temperature coefficient of resistance of nichrome averaged over the temperature range involved, is 1.70xx10^(-4)""^(@)C^(-1)

The heating element of an electirc toaster is of nichrome. When a vary small current passes through it, at room temperrature 27^@C , its resistance is 75.3Omega . When toaster is connected to a 230V supply, the current settles after a few seconds to a steady value of 2.68A. What is the steady temperature of nichrome element? The temperature coefficient of resistance of nichrome over averged temperature range is 1.7xx10^(-4)^(@)C^(-1) .

Knowledge Check

  • A heating element using nichrome connected to a 230 V supply draws a initial current of 3.2 A which settles after a few seconds to a steady value of 2.8 A. What is the steady temperature of the heating elemtn if the room temperature is 27.0^(@)C ? Temperature coefficient of resistance of nichrome of nichrome averaged over the temperature range involved is 70xx10^(-4)C^(-1)

    A
    `680^(@)C`
    B
    `51^(@)C`
    C
    `920^(@)C`
    D
    `750^(@)C`

  • The resistance of wire in a heater at roo temeperature is 65Oemga . When the heater is connected to a 220V supply the current settles after a few seconds to 2.8A. What is the steady temperature of the wire. (Temperature coefficient of resistance alpha=1.70xx10^(-4) ^(@).C^(-) )

    A
    `955^(@)C`
    B
    `1055^(@)C`
    C
    `1155^(@)C`
    D
    `1258^(@)C`

  • When electric current passes through any conductor, then its temperature is

    A
    Increases
    B
    decreases
    C
    remains same
    D
    depends upon conductor

    • Similar Questions

    Explore conceptually related problems

    A heating element using nichrome connected to a 230 V supply draws an initial current of 3.2 A which settles after a few seconds to a steady value of 2.8 A. What is the steady temperature of the heating element if the room temperature is 27^(@)C ? Temperature coefficient of resistance of nichrome averaged over the temperature range involved is 1.70xx10^(-4) C^(-1) .

    A heating element using nichrome connected to a 115 V supply draws a current of 1.6A which settles after a few seconds to a steady value of 1.4 A. What is the steady temperature of the heating element if the room temperature is 30^@C ? Temperature coefficient of resistance of nichrome averaged over the temperature range involved is 1.7xx10^(-4).^(@)C^(-1) .

    A heating element using nichrome connected to a 230 V supply draws an initial current of 3.2 A which settles after a few seconds to a steady value of 2.8 A. What is the steady temperature of the heating element if the room temperature is 27.0^@C ? Temperature coefficient of resistance of nichrome averaged over the temperature range involved is 1.70 xx 10^(-4) ""^@C^(-1) .

    A nichrome heating element connected to a 200 V supply draws an intial current of 2.2 A which settles down after a few seconds to a steady value of 2.0 A. Find the steady temperature of the heating element. The room temperature is 30^(@)C and the average temperature coefficient of resistance of nichrome is 1.7xx10^(-4) "per"^(@)C .

    Out of copper and nichrome, which has the larger value of temperature coefficient of resistance?

    Home
    Profile