10th Class Science Electricity and Circuits Question Bank Electricity

  • question_answer
    Two identical heaters, each marked 1000 watt, 250 volt are placed in parallel with each other and connected to a 250 volt supply. Their combined rate of heating will be

    A)  250W

    B)  500W

    C)  1000W

    D)  2000W  

    Correct Answer: D

    Solution :

     Resistance of each heater\[=\frac{{{V}^{2}}}{W}\]                                                  \[=\frac{250\times 250}{1000}=\frac{250}{4}\Omega \] Equivalent resistance of the combination of heater (connected in parallel).                 \[R'=\frac{{{R}_{1}}{{R}_{2}}}{{{R}_{1}}+{{R}_{2}}}\]                    \[=\frac{250\times 250}{4\times 4\left( \frac{250}{4}+\frac{250}{4} \right)}=\frac{250}{8}\Omega \] \[\therefore \]Rate of heating\[=\frac{{{V}^{2}}}{R}=\frac{250\times 250\times 8}{250}\]                    \[=\mathbf{2000}\]watt


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