why is more electrical energy consumed by an electric heater if the length of its heating element is reduced?

Asked by snigdhaa138_461 | 11th Sep, 2010, 08:59: PM

Expert Answer:

Amount of heat produced per unit time by an electrical heater is given by:
Q = I2R.
If the length of the heating element is reduced, R decreases. (since R = ρl/A).
To give the same amount of heating Q, I has to be increased.
This increase in I causes a greater consumption of the electrical energy.
(V = IR, R = resistance of supply. V = supply voltage).

Answered by  | 13th Sep, 2010, 09:57: PM

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