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More electricity needed by a cooker requires a thicker cable than for a table lamp.

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13y ago

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Why the cable to an electric cooker is thicker than the cable to a table light?

Since resistance is inversely proportional to the cross-sectional area of a wire, thicker the wire - lesser the resistance and vice-versa. Now, according to Joule's law of heating, H = I^2 R t; i.e. H (Heat) is directly proportional to the square of I (Current), R(Resistance) and t (time). Whereas, according to Ohm's law, V=IR; i.e. V (Potential difference) is directly proportional to I (Current) and R (Resistance) Comparing both the formulas, we can conclude that H (Heat) needs more Current; I. [H=I^2 R t] Therefore, thicker wire. Hence, the cooker needs a thicker wire while a table light needs a comparatively thinner wire.


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