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Do "work done by the battery" and "the t...

Do "work done by the battery" and "the thermal energy developed"represent two names of the same physical quantity?

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The velue of any given physical quantity may very over a wide rande, therefor, different units of same phusical quantity are required for example the length of a pen can be easily measured in cm, the height of a tree can be measured in metres, the distance between two cities can be measured in kilometres and distance between two heavenly bodies can be measured in light year.
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