MHB Electrical Engineering Problem

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The electric oven operates on a 110 V power line with a current of 1.0 A through its resistance heater. The thermal power produced by the heater is calculated using the formula P = I × E, resulting in 110 W. The discussion raises a question about the appropriateness of the problem being posted in the puzzle palace section. The calculation assumes 100% efficiency in converting electrical power to thermal power. The focus remains on the electrical engineering principles involved in determining the power output of the heater.
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An electric oven is heated using electricity from a 110 V power line. The power line is connected to a resistance heater in the oven, and the current through the heater is found to be 1.0 A. Assuming the heater is 100% efficient in converting electrical power into thermal power, what is the thermal power produced by the thermal element?
 
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$P=I \cdot E = \left(1 \, \dfrac{C}{s}\right) \cdot \left(110 \, \dfrac{J}{C}\right) = 110 \, \dfrac{J}{s} = 110 \, W$

Just noticed this was posted in the puzzle palace ... am I missing something?
 
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Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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