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Explanation: Power is given by, P= V X I, where I = J X A is the current.
Thus power P = V X J X A = 20 X 15 X 100 = 30,000 joule = 30kJ.
To compute the power consumed by the material, we can use the formula for power ((P)) in electrical systems, which is given by (P = IV), where (I) is the current in amperes (A) and (V) is the potential difference across the material in volts (V).
However, to find the current ((I)) flowing through the material, we first need to determine the total current from the given current density ((J)). Current density is defined as the current flow per unit area, given by (J = I/A), where (J) is the current density, (I) is the total current, and (A) is the area through which the current flows.
Given:
– Current density ((J)) = 15 units (assuming units are (A/m^2) for the purpose of this calculation, as actual units were not specified),
– Area ((A)) = 100 units ((m^2), assuming meters squared for coherence with current density units),
– Potential difference ((V)) = 20V.
We find the total current flowing ((I)) first:
[J = frac{I}{A} implies I = J times A]
[I = 15 , A/m^2 times 100 , m^2 = 1500 , A]
Then, we substitute (I) into