Compute the power consumed by a material with current density 15 units in an area of 100 units. The potential measured across the material is 20V.

To compute the power consumed by a material, we can use the formula for power ((P)):

[P = I times V]

where:

– (I) is the current in amperes (A)

– (V) is the potential difference in volts (V)

Given:

– Current density ((J)) is 15 units (assuming the units are (text{A/m}^2))

– Area ((A)) is 100 units ((text{m}^2), assuming based on the units given for current density)

– Potential ((V)) across the material is 20V

First, we need to find the total current ((I)) flowing through the material. The current ((I)) can be found using the formula:

[I = J times A]

Substituting the given values:

[I = 15 times 100 = 1500, text{A}]

Now, using the power formula:

[P = I times V]

[P = 1500 times 20 = 30000, text{W}]

Therefore, the power consumed by the material is 30,000 Watts (or 30 kW).