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To calculate the convection current, we can use the formula for current, which is (I = nqAv), where:
– (I) is the current in amperes (A),
– (n) is the charge carrier density (number of charge carriers per volume),
– (q) is the charge of an individual carrier (in coulombs, C),
– (A) is the cross-sectional area of the flow in square meters (m²),
– (v) is the drift velocity of the charge carriers (in meters per second, m/s).
In the case of electron flow, the charge (q) of an electron is approximately (-1.6 times 10^{-19}) coulombs. However, to find the convection current directly from the given information, we would also need the cross-sectional area through which these electrons are moving, which is not provided in the question.
Given data:
– Electron density, (n = 200) units. Assuming the unit here represents “electrons per cubic meter” ((electrons/m^3)), although typically, electron density would be much higher in a conductive material.
– Drift velocity, (v = 12 m/s).
Missing data:
– Cross-sectional area, (A).
Without the cross-sectional area, the calculation cannot be completed accurately.
Moreover, the term “units” used for electron density is ambiguous since electron density is typically given in units such
Answer: b
Explanation: The convection current density is given by, J = ρeV
J = 200 X 12= 2400 units