Remember, current density is a vector because it describes both the magnitude and direction of the flow of charge, while current is simply the total charge flow per unit time and is a scalar quantity.
Ohm’s law asserts that the graph plotted \( I \) vs \( V \) is a straight line
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The Correct Option isA
Solution and Explanation
- Current is actually a scalar quantity, which is true, but the given statement claims that it's incorrect, so it is not the right statement. Current density, on the other hand, is a vector quantity, as it has both magnitude and direction (since it defines the flow of charge per unit area, and the direction of flow is essential).
- Conductivity is indeed the reciprocal of resistivity: \( \sigma = \frac{1}{\rho} \), where \( \sigma \) is conductivity and \( \rho \) is resistivity.
- Ohm's Law states that the current flowing through a conductor is directly proportional to the voltage and inversely proportional to the resistance. When plotted \( I \) vs \( V \), the result is a straight line under conditions of constant resistance.
Thus, the incorrect statement is A because current is not a vector, while the rest of the statements are correct.
