V/m is the unit of ______a)Electric field intensityb)Electric fluxc)Electric potentiald)ChargeCorrect answer is option 'A'. Can you explain this answer?

Question

Answer

Electric Field Intensity

Electric field intensity is a measure of the strength of an electric field at a particular point. The unit of electric field intensity is volts per meter (V/m). Here's why V/m is the unit of electric field intensity:

- Definition: Electric field intensity is defined as the force experienced by a unit positive charge placed at a point in an electric field. It is represented by the symbol E.
- Formula: The electric field intensity E at a point in an electric field is given by the formula E = F/Q, where F is the force experienced by the charge Q at that point.
- Unit: The unit of force is Newton (N) and the unit of charge is Coulomb (C). Therefore, the unit of electric field intensity is N/C. This can be further simplified as V/m since 1 V = 1 N/C.
- Physical Significance: Electric field intensity helps in understanding how strong the electric field is at a given point. It determines the direction and magnitude of the force that a positive test charge would experience if placed at that point.

In conclusion, V/m is the unit of electric field intensity because it represents the strength of the electric field at a specific location in terms of the force experienced by a unit positive charge placed at that point.

Answer

E=-(dV/dx) where E is the field intensity, V is potential and x is distance. Therefore unit of electric field intensity will be (unit of potential/unit of distance) = V/m. Electric flux has unit V * m, V is the unit of electric potential whereas charge has a unit of Coulomb or esu.

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