Electric Field And Potential Due To Point

To determine the quantity represented by , let's analyze the units and physical meaning step by step.

Step 1: Identify the Units of Each Quantity
1. Force: The unit of force is Newton ( ).
- In terms of base SI units: .
2. Length: The unit of length is meter ( ).
3. Charge: The unit of charge is Coulomb ( ).

Step 2: Write the Expression in Terms of Units
The given expression is:
$ \frac{\text{Force} \times \text{Length}}{\text{Charge}} \text{V} \text{A} \Omega \text{F} {\text{Potential}} $

To solve the problem, we need to determine the resistance of a conductor when a current of flows through it under a potential difference of .

1. Understanding Ohm's Law:
Ohm's Law states the relationship between voltage ( ), current ( ), and resistance ( ):
where:

• is the potential difference (in volts),
• is the current (in amperes),
• is the resistance (in ohms).

2. Rearranging for Resistance:
To find the resistance, we rearrange Ohm's Law:

3. Substituting the Given Values:
We are given:

• ,
• .

Substitute these values into the equation:

4. Performing the Calculation:

5. Final Answer:
The resistance of the conductor is .