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STATEMENT-1 : Absolute value of potentia...

STATEMENT-1 `:` Absolute value of potential is not defined.
STATEMENT-2 `:` For a given potential function, electric intensity function can be uniquely found.
STATEMENT- 3 `:` Potential increases in the direction of electric field

A

F F T

B

T T F

C

T F T

D

F T F

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements provided in the question, we will evaluate each statement one by one and determine their validity based on the principles of electrostatics. ### Step 1: Evaluate Statement 1 **Statement 1:** Absolute value of potential is not defined. **Explanation:** In electrostatics, the electric potential (V) is defined relative to a reference point, commonly taken to be at infinity where the potential is considered to be zero (V = 0 at infinity). The absolute value of electric potential at a point does not have a physical meaning because it is always defined relative to another point. Hence, we can only talk about potential differences (ΔV = V_B - V_A) between two points. Therefore, this statement is **True**. ### Step 2: Evaluate Statement 2 **Statement 2:** For a given potential function, electric intensity function can be uniquely found. **Explanation:** The electric field intensity (E) is related to the electric potential (V) by the relation \( E = -\frac{dV}{dr} \). Given a potential function, we can differentiate it to find the electric field. This relationship shows that for any potential function, there is a unique electric field associated with it. Therefore, this statement is **True**. ### Step 3: Evaluate Statement 3 **Statement 3:** Potential increases in the direction of electric field. **Explanation:** The electric field points in the direction of decreasing potential. For a positive charge, as you move away from it, the potential decreases. Therefore, the potential does not increase in the direction of the electric field; it actually decreases. Hence, this statement is **False**. ### Summary of Statements: - Statement 1: True - Statement 2: True - Statement 3: False Thus, the overall evaluation of the statements is TTF (True, True, False). ### Final Answer: The correct option is **Option 2: TTF**. ---
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