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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 truthfulness. ### Step 1: Evaluate Statement 1 **Statement 1:** Absolute value of potential is not defined. - **Explanation:** The electric potential at a point is defined relative to another point. We can only measure the potential difference between two points, not the absolute potential at a single point. The reference point is often taken as infinity, where the potential is defined to be zero. Therefore, the absolute value of potential is indeed not defined. - **Conclusion:** This statement is **True**. ### Step 2: Evaluate Statement 2 **Statement 2:** For a given potential function, the electric intensity function can be uniquely found. - **Explanation:** The electric field intensity (E) can be derived from the electric potential (V) using the relation \( E = -\nabla V \) (in three dimensions) or \( E = -\frac{dV}{dx} \) (in one dimension). This means that for any given potential function, we can find a corresponding electric field intensity function uniquely. - **Conclusion:** 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. When a positive test charge moves in the direction of the electric field, it moves from a region of higher potential to a region of lower potential. Therefore, the potential does not increase in the direction of the electric field; it decreases. - **Conclusion:** This statement is **False**. ### Final Summary - **Statement 1:** True - **Statement 2:** True - **Statement 3:** False The overall truth values of the statements can be summarized as: - Statement 1: True - Statement 2: True - Statement 3: False Thus, the answer to the question is **TTF** (True, True, False). ---
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