Assertion :In the electric field $\to E = (4 ˆ i + 4 ˆ j)$ N/C, electric potential at A(4 m, 0) is more than the electric potential at B(0, 4 m) Reason: Electric lines of forces always travel from higher potential to lower potential.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason are correct

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Solution

The correct option is D Assertion is incorrect but Reason are correct
The potential is given as, $- \int E_{x} d x - \int E_{y} d y =$ -4x-4y$
At, $A (4, 0)$ potential is $- 16$ . And at $A (0, 4)$ potential is $- 16$ .
So potential is same at both points.
As Electrostatic force is conservative, direction of Electric field is towards decreasing potential energy i.e., from higher potential to lower potential.
So assertion is incorrect and reason is correct.

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Assertion :In the electric field →E=(4ˆi+4ˆj) N/C, electric potential at A(4 m, 0) is more than the electric potential at B(0, 4 m) Reason: Electric lines of forces always travel from higher potential to lower potential.

Assertion :In the electric field $\to E = (4 ˆ i + 4 ˆ j)$ N/C, electric potential at A(4 m, 0) is more than the electric potential at B(0, 4 m) Reason: Electric lines of forces always travel from higher potential to lower potential.