Answer to Question #134672 in Field Theory for Jeet

Question

The electric held in a region is given by E =20i +30j in certain units. As one goes a small distance dl in the direction of
n vector =30i-20j .The potential will

(a) increase

(b) decrease

(c) remain constant

(d) change sign

Choose the correct option .More than one option could be correct

Answer 1

$$\Delta V=-\vec{E}\cdot\Delta \vec{s}=-(20,30)\begin{pmatrix} 30 \\ -20 \end{pmatrix}\\=-(600-600)=0 \ V$$

Answer: (c) remain constant