Question

Uniform electric field of magnitude $100V/m$ in space is directed parallel to the line $y=3+x.$ Find the potential difference between point $A\left(3,1\right)\&B\left(1,3\right):$

• A. $100V$
• B. $200V$
• C. $300V$
• D. $0$

Answer 1

The correct option is (D) $0V$

Step 1, Given data

Magnitude $=100V/m$

line $=y=3+x$

Step 2, Finding the potential difference

we know,

Potential difference between them

when, $d=\sqrt{{(3-1)}^2+{(1-3)}^2}$

$=\sqrt{4+4}=2\sqrt{2}m$

the electric field of equipotential surface is same because uniform electric field.

So, the potential difference is zero.

Hence the potential difference between the points is 0 V.