Question

In a uniform electric field, when we move from origin to $x=1\text{m}$, the potential charges by $10\text{V}$. Which of the following can be a possible magnitude of the electric field.

• A. $10{\text{Vm}}^{-1}$
• B. $15{\text{Vm}}^{-1}$
• C. $5{\text{Vm}}^{-1}$
• D. $20{\text{Vm}}^{-1}$

Answer 1

Answer: (A), (B), (D)

$20{\text{Vm}}^{-1}$

Electric field is given by, $E=\frac{V}{d}...\left(1\right)$

Given, $V=10\text{V}$ and $d=1\text{m}$

Now, from equation (1) we get,

$E_x=\frac{10}{1}$

$E_x=10{\text{Vm}}^{-1}$

As, $E\ge E_x$

So the possible magnitude of the electric field will be,

$10{\text{Vm}}^{-1},15{\text{Vm}}^{-1}\text{and}20{\text{Vm}}^{-1}$

Hence, option $A,B$ and $D$ are correct.