The electric potential at a certain distance from a point charge is and the electric field is . Which of the following statements will be true?
The potential at a distance of will be
Step 1: Given Data
The electric field at that point is,
The electric potential at that point is,
Step 2: Formula Used
Electric field,
Electric potential,
Work done in moving a charge from to is
Step 3: Calculation for the distance of the point from the charge
Using the formula,
Substituting the values ⇒
⇒ The distance of the point from the charge is
Step 4: Calculating magnitude of the charge
Given,
⇒
⇒ The value of the charge is,
Step 5: Calculation for work done
Work done in moving charge of from to is
⇒
⇒ The magnitude of work done is =
Step 6: Finding the potential at a distance
Potential at a distance of from the point is,
⇒
⇒ The potential at a distance of is = .
Hence, the correct options are (A), (B) and (C).