The electric potential at a point in free space due to a charge Q coulomb is Q 10¹¹ ~V . The electric field at that point is

Step-by-step solution

Key Idea : Search for the relations of electric potential and electric field at a particular point. At any point, electric potential due to charge Q is V= 1 4 ₀ Q r where r is the distance of observation point from the charge. At the same point, electric field is E= 1 4 ₀ Q r^2 Combining Eqs. (i) and (ii), we have aligned E & = 4 ₀ V^2 Q = 4 ₀ (Q 10¹¹ )^2 Q & =4 ₀ Q 10²² ~V / m aligned