Final answer:
To calculate the electric potential in different regions, use the formula V = kq/r, where V is the electric potential, k is Coulomb's constant, q is the charge, and r is the distance from the charge. Substituting the given values, you can calculate the electric potential in each region.
Step-by-step explanation:
The electric potential in the regions (a) r < R₁, (b) R₁ < r < R₂, and (c) r > R₂ can be calculated using the formula V = kq/r, where V is the electric potential, k is Coulomb's constant, q is the charge, and r is the distance from the charge.
In region (a), when r < R₁, the electric potential is given by V = kq₁/r, where q₁ is the charge. In region (b), when R₁ < r < R₂, the electric potential is obtained by subtracting the potential at R₁ from the potential at R₂, that is, V = kq₂/r - kq₁/R₁. In region (c), when r > R₂, the electric potential is given by V = k(q₁ + q₂)/r, where q₁ and q₂ are the charges.
By substituting the given values of charges and distances into the formulas, you can calculate the electric potential in each region.