Final answer:
The electric potential 18.0 cm from a 4.0 μC point charge is calculated using the formula V = kQ/r, resulting in a potential of 1.99 × 105 volts.
Step-by-step explanation:
The student is asking about the electric potential created by a point charge at a certain distance from the charge. The electric potential (V) due to a point charge can be calculated using the formula V = kQ/r, where k is Coulomb's constant (8.99 × 109 N·m2/C2), Q is the charge in coulombs (C), and r is the distance from the charge in meters (m). For a charge of 4.0 μC (4.0 × 10-6 C) at a distance of 18.0 cm (0.18 m), the potential is calculated as:
V = (8.99 × 109 N·m2/C2) × (4.0 × 10-6 C) / 0.18 m
This gives:
V = (8.99 × 109 × 4.0 × 10-6) / 0.18
V = 1.99 × 105 V
Therefore, the electric potential 18.0 cm from a 4.0 μC point charge is 1.99 × 105 volts.