Final answer:
To find the distance from a point charge where the potential is a certain value, use the formula for electric potential: V = k * Q / r. For part (a) with a potential of 95 V, the distance is 1.168 m. For part (b) with a potential of 195 V, the distance is 0.626 m.
Step-by-step explanation:
To find the distance from a point charge where the potential is a certain value, we can use the formula for electric potential:
V = k * Q / r
Where V is the potential, k is the Coulomb's constant (9 x 10^9 Nm^2/C^2), Q is the charge, and r is the distance from the charge. For part (a), we can rearrange the formula to solve for r:
r = k * Q / V
Substituting the given values: r = (9 x 10^9 Nm^2/C^2) * (1.1 x 10^-6 C) / (95 V)
r = 1.168 m
For part (b), we can use the same formula to find r:
r = (9 x 10^9 Nm^2/C^2) * (1.1 x 10^-6 C) / (195 V)
r = 0.626 m