What is the electric potential at a point 3 m away from a charge of +2 µC?
Practice Questions
Q1
What is the electric potential at a point 3 m away from a charge of +2 µC?
0.6 V
1.2 V
2.4 V
4.8 V
Questions & Step-by-Step Solutions
What is the electric potential at a point 3 m away from a charge of +2 µC?
Step 1: Identify the formula for electric potential (V) due to a point charge, which is V = k * q / r.
Step 2: Identify the values needed for the formula: k (Coulomb's constant) = 8.99 x 10^9 N m²/C², q (the charge) = +2 µC = 2 x 10^-6 C, and r (the distance from the charge) = 3 m.
Step 3: Substitute the values into the formula: V = (8.99 x 10^9 N m²/C²) * (2 x 10^-6 C) / (3 m).
Step 4: Calculate the numerator: (8.99 x 10^9) * (2 x 10^-6) = 17.98 x 10^3.
Step 5: Divide the result from Step 4 by the distance (3 m): 17.98 x 10^3 / 3 = 5.9933 x 10^3.
Step 6: Round the result to two decimal places: V ≈ 5.99 V.
