What is the electric potential at a point 3 m away from a charge of +1 µC?
Practice Questions
1 question
Q1
What is the electric potential at a point 3 m away from a charge of +1 µC?
3000 V
9000 V
300 V
900 V
V = k * q / r = (8.99 x 10^9 N m²/C²) * (1 x 10^-6 C) / 3 m = 3000 V.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the electric potential at a point 3 m away from a charge of +1 µC?
Solution: V = k * q / r = (8.99 x 10^9 N m²/C²) * (1 x 10^-6 C) / 3 m = 3000 V.
Steps: 6
Step 1: Identify the formula for electric potential (V) due to a point charge, which is V = k * q / r.
Step 2: Understand the variables in the formula: k is the electrostatic constant (approximately 8.99 x 10^9 N m²/C²), q is the charge (in this case, +1 µC or 1 x 10^-6 C), and r is the distance from the charge (3 m).
Step 3: Substitute the values into the formula: V = (8.99 x 10^9 N m²/C²) * (1 x 10^-6 C) / (3 m).
Step 4: Calculate the numerator: (8.99 x 10^9) * (1 x 10^-6) = 8.99 x 10^3.
Step 5: Divide the result from Step 4 by the distance (3 m): 8.99 x 10^3 / 3 = 2996.67 V.
Step 6: Round the result to a reasonable number of significant figures: approximately 3000 V.
