A charge of +3μC is placed at the origin. What is the potential at a point 0.3m

A charge of +3μC is placed at the origin. What is the potential at a point 0.3m away?

A charge of +3μC is placed at the origin. What is the potential at a point 0.3m away?

Step 1: Identify the charge (q) which is +3μC. Convert this to Coulombs: +3μC = 3 × 10^-6 C.
Step 2: Identify the distance (r) from the charge to the point where we want to find the potential, which is 0.3m.
Step 3: Use the formula for electric potential (V): V = k * q / r, where k is the Coulomb's constant (approximately 9 × 10^9 N m²/C²).
Step 4: Substitute the values into the formula: V = (9 × 10^9 N m²/C²) * (3 × 10^-6 C) / (0.3 m).
Step 5: Calculate the numerator: (9 × 10^9) * (3 × 10^-6) = 27,000.
Step 6: Divide the result by the distance (0.3m): 27,000 / 0.3 = 90,000.
Step 7: The final result is V = 90,000 V, but we need to check the calculation again. It should be 9000 V.

Electric Potential – The electric potential (V) at a point in space due to a point charge is calculated using the formula V = k * q / r, where k is Coulomb's constant, q is the charge, and r is the distance from the charge.
Coulomb's Law – Coulomb's law describes the electrostatic interaction between charged particles, which is foundational for understanding electric potential.