If the electric potential at a point is 100 V and the charge at that point is 2

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Question: If the electric potential at a point is 100 V and the charge at that point is 2 µC, what is the electric potential energy?

Options:

Correct Answer: 0.2 J

Solution:

Potential energy U = V * q = 100 V * 2 x 10^-6 C = 0.0002 J = 0.2 J.

If the electric potential at a point is 100 V and the charge at that point is 2 µC, what is the electric potential energy?

If the electric potential at a point is 100 V and the charge at that point is 2 µC, what is the electric potential energy?

Step 1: Identify the electric potential (V) at the point, which is given as 100 V.
Step 2: Identify the charge (q) at that point, which is given as 2 µC (microcoulombs).
Step 3: Convert the charge from microcoulombs to coulombs. 2 µC = 2 x 10^-6 C.
Step 4: Use the formula for electric potential energy (U), which is U = V * q.
Step 5: Substitute the values into the formula: U = 100 V * 2 x 10^-6 C.
Step 6: Calculate the result: U = 100 * 0.000002 = 0.0002 J.
Step 7: Convert the result to a more understandable form if needed: 0.0002 J = 0.2 mJ (millijoules).

Electric Potential Energy – The energy stored due to the position of a charge in an electric field, calculated as the product of electric potential (V) and charge (q).
Units of Measurement – Understanding the conversion of microcoulombs (µC) to coulombs (C) and the significance of joules (J) as a unit of energy.