Electric Potential of Point Charge

📊 intermediate

$$V = \frac{1}{4\pi\epsilon_0} \frac{q}{r}$$

The work done per unit charge in bringing a positive test charge from infinity to a point.

Variables & Units

$V$

Electric Potential

Unit: Volt ($V$)

$q$

Source charge

Unit: Coulomb ($C$)

$r$

Distance from charge

Unit: Meter ($m$)

Key Information

📐 Derived From

Negative integral of the electric field.

💡 Example

Calculating potential $10 cm$ away from a $1 \mu C$ charge.

🔧 Applications

Cathode ray tubes and particle accelerators.

⚠️ Constraints

Point charge; vacuum/air.

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