Understanding how to find the voltage using electric energy and electric charge is fundamental in electronics and electrical engineering. The relationship between electric energy (E), voltage (V), and electric charge (Q) is given by the formula:
\[ E = V \cdot Q \]
Where:
- \( E \) is the electric energy (measured in joules, J)
- \( V \) is the voltage (measured in volts, V)
- \( Q \) is the electric charge (measured in coulombs, C)
To find the voltage, we can rearrange the formula:
\[ V = \dfrac{E}{Q} \]
Example 1: Charging a Smartphone
Scenario: A smartphone battery stores 18,000 joules of energy and has a charge capacity of 5,000 coulombs.
Calculation:
Given:
- \( E = 18,000 \) J
- \( Q = 5,000 \) C
Using the formula:
\[ V = \dfrac{18,000}{5,000} = 3.6 \text{ volts} \]
Result: The voltage required to charge the smartphone battery is 3.6 volts.
Example 2: Electric Car Battery
Scenario: An electric car battery stores 720,000 joules of energy and has a charge capacity of 60,000 coulombs.
Calculation:
- Given:
- \( E = 720,000 \) J
- \( Q = 60,000 \) C
Using the formula:
\[ V = \dfrac{720,000}{60,000} = 12 \text{ volts} \]
Result: The voltage of the electric car battery is 12 volts.
Example 3: Solar Panel Output
Scenario: A solar panel generates 1,500 joules of energy and transfers 250 coulombs of charge to a battery.
Calculation:
Given:
- \( E = 1,500 \) J
- \( Q = 250 \) C
Using the formula:
\[ V = \dfrac{1,500}{250} = 6 \text{ volts} \]
Result: The voltage generated by the solar panel is 6 volts.
By understanding and applying this formula, you can easily determine the voltage in various practical scenarios, whether you're dealing with smartphone batteries, electric cars, or solar panels. This fundamental concept is crucial for designing and troubleshooting electrical systems efficiently.
