An electric heater has a resistance of 15.31 ohms and draws 7.84 amperes of current. What is the circuit voltage, rounded to two decimal places?

An electric heater has a resistance of 15.31 ohms and draws 7.84 amperes of current. What is the circuit voltage, rounded to two decimal places?

• A. 100.00 V
• B. 120.03 V
• C. 125.00 V
• D. 110.50 V

Answer: (B)

To find the circuit voltage, you can use Ohm's Law, which states that voltage (V) is equal to the current (I) multiplied by the resistance (R). In this scenario, the resistance is given as 15.31 ohms and the current is 7.84 amperes. Using the formula: \[ V = I \times R \] Substituting the given values into the equation gives: \[ V = 7.84 \, \text{A} \times 15.31 \, \text{Ω} \] Calculating this results in: \[ V = 120.03 \, \text{V} \] This result rounding to two decimal places indeed confirms that the circuit voltage is approximately 120.03 volts, making it the correct choice. Understanding Ohm's Law is crucial for calculating the relationship between voltage, current, and resistance, especially in electrical systems where precise measurements and calculations are necessary.

To find the circuit voltage, you can use Ohm's Law, which states that voltage (V) is equal to the current (I) multiplied by the resistance (R). In this scenario, the resistance is given as 15.31 ohms and the current is 7.84 amperes.

Using the formula:

[ V = I \times R ]

Substituting the given values into the equation gives:

[ V = 7.84 , \text{A} \times 15.31 , \text{Ω} ]

Calculating this results in:

[ V = 120.03 , \text{V} ]

This result rounding to two decimal places indeed confirms that the circuit voltage is approximately 120.03 volts, making it the correct choice. Understanding Ohm's Law is crucial for calculating the relationship between voltage, current, and resistance, especially in electrical systems where precise measurements and calculations are necessary.