Certainly! Let’s solve this problem step-by-step using Ohm's Law.
### Step 1: Understand Ohm's Law
Ohm's Law is a fundamental principle in electrical engineering that relates voltage (V), current (I), and resistance (R) with the formula:
[tex]\[ V = I \times R \][/tex]
### Step 2: Identify Given Data
From the problem, we have:
- Resistance ([tex]\( R \)[/tex]) = 200 ohms
- Current ([tex]\( I \)[/tex]) = 0.5 amperes
### Step 3: Apply Ohm’s Law
We'll substitute the given values into the Ohm's Law equation.
Using the formula:
[tex]\[ V = I \times R \][/tex]
Substitute [tex]\( I \)[/tex] and [tex]\( R \)[/tex]:
[tex]\[ V = 0.5 \, \text{amperes} \times 200 \, \text{ohms} \][/tex]
### Step 4: Perform the Calculation
Calculate the product of the current and the resistance:
[tex]\[ V = 0.5 \times 200 \][/tex]
[tex]\[ V = 100 \text{ volts} \][/tex]
### Step 5: Conclusion
The voltage across the resistor is:
[tex]\[ V = 100 \text{ volts} \][/tex]
