Solved Examples: Finding Resistance Using Ohm's Law

📚 Quick Study Guide

• ⚡ Ohm's Law: The relationship between voltage (V), current (I), and resistance (R) is defined by $V = IR$.
• 📏 Voltage (V): Measured in volts (V), it's the electric potential difference.
• 🌊 Current (I): Measured in amperes (A), it's the flow of electric charge.
• 🚧 Resistance (R): Measured in ohms (Ω), it opposes the flow of current.
• 📐 Finding Resistance: To find resistance, rearrange Ohm's Law: $R = \frac{V}{I}$.
• 💡 Important Units: Ensure voltage is in volts (V) and current is in amperes (A) to get resistance in ohms (Ω).

🧪 Practice Quiz

1. What is the resistance of a circuit with a voltage of 12V and a current of 2A?
   1. 6 Ω
   2. 10 Ω
   3. 14 Ω
   4. 24 Ω
2. A circuit has a voltage of 9V and a current of 3A. Calculate the resistance.
   1. 1 Ω
   2. 3 Ω
   3. 6 Ω
   4. 27 Ω
3. If a circuit has a voltage of 24V and a current of 4A, what is the resistance?
   1. 4 Ω
   2. 6 Ω
   3. 8 Ω
   4. 96 Ω
4. What is the resistance when the voltage is 36V and the current is 6A?
   1. 6 Ω
   2. 12 Ω
   3. 30 Ω
   4. 216 Ω
5. Calculate the resistance if a circuit has a voltage of 48V and a current of 8A.
   1. 4 Ω
   2. 6 Ω
   3. 8 Ω
   4. 384 Ω
6. A circuit has a voltage of 5V and a current of 0.5A. What is the resistance?
   1. 2.5 Ω
   2. 5 Ω
   3. 10 Ω
   4. 0.1 Ω
7. What is the resistance of a component if the voltage across it is 10V and the current through it is 2A?
   1. 2 Ω
   2. 5 Ω
   3. 8 Ω
   4. 20 Ω