Solved Examples of Resistance Calculations using Ohm's Law

📚 Quick Study Guide

• 💡 Ohm's Law states the relationship between voltage (V), current (I), and resistance (R).
• 🔢 The formula for Ohm's Law is: $V = IR$
• 📏 Resistance (R) is measured in Ohms (Ω).
• ⚡ Voltage (V) is measured in Volts (V).
• 🌊 Current (I) is measured in Amperes (A).
• ➕ To find resistance, rearrange the formula: $R = \frac{V}{I}$
• 🧪 Series Resistance: $R_{total} = R_1 + R_2 + R_3 + ...$
• 🌐 Parallel Resistance: $\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + ...$

🧪 Practice Quiz

1. What is the resistance of a resistor if a voltage of 12V produces a current of 2A?
   1. 6 Ω
   2. 10 Ω
   3. 24 Ω
   4. 4 Ω
2. If a resistor with a resistance of 5 Ω has a current of 3A flowing through it, what is the voltage across the resistor?
   1. 8 V
   2. 1.67 V
   3. 15 V
   4. 2 V
3. Two resistors, 4 Ω and 6 Ω, are connected in series. What is the total resistance?
   1. 2.4 Ω
   2. 10 Ω
   3. 24 Ω
   4. 5 Ω
4. Two resistors, 8 Ω and 8 Ω, are connected in parallel. What is the total resistance?
   1. 16 Ω
   2. 4 Ω
   3. 1 Ω
   4. 8 Ω
5. A circuit has a 9V battery and a resistance of 3 Ω. What is the current flowing through the circuit?
   1. 3 A
   2. 27 A
   3. 0.33 A
   4. 6 A
6. Three resistors of 2 Ω, 4 Ω, and 6 Ω are connected in series. What is the equivalent resistance?
   1. 12 Ω
   2. 3 Ω
   3. 0.46 Ω
   4. 8 Ω
7. If a 20V power supply is connected to a 5Ω resistor, the current flow would be?
   1. 100A
   2. 0.25A
   3. 4A
   4. 25A