Electric Resistance
1. Problem 3: An electric kettle has a resistance of 30 Ω. What current will flow when connected to a 240 V supply? Also, find the power rating of the kettle.
2. Using Ohm's Law, current $I = \frac{V}{R} = \frac{240}{30} = 8$ A.
3. Power is given by $p = I^2 \times R = 8^2 \times 30 = 64 \times 30 = 1920$ W.
4. Problem 5: Find the resistance of a coil drawing (a) 50 mA and (b) 200 µA from a 120 V supply.
5. (a) Convert current: $50$ mA $= 50 \times 10^{-3} = 0.05$ A.
6. Use $R = \frac{V}{I} = \frac{120}{0.05} = 2400$ Ω.
7. (b) Convert current: $200$ µA $= 200 \times 10^{-6} = 0.0002$ A.
8. Use $R = \frac{120}{0.0002} = 600000$ Ω $= 600$ kΩ.
9. Problem 1: Current through a resistor is 0.8 A when 20 V is applied. Find resistance.
10. Use $R = \frac{V}{I} = \frac{20}{0.8} = 25$ Ω.
Final answers:
- Problem 3: Current = 8 A, Power = 1920 W.
- Problem 5(a): Resistance = 2400 Ω.
- Problem 5(b): Resistance = 600000 Ω.
- Problem 1: Resistance = 25 Ω.