Kiel Benedick M. Gianan 12 – Canary Chapter 1 – Shocking! Practice Exercises Practice Exercise 1.1 1. A piece of nylon cloth is used to clean the lenses of a pair of eyeglasses. In doing so, which becomes positively charged? negatively charged? Assume that the lenses are made of glass. Glass has a lower electron affinity than nylon. As a result, the nylon charges negatively and the glass charges positively. 2. In the process of rubbing the lenses of the eyeglasses, 6.28x1010 electrons were transferred. (a) What is the charge of the lenses and the nylon cloth? (b) What is the change in their masses? Practice Exercise 1.3 3. Determine the ratio of the electric force to the gravitational force between an electron and a proton when separated by a distance r. Practice Exercise 1.6 4. A proton is released from rest in a uniform horizontal electric field. It travels 3.25 m for 5 us. Find the acceleration of the proton and the magnitude of the electric field. 5. What electric field (magnitude and direction) is needed for an electron to remain suspended in air? Kiel Benedick M. Gianan 12 – Canary Chapter 2 – Aware of our Potentials Assessment (Sentence Completion) The electric potential at any point in an electric field is electric potential energy per unit charge at that point. The SI unit of electric potentials is volt (V). It is named after the physicist Alessandro Volta. One volt is equal to 1 joule/coulomb (J/C). Potential is also defined as the work done to move a unit charge from infinity to one arbitrary point B. Practice Exercises Practice Exercise 2.1 A point particle of charge 2.5 nC and mass 3.25x10-3 kg is in a uniform electric field directed to the right. It is released from rest and moves to the right. After it has traveled 12.0 cm, its speed is 25 m/s. Find the (a) work done on the particle, (b) change in the electric potential energy of the particle, and (c) magnitude of the electric field. Practice Exercise 2.5 The parallel plates of an air capacitor are separated by 2.25 mm. Each plate carries a charge of 6.50 nC. The magnitude of the electric field of the plates is 4.75×105 V/m. Find the (a) potential difference between the plates, (b) capacitance, and (c) area of a plate. Practice Exercise 2.7 A parallel plate capacitor consists of two rectangular plates, each with an area of 4.5 cm² and separated from each other by a 2.00 mm thick dielectric with a dielectric constant of 5.26. The capacitor is connected to a 12.0 V battery. How much energy is stored in the capacitor? Kiel Benedick M. Gianan 12 – Canary Chapter 3 – Three in One Pre-test 1. F 2. T 3. T 4. T 5. F Practice Exercise Practice Exercise 3.1 An electrician experienced a mild shock when he accidentally touched a wire carrying 5.0 mA for approximately 1.0 s. How many electrons constitute the given current? Given: ๐ผ = 5.0 ๐๐ด ๐ก = 1.0 ๐ Solution: ๐ = ๐โ๐๐๐๐ ๐๐๐๐ค๐ ๐กโ๐๐๐ข๐โ ๐ ๐ค๐๐๐ ๐๐ ๐๐๐ฃ๐๐ ๐ก๐๐๐ ๐ = ๐ผ๐ก ∴ ๐ = 5 × 10−3 ๐ถ ๐ = ๐ก๐๐ก๐๐ ๐๐. ๐๐ ๐๐๐๐๐ก๐๐๐๐ × ๐โ๐๐๐๐ ๐๐ ๐๐๐๐๐ก๐๐๐ ๐ = ๐๐ ๐ = 1.6 × 10−19 5 × 10−3 = ๐(1.6 × 10−19 ) ∴ ๐ = 3.125 × 1016 Practice Exercise 3.3 What color code corresponds to a resistance of 234×10³±10% with a temperature coefficient of resistance equal to 25x10-6/C°? GIVEN: ๏ท The resistance of the resistor is given as 243 × 105 ± 10% ๏ท The temperature coefficient of resistance is given as, ๐ผ = 25 × 10−6 /โ° or ๏ท Where, ppm is parts per million, which is 1/106 ๐๐ 10−6 ๐ผ = 25 ๐๐๐/โ° TO DETERMINE: ๏ท The color code corresponding to the resistance. RESISTANCE TABLE FOR 6-BAND RESISTOR Color Band Code Decimal Multiplier โฆ TOLERANCE % TEMPERATURE COEFFICIENT OF RESISTANCE ๐๐๐/โ° BLACK 0 100 BROWN 1 101 1 100 RED 2 102 2 50 ORANGE 3 103 15 YELLOW 4 104 25 GREEN 5 105 0.5 BLUE 6 106 0.25 10 VIOLET 7 107 0.1 5 GREY 8 108 WHITE 9 109 GOLD 10−1 5 SILVER 10−2 10 NONE 20 Using this table, we can find the color code of the resistance SOLUTION: From the table, the color code of the resistor is found as: 2 โถ ๐ ๐ธ๐ท 3 โถ ๐๐ ๐ด๐๐บ๐ธ 4 โถ ๐๐ธ๐ฟ๐ฟ๐๐ 5 10 โฆ ๐๐ 100 ๐โฆ โถ ๐บ๐ ๐ธ๐ธ๐ 10% โถ ๐๐ผ๐ฟ๐๐ธ๐ 25 ๐๐๐/โโ โถ ๐๐ธ๐ฟ๐ฟ๐๐ ∴ ๐กโ๐ ๐๐๐๐๐ ๐๐๐๐ ๐๐๐๐๐๐ ๐๐๐๐๐๐๐ ๐ก๐ ๐กโ๐ ๐๐๐ ๐๐ ๐ก๐๐๐๐ ๐๐ ๐๐๐ข๐๐ ๐๐ : ๐น๐ฌ๐ซ → ๐ถ๐น๐จ๐ต๐ฎ๐ฌ → ๐๐ฌ๐ณ๐ณ๐ถ๐พ → ๐ฎ๐น๐ฌ๐ฌ๐ต → ๐บ๐ฐ๐ณ๐ฝ๐ฌ๐น → ๐๐ฌ๐ณ๐ณ๐ถ๐พ Practice Exercise 3.11 A compact fluorescent lamp (CFL) uses less energy than its equivalent incandescent bulb. How much will a person save if he/she uses a 20 W CFL instead of a 100 W incandescent lamp for 6 h in 30 days? Electricity is priced at โฑ8.17/kWh. Given: P CFL = 20 W Equation: P Incandescent = 100 W ECFL = PCFL t t = (6 h/day) x 30 days E Incandescent = P Incandescent t cost = โฑ8.17/kWh ΔE = (E Incandescent - ECFL) Priced Saved = (cost) (ΔE) Solution: ECFL = PCFL = (20 W) (6 h/day x 30 days) = 3600 W ⋅ h ECFL = 3.6 kW ⋅ h E Incandescent = P Incandescent t = (100 W) (6 h/day x 30 days) = 18000 W ⋅ h E Incandescent = 18 kW ⋅ h Priced Saved = (cost) (ΔE) = (โฑ8.17/kWh) (E Incandescent - ECFL) = (โฑ8.17/kWh) (18 kW ⋅ h - 3.6 kW ⋅ h) Priced Saved = โฑ 117.65 Therefore, the cost saved by the person be โฑ 117.65. Practice Exercise 3.12 A person plugged a 1250 W hair dryer and a 2500 W electric heater into the same 120 V outlet protected by a 7.5 A circuit breaker. Will the breaker trip? Given: Power of hair dryer = 1250 W Power of electric heater = 2500 W Voltage (V) = 120V Current (I) = 7.5 A Solution: P = VI = (120V) (7.5A) P = 900 W Hence, the power consumption by a heater and hair dryer is higher the maximum power. So, the breaker will trip. Kiel Benedick M. Gianan 12 – Canary Test Yourself Chapter 1 1. C 6. D 11. A 2. C 7. A 12. D 3. A 8. A 13. A 4. B 9. B 14. A 5. A 10. B 15. B 1. B 6. B 11. D 2. D 7. C 12. B 3. A 8. C 13. D 4. D 9. C 14. D 5. A 10. C 15. D 1. C 6. A 11. A 2. B 7. C 12. A 3. A 8. C 13. C 4. B 9. D 14. B 5. A 10. D 15. C Chapter 2 Chapter 3