Assignment 1 EE105: Linear Circuit Analysis 1 Lecture 1: Basic Concepts Assigned on: September 4, 2019 Due Date: September 11, 2019 1. How many coulombs are represented by these amounts of electrons? (a) 6.482x1017 (c) 2.46x1019 18 (b) 1.24x10 (d) 6.628x10 2. A current of 3.1 A flows through a conductor. Calculate how many charge passes through any crosssection of the conductor in 20s. 3. The charge entering element is shown in Fig. 1.23. Find the current at: (a) t = 1ms (b) t = 6ms (c) t = 10ms 4. The current flowing past a point in a device is shown in Fig. 1.25. Calculate the total charge through the point 5. The current through an element is shown in Fig. 1.26. Determine the total charge that passed through the element at: (a) t = 1s (b) t = 3s (c) t = 5s 6. A rechargeable ﬂash-light battery is capable of delivering 85 mA for about 12 h. How much charge can it release at that rate? If its terminal voltage is 1.2 V, how much energy can the battery deliver? 7. The voltage v across a device and the current I through it are vt 5 cos 2t V, it 10 1 e0.5t A Calculate: (a) The total charge in the device at t = 1s (b) The power consumed by the device at t = 1s. 8. A 60-W incandescent bulb operates at 120 V. How many electrons and coulombs ﬂow through the bulb in one day? 9. A 1.8-kW electric heater takes 15 min to boil a quantity of water. If this is done once a day and power costs 10 cents/kWh, what is the cost of its operation for 30 days? 10. A 30 W luminescent lamp is connected to a 120 V source and is left burning continuously in an otherwise dark staircase. Determine: (a) The current through the lamp (b) The cost of operating the light for one non-leap year if electricity costs 12 rupee per kWh. Note: Use paper A4, other than the size of paper will be deducted the grade 10%