2. Define current density. 3. Define the term drift velocity and relaxation time. Obtain a relation between them. 4. Derive an expression for the resistivity of a good conductor in terms of relaxation time of electrons. 5. Derive the relation between current density and drift velocity of electrons inside a conductor. 6. What is the effect of temperature on the resistivity of (i) metals, (ii) alloys, (iii) semiconductors, (iv) electrolytes? 7. What are colour codes of carbon resistors? 8. Define an electric cell. 9. What is the emf of a cell? On what factors does it depend? 10. What is internal resistance of a cell? On what factors does it depend? 11. Three resistances R1,R2 and R3 are connected in (i) series and (ii) parallel. Find the equivalent resistance in each case. 12. Discuss the combination of cells in series. Find the expression for total current. What will be the value of current, if (i) the cells are of very small internal resistance? (ii) the internal resistance of the cells is very high? 13. Discuss the combination of cells in parallel. Find the expression for total current. What will be the value of current, if (i) the cells are of very small internal resistance? (ii) the internal resistance of the cells is very high? 14. State and explain Kirchhoff’s laws of current distribution in an electric network. 15. What is Wheatstone’s bridge? Derive the required conditions for the balanced Wheatstone’s Bridge. 16. Draw a circuit diagram of a metre bridge arranged to determine an unknown resistance. Explain the principle of the experiment and give the formula used. 17. How will you compare two resistances using a metre bridge? Give the formula used. 18. What is the principle of potentiometer? Why is it better than the other voltage measuring instruments? How can its sensitivity be increased? 19. With the help of a circuit diagram explain how will you compare the emfs of two primary cells using a potentiometer. 20. With the help of a circuit diagram explain how will you measure the internal resistance of a cell using a potentiometer. Derive the formula used. 21. How does a heating wire differ from a fuse wire? 22. Define the term drift speed and relaxation time. 23. Define electric conductivity of a metal. How is it related with j,the current density and E, the intensity of electric field along the wire? Derive Ohm’s law on the basis of this relation. 24. Determine the equivalent resistance of the network shown in figure. 25. A storage battery of emf 8V and internal resistance 0.5 Ω is being charged by a 120V d.c. supply using a series resistor of 15.5 Ω. What is the terminal voltage of the battery during charging? What is the purpose of having a series resistor in the charging circuit? 26. Determine the current in each branch of the network shown in figure. 27. The reading of a high resistance voltmeter, when a cell is connected across it, is 2.2V. When the terminals of the cell are also connected to a resistance of 5Ω as shown in the circuit, the voltmeter reading drops to 1.8V. Find the internal resistance of the cell. 28. Find the value of unknown resistance X, in the following circuit, if no current flows through the section AD. Also calculate the current drawn by the circuit from the battery of emf 6V and negligible internal resistance. 29. Use Kirchhoff’s laws to determine the value of current I1 in the electrical circuit given below. 30. Two cells of emf 1.5 V and 2 V have internal resistances 1Ω and 2Ω respectively are connected in parallel to pass a current in the same direction through an external resistance of 5Ω. (i)Draw the circuit diagram. (ii)Using Kirchhoff’s laws, calculate the current through each branch of the circuit and potential difference across 5Ω resistor.