ASSIGNMENT WORK Class : xii Subject : physics (CURRENT ELECTRICITY) 1. Establish the relation between drift velocity of electrons and electric current. 2. How many electrons constitute a current of 1 ampere? 3. Deduce ohm’s law by using basic idea of drift velocity. 4. What is a thermistor? Write one application of the thermistor. 5. You have three resistances of value R each. How will you connect these 3𝑅 for obtaining a total resistance of ? Show this connection by a 2 diagram. 6. Give the nature of V – I graph for ohmic and non – ohmic circuit elements. Give one example of each. 7. Is there any connection of solar winds or cosmic rays with electric current? 8. Is Ohm’s law a universal law ? Support your answer with examples. 9. Is the temperature coefficient of resistance always positive ? 10.State and explain Kirchhoff’s laws. 11.What is Wheatstone bridge? State and prove the principle of Wheatstone bridge. 12.Show that a potentiometer is an ideal voltmeter. 13.Explain the principle of potentiometer. How will you compare e.m.f. of two given primary cells by using a potentiometer? Explain with proper circuit diagram. 14.Sometime the balance point in the potentiometer is not obtained. Suggest the reasons for it. 15.A potentiometer of longer wire is more sensitive. Explain. 16.What do you understand by a potential divider circuit? Explain it with the help of an example. 17.If 0.8 mol of electrons flow through a wire in 40 min. What are (a) the total charge that passes through the wire and (b) the amount of current flowing through the wire? [Ans.7.71× 𝟏𝟎𝟒 C; 32.13 A] 18.A cylindrical metallic wire is stretched to increase its length by 5%. Calculate the percentage change in its resistance.[Ans. 10.25%] 19.The carbon resistor has coloured strips with sequence brown black, brown and gold. What is the value of the resistor? [Ans. (101±5%)] 20.A set of n identical resistors, each of resistance R ohm, when connected in series have an effective resistance X ohm and when the resistors are connected in parallel, their effective resistance is Y ohm. Find the relation between R, X and Y. [Ans. XY = R2] 21.A uniform wire has resistance 12 . It is bent in the form of an equilateral triangle. Find the effective resistance between any two corners of the triangle. [Ans. 2.7 ] 22.An electric heater and an electric bulb are rated 500 W, 220V and 100W, 220V respectively. Both are connected in series to a 220V a.c. mains . Calculate the power consumed by (i) the heater and (ii) electric bulb. [Ans. 13.98W; 69.89W] 23.Calculate the number of electrons moving per second through the filament of an electric lamp of 60W operating at 220V. [Ans. 1.7 × 𝟏𝟎𝟏𝟖 ] 24.A battery of e.m.f. E and internal resistance r gives a current of 0.5 A with an external resistor of 12 and current of 0.25 A. Calculate (i) internal resistance of the cell and (ii) e.m.f. of the cell. [Ans. 1; 6.5 V ] 25.Four identical cells, each of e.m.f. 2V, are joined in parallel providing supply of current to external circuit consisting of two 15 resistors joined in parallel. The terminal voltage of the cells, as read by an ideal voltmeter is 1.6V. Calculate internal resistance of each cell. [Ans. 7.5] 26.Two cells of e.m.f. 1.5V and 2.0V having internal resistance 1 ohm and 2 ohm respectively are connected in parallel so as to send the current in the same direction through an external resistance of 5 ohm. (a) Draw the circuit diagram. (b) Using Kirchhoff’s laws, find the current through each branch of the circuit and potential difference across 5 ohm resistance. [Ans. 0.0294A; 0.265A; 0.294A;1.47V] 27.In a Wheatstone bridge network P and Q, the ratio arms are approximately equal. When R = 500 ohms, the bridge is balanced. On interchanging P and Q, the value of R for balance is 505 ohm. Find the value of S and ratio P : Q. [Ans. 502.5; 1 : 1.005] 28.In a potentiometer arrangement, a cell of e.m.f. 1.20V gives a balance point at 30.0 cm length of wire. If this cell is re;laced by another cell and the balance point shifts to 65.0 cm, what is the e.m.f. of the second cell? [Ans. 2.6V] 29.A 10 m long wire of uniform cross section and 20 resistance is used in a potentiometer. The wire is connected in series with a battery of 5V along with an external resistance of 480. If an unknown e.m.f. E is balanced at 6 m length of the wire. Calculate the potential gradient of the potentiometer wire and value of unknown e.m.f. E. [Ans. 0.02 V/m; 0.12V] 30.A potentiometer wire is 100 m long and a constant potential difference is maintained across it. Two cells are connected in series first to support one another and than in opposite direction. The balance points are obtained at 50 cm and 10 cm from the same end of the wire in the two cases. Find the ratio of e.m.f.’s [Ans. 3:2 ]