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1/6 Name of Student: NAME OF UNIT: ELECTRIC CURRENT 1 2 GRADE XII SUBJECT: PHYSICS WORKSHEET NO:3 State the principle of a potentiometer. Name two factors that decide the sensitivity of a potentiometer. Explain with reason how the balance point shift when (a) R is increased (b) S is increased (c) emf of cell Q is greater than that of cell P (d) Cell P is replaced by another cell of lower emf (e) connecting a resistance parallel to Q (in each case assume other factors to be constant.) Calculate the value of the resistance R in the circuit shown in the figure so that the current in the circuit is 0.2 A. What would be the potential difference between points A and B? 3 4 Which one you prefer to measure the emf of a cell, voltmeter or potentiometer, why? In the figure a long uniform potentiometer wire AB is having a constant potential gradient alongits length. The null points for the two primary cells of emfs E1and E2 connected in the manner shown are obtained at a distance of 120 cm and 300 cm from the end A. Find (i) E1 / E2 and (ii) position of null point for the cell E1. How is the sensitivity of a potentiometer increased? 5 In the circuit shown, R1 = 4 Ω, R2 = R3 = 5 Ω, R4 = 10Ω and E = 6V. Work out the equivalent resistance of the circuit and the current in each resistor. 6 Two cells E1 and E2 of EMF’s 5 V and 9 V and internal resistances of 0.3Ω and 1.2Ω respectively are connected to a network of resistances as shown in the figure. Calculate the value of current flowing through the 3Ω resistance. 1/4 2/6 7 8 Three cells of e.m.f., E1 = 1.5 V, E2 = 2.0 V and E3 = 3 V, having internal resistances r1 = 0.3 Ω, r2 = 0.4 Ω and r3 = 0.6 Ω respectively are connected in parallel and then in series. Find out the equivalent e.m.f. and the equivalent resistance of a cell which can replace the series and parallel combination. Explain with reason the change in brightness of the bulbs, if any , if the resistance of the rheostat is increased. 14 In the meter bridge experimental set up, shown in the figure, the null point ‘D’ is obtained at a distance of 40 cm from end A of the meter bridge wire. If a resistance of 10 Ω is connected in series with R1, null point is obtained at AD = 60 cm. Calculate the value of R1 and R2. 14 When the galvanometers in each arrangement do not show any deflection, obtain the ratio R1 / R2 . 15 A resistance R =5Ω is connected to one of the gaps in a metre bridge, which uses a wire of length 1 m. An unknown resistance X is connected in the other gap as shown in the figure. The balance point is noticed at ‘l’ cm from the positive end of the battery. On interchanging R and X, it was found that the balance point further shifts by 20 cm away from end A. Neglecting the end correction, calculate the valueof unknown resistance X used. 3/4 4/6 16 A potentiometer wire of length 1 m is connected to a driver cell of emf 3 V as shown in the figure. When a cell of 1.5 V emf is used in the secondary circuit, the balance point is found to be 60 cm. On replacing this cell and using a cell of unknown emf, the balance point shifts to 80 cm. Calculate the unknown emf . 17 Two wires X, Y have the same resistivity, but their cross-sectional areas are in the ratio 2 : 3 and lengths in the ratio 1 : 2. They are first connected in series and then in parallel to a d.c. source. Find out the ratio of the drift speeds of the electrons in the two wires for the two cases. 18 Calculate the value of the unknown potential V for the given potentiometer circuit. The total length (400 cm) of the potentiometer wire has a resistance of 10 Ω and the balance point is obtained at a length of 240 cm. 19 The plot of the variation of potential difference across a combination of three identical cells in series, versus current is as shown below. What is the emf of each cell ? 20 Calculate the current drawn from the battery in the given network. 4/4