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Electrostatic Potential and Capacitors 1. 2 ) Find the charge on 4uF capacitor in the given circuit. (3) 3). A parallel plate capacitor of plate area 2m2 and plate separation 5mm is changed to 10,000 volt in air. Calculate a. Capacitance b. Charge and charge density on each plate c. Field strength in the space between the plates d. Energy stored in the capacitor (2 1/2 mark) 4). Capacitance of a conductor is the ratio of charge to potential difference. (a). If you plot a graph between Q and V what will be the shape of the graph? Score:1 (b). The capacity of a parallel plate capacitor is 15 microfarad when a dielectric substance of dielectric constant K=3 replaces air. What is the capacitance with air in between the plates? Score:2 5). By giving charges to a body its potential rises. These are related quantities. (a) What is the principle of a capacitor? (b) Define capacity and capacitance of a capacitor. (c) A man fixes on an evening, outside his house an aluminium sheet of area 1 m2, at a height of 2 m on the top of an insulating stand. Will he get a fatal shock next morning on touching it? [1+1 +2 = 4] 6). A capacitor is an arrangement of conductors to increase the capacitance of a conductor. a) What is the principle of a capacitor? (1) b) Identify the various factors on which the capacitance of a parallel plate capacitor depends.( ½) 7) Four capacitors are connected as shown in figure. Calculate the equivalent capacitance between X and Y. 3scores. 8).Capacitance can be connected in series and parallel with a circuit. a. How will you connect two capacitors in a circuit in order to increase its effective capacitance? (1) b. Select a suitable capacitor in the place of C so that effective capacitance in the given circuit is 1F. (2) 9). a. Write down the relation connecting E and V b. Whether there is a potential at a point with zero intensity of electric field? Justify. 10)(a) Given n capacitors each of capacitance C. How will you combine them to get (i) maximum capacitance; what is the maximum capacitance? 1 (ii) minimum capacitance; what is the minimum capacitance? 1 (b) Draw the graph showing the variation of capacitance of a parallel plate capacitor with distance of separation between the plates. 1 11) 12). Capacitor is a device used to store electric charge and energy . a. What is the principle of a capacitor? (2) b. A 10V battery is connected to 2 identical capacitor A and B , if a material of dielectric constant 3 is present between the plates of B. The potential difference between A and B are respectively? (2) c) In a certain region 0.1 m3 of space, electric potential is found to be 5V throughout. What is the electric field in this region? [1] d) Write down the dimensional formula of potential? [1] 13 Two charges 3C and - 3C are placed at points A and B 6 cm apart. a) Identify an equipotential surface of the system. (1) b) What is the direction of electric field on this system (1) 14).Two charges –q and +q are located at (0,0,-a) and (0,0,a) respectively. What is the electrostatic potential at (x,y,0)? (1 score) 15). a) What do you mean by Electrostatic shielding? b) A capacitor of capacitance 100 μF is connected to a discharge tube. The capacitor is charged by a 3 V battery (as shown in the given figure). The total energy stored in the capacitor is discharged through the discharge tube in 0.5 ms. what is the power rating of the discharge tube? [1 + 2]