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This question paper consists of 4 questions on 4 printed pages. List of physical constants: Absolute zero, 0 K = −273 .15 ℃ Charge of electron, e = 1.60 × 10 −19 C Coulomb’s constant, ke = 8.99 × 10 9 N m2/C2 Electron volt, 1 eV = 1.60 × 10 −19 J Mass of electron, me = 9.11 × 10 −31 kg Mass of proton, mp = 1.67 × 10 −27 kg Permittivity of free space, εo = 8.85 × 10 −12 F/m Q1. (a) In Figure 1.1 , given that q = 5.00 µC and d = 1.50 m, find the magnitude and direction of the net electrostatic force exerted on point charge q2. Figure 1.1 (b) A test charge of 12.0 nC with weight of 20.6 N is experiencing a zero net force when it is placed in an electric field of 3.00 kN/C . (i) Calculate the magnitude of the electric force acting on the charge . (ii) State the direction of the electric field . Q2. (a) A negative point charge , q is moving from point X to point Y against the direction of an electric field lines of strength 300 N/C. Given that t he work done by the electric field is 12.0 kJ and assume the electric field strength is uniform , calculate (i) the potential energy diff erence, (ii) the potential difference between X and Y if the magnitude of the charge is 5.00 µC, and (iii) the distance between X and Y. 2 FHSC10 24 THERMODYNAMICS AND ELECTROMAGNETISM This question paper consists of 4 questions on 4 printed pages. (b) A parallel plate capacitor has an insulator of dielectric constant 2.20. The surface area of the metal plates used in the capacitor is 1.42 cm 2 each. (i) Determine the capacitance of the capacitor, if the distance between the two parallel plates is 2.5 0 mm. (ii) The capacitor in Q2. (b) (i) is then charged with a battery of 6.0 0 V. Calculate the total amount of charge stored in the capacitor. (iii) If the insulator is removed, state the change to the capacitance determined in Q2. (b) (i). Q3. (a) A wire with a length of 1.00 m has a resistance of 18.6 Ω at 20.0 °C and 105 Ω at 145 °C . Calculate (i) the temperature coefficient of th e wire , and (ii) the resist ivity of the wire at 20 .0 ℃ if its diameter is 12.0 mm. (b) A circuit is setup as shown in Figure 3.1. Given C1 = C2 = 10 0 µF and C3 = C4 = 20 0 µF. Calculate Figure 3.1 (i) the equivalent capacitance in the circuit, and (ii) the total potential energy stored in the circuit if V is 12.0 V . 3 FHSC10 24 THERMODYNAMICS AND ELECTROMAGNETISM This question paper consists of 4 questions on 4 printed pages. Q4. A circuit is constructed as shown in Figure 4.1 . Figure 4.1 Calculate I1, I2 and I3.