PHY 9C Arkansas State University Electricity and Magnetism Homework 3

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Xunjnarrw

Science

PHY 9C

Arkansas State University

PHY

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PHY 9C Electricity & Magnetism Homework 3 Instructions: Upload your answers to Gradescope by 8 May 2020 (Friday) 11:59PM. Make sure that your work is clearly written and ensure that you have tagged the appropriate pages for the corresponding problems. Problem 1: For the resistor networks given below, find the equivalence resistance between points a and b: (a) (b) All the resistors have an identical resistance of R = 1Ω. (c) Hint: What is the resistance of the network to the right of c and d?. Page 1 of 4 Homework 3 PHY 9C Problem 2: (a) In the circuit below, C1 = C5 = 8.4 pF and C2 = C3 = C4 = 4.2 pF. A potential difference Vab = 220 V is applied across the points a and b. (i) Calculate the equivalent capacitance between the points a and b. (ii) Calculate the charge on and potential difference across each of the capacitors. (b) For the capacitor network given below, find the equivalent capacitance between the points a and b Page 2 of 4 Homework 3 PHY 9C Problem 3: Consider the circuit shown below. (a) Find the currents I1 , I2 and I3 (b) Find the potential difference Va − Vb across the two points a and b. Problem 4: Consider the circuit shown below. The capacitor is initially uncharged. The switch is closed at t = 0. (a) Immediately after the switch is closed, what is the current through each resistor? (b) What is the final charge on and potential difference across the capacitor after a sufficiently long period of time has elapsed? (c) After the capacitor has been fully charged, the switch is re-opened. What is the current through each resistor? Page 3 of 4 Homework 3 PHY 9C Problem 5 (a) An initially uncharged capacitor with C = 6.00 µF is connected in series with a resistor R = 5.00 Ω and a battery E = 50.0V. At a certain instant in time, the resistor is dissipating electrical energy at a rate P = 250W . What is the amount of energy that has been stored in the capacitor at this point in time? (b) Show that, of the total energy drawn from a battery of emf E in charging a capacitor of capacitance C via a resistor of resistance R, half ends up being dissipated by the resistor. Page 4 of 4
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