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PHY 132–701 Oakton Community College Summer 2012 Practice Test 2 Ten questions Useful formulas: F Ui 4 0 r 2 qj qi 4 0 r ji Cseries R U total C A Rseries = R1 + R2 1 nm = 10–9 m 1 4 0 Q A V d 1 1 C1 C2 L 1 q rˆ 4 0 r 2 ij K 0 1 E q1 q 2 1 qi q j U q0 rij V 0 U V 1 qq0 4 0 r 1 4 0 Q r Q2 1 1 QV CV 2 2C 2 2 u 1 2 E 2 P = IV 1 1 1 Rparallel R1 R2 1 µm = 10–6 m me = 9.11 × 10–31 kg i j Qenclosed Cparallel C1 C2 U stored V = IR E E A I 0 V 0 loop junction 1 pF = 10–12 F mp = 1.67 × 10–27 kg = RC i C 0 = 8.854 × 10–12 F/m k 1 4 0 8.99 10 9 q C t e = 1.602 × 10–19 C Nm2 C2 1 of 6 PHY 132–701 Oakton Community College Summer 2012 Practice Test 2 1) In a given x-y plane, a particle q1, with a 20.0 nC charge, sits at the point (0.000 m, 0.400 m). A particle q2, whose charge is –20.0 nC, sits at (0.300 m, 0.000 m). Give the electric potential (voltage) at the origin due to these two charges. 2) An electron is accelerated from rest through a potential difference 1200 V. Give the electron’s kinetic energy after this acceleration a) in electron-volts, b) in joules. 2 of 6 PHY 132–701 Oakton Community College Summer 2012 Practice Test 2 3) One proton is held motionless, and another is launched directly at it from a very large distance. If the initial velocity of the second proton is v1 = 1.00 × 104 m/s, how close does it get to the first? 4) A parallel plate capacitor has plates that are 3.00 mm × 3.00 mm, and a separation of 2.00 µm. What is its capacitance when the dielectric filling the space between is a) vacuum (K = 1), b) mylar (K = 5.0)? 3 of 6 PHY 132–701 Oakton Community College Summer 2012 Practice Test 2 5) For the given configuration of capacitors: a) what is the equivalent capacitance, b) how much charge is stored on the equivalent capacitance when Vab is 10.0V? + 3.0 µF Vab 4.0 µF 2.0 µF – – 6) You are given a wire with a diameter d = 5.00 mm and length L =10.0 m. What is the resistance of the wire if it is made of a) aluminum, Al = 2.75 × 10–8 m, b) copper, Cu = 1.72 × 10–8 m ? 4 of 6 PHY 132–701 Oakton Community College Summer 2012 Practice Test 2 7) Find the equivalent resistance for this collection of resistors. 20 12 76 96 Req 8) In the circuit below, determine how much power is delivered to the 4 k resistor. 2 k 10 V + – 4 k 2 k 5 of 6 PHY 132–701 Oakton Community College Summer 2012 Practice Test 2 9) In the circuit below, determine how much current is flowing through each of the three resistors. 20 k 20 k 2.0 V + – + 5.0 V 20 k – 10) In the circuit below, the capacitor is initially uncharged, and the switch is closed at t = 0. a) The moment after the switch is closed, what is the current in the resistor? b) How long does it take for the resistor current to decrease to half of the value from part a? t=0 100 k 5.0 V + – 10.6 µF 6 of 6