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exam 1 spring 06 solutions

# exam 1 spring 06 solutions - Physics 41 Midterm Exam 1 17...

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Unformatted text preview: Physics 41 Midterm Exam 1 17 October 2006 1. A standard connection using a voltmeter and anuneter to determine the electrical power being transferred to a load R1, is shown below. The voltmeter reads 40 V and the ammeter reads 50 mA, so the nominal power to the load is estimated to be 2.00 W. The resistance of the ammeter is 80 S2 and the resistance of the voltmeter is 25 k9. b5? RL (a) What is the true power being delivered to the load resistor RL? iv , L/o we 4, A _. ___..—— _: l: m ’25 EH. (PL , V ;L : (vol/.owcf) : L456 W (b) What is the true power being drawn from the source? V5 = 5572;“ +'V : (0.05X80) 4' ’40 = W "“1" fps: V565: Lftf(.0§) = 2.20 IA) 2. In the circuit shown below switch S has been open for a long time. (a) What is the value of 'vo? M 5% W {My 6% '6”th Lydia W (M +12, v25! 5'1"” M:c9 O (b) At time t = 0, switch S is instantaneously closed. What is the value of the current drawn from the voltage source V immediately after S is closed? ”(Lo/u. i4 344: Wreﬁaﬁlwéz acme—w C) M49. M W+ *Aﬂﬂxpx‘ L We. v £=_. 73: ((3) Switch S has been closed for a long time so any currents in the circuit have reached steady values. What is the value of the current drawn from the voltage source V? Carwﬁ ML «14' 51‘an so ﬁne (-7 we w—fﬂﬂmu Amp W L Law, an mm (as man. a M: W! a 2. limb Uri-lg ﬂit/7‘ ML vrﬁ'ﬂ‘b Amp W C is V ((1) After switch S has been closed for a long time, it is instantaneously opened. What is the output voltage to immediately after S has been opened? ﬁts Viv/#32; 51pr C 6.444 M71 Misfire. Web Vo=V.—=-l :V(,-'K‘. .st 2;) (e) How does the output voltage no change with time after S has been opened? Aimaitméw deem/”7’44 1 4a ﬂcsmw do Mien EJWSLWCW-7ll’nc 9M.W¢9 25f!“ amen/a4 (2/. “hid/631% hfrdzqu é ggaco W7?! WM we.) cwaﬁwﬁ 51“.. amigos .. t/ﬁzc - ‘6 /(L/2‘) Va : V6 - V E' e 3.1 A dc voltage source is connected to a network of resistors as shown below. The rate at which the 8 Q resistor is being heated is L --3' ‘0 i 6 4/ we!) 8 W = 27:,“ (c) 10 W 8 T“ f (d) 12.5 W 10 V 3 {0 4 4 C : '3 7 IL A 'LO 3.2 An electric stove is powered by a 60-Hz ac voltage source. The rms value of the source voltage is 220 V. The stove has two resistive heating elements R1 = 40 S2 and R2 = 60 52 that can be swtched in one at a time, or placed in series or parallel, making four possible cembinations. The maximum possible average heating rate is . 4033 W (c) 1210 W (d) 807 W (e) 484 W 3.3 An ideal transformer is used to connect an ac voltage source to a load resistor as shown below. The maximum rate at which the resistor R is being heated is (a)0 (b 0.005V2/R .01V2/R (d) 0.5v2/R + (e) V2/R Vsin((nt) a 100 10 M; R - 3L 4: 0&5 %V3Mw£) ' ‘0 SW,“ ) , v WAX ‘62, ’ T5 1, ‘L v .010 em“ L M ., f it 3.4 The input voltage em to the ﬁlter shown below has been zero for a long time. Then at time t = 0 a voltage step of amplitude V is applied to the input. At time t 2 R0 the output voltage Dam is (a 0 .368 V c 0.632V (d) V 3.5 An ac voltage source is connected in series with a capacitor and resistor as shown below. The resistor and capacitor values satisfy the relation wRC = 1. The amplitude of the source is V0. The maximum voltage difference across the resistor is (no c an o/x/i (d) V0 VoSin((0t) R. (e) ﬁve . ,— V0 V6 I , V0 1/?— who; -" 7 7., J. 1 1 "' -—--' .L 1. % CKHmld aci+gd)1 3 1%. 5mm wees! - Va ’3 7’ ﬁrm», at , E 3.6 A dc voltage source is cormected to an open-ended 90 (2 transmission line by the switching arrangement shown below. A pulse can travel the full length of the line in a time of 20 ns. The switch is initially at position 1 with the line completely discharged. The switch is then instantaneously thrown to positiOn 2. After the switch has been at position 2 for 40 ns the voltage difference across the line at its midpoint P is (a)0 (msiv @9ov ‘- 10V 1m 2 38v mi 14 P V+Uiczv =18 ...
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exam 1 spring 06 solutions - Physics 41 Midterm Exam 1 17...

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