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Weekly Quiz 1 Name:___________________________________________________ Score:__________ /5 Use of calculators is not permitted on this quiz. ¿ Q1-1 (1-point) What is the SI unit for resistance? ¿ Q1-2 (2-points) Draw a circuit diagram for the following picture of a circuit. Use the resistor symbol for a light bulb and the voltage source symbol battery (larger line for positive terminal). for the ¿ Q1-3 (1-point) Will the battery wired to the ground (shown below) discharge current into the ground (‘yes’ or ‘no’)? ¿ Q1-4 (1-point) Which picture shows the correct method for measuring current with a DMM? Weekly Quiz 2 Name:___________________________________________________ Score:__________ /5 Use of calculators is not permitted on this quiz. ¿ Q2-1 (2-points) Draw several (at least 8) magnetic field lines surrounding the bar magnet below. Be sure to include the correct direction. ¿ Q2-2 (1-point) In the following picture, draw what the compass needle would look like for a compass placed next to a bar magnet. Remember that the arrow-tip end of the compass needle is a north magnetic pole. ¿ Q2-3 (1-point) Which kind of material is more likely to experience microscopic charge separation in the presence of a charged object: conductor or insulator? ¿ Q2-3 (1-point) When a conductor is given a net charge, on what part of the conductor are the excess charges to be found? Weekly Quiz 3 Name:___________________________________________________ Score:__________ /5 Use of calculators is not permitted on this quiz. Next week, calculators will be allowed henceforth on all the quizzes. ¿ Q3-1 (1-point) A free electron is placed in the 1-dimensional electric potential shown below. To which point will the electron move, A or B? ¿ Q3-2 (1-point) In the picture of the CRT above, which set(s) of parallel plates cause deflection? ¿ Q3-3 (3-points, 1/2-point per question, round score up to nearest integer.) Correctly write "true" or "false" next to each of the following statements: a) An electric force will push an electron in the direction of lower electric potential, V. b) An electric force will push a proton in the direction of lower electric potential, V. c) An electric force will push an electron in the direction of the electric field, E. d) An electric force will push a proton in the direction of the electric field, E. e) An electric force will push an electron in the direction of lower electrical potential energy, U. f) An electric force will push a proton in the direction of lower electrical potential energy, U. Weekly Quiz 4 Name:___________________________________________________ Score:__________ /5 Use of calculators is not permitted on this quiz. An object is subjected to the potential energy shown in the graph below. Four positions of interest are labeled along the x-axis: A, B, C, and D. This picture is used for questions 1 and 2. ¿ Q4-1 (1-point) At which of the four labeled points along the x-axis is the particle in stable equilibrium? ¿ Q4-2 (1-point) At which of the four labeled points along the x-axis is the force on the particle greatest in magnitude and in which direction is this force? ¿ Q4-3 (1-point) Does an proton feel a force pushing it to areas of higher voltage or lower voltage? ¿ Q4-4 (2-points) A negatively charged object is placed in an external electric field caused by other charges. Some of the electric field vectors in the area around the negatively charged object are shown below. In what direction will the negative test charge feel a force from this electric field? (Assume the charge is too small to alter the surrounding electric field.) Weekly Quiz 5 Name:___________________________________________________ Score:__________ /5 Use of calculators is permitted on this quiz. ¿ Q5-1 (1-point) The above graph describes the current response to an applied voltage for a non-ohmic component (non-constant resistance). Determine whether the component's resistance increases or decreases with increasing applied voltage. ¿ Q5-2 (4-points) a) In the above circuit, find the total resistance of the circuit (assume an ideal battery is used). b) In the above circuit, find the current through the battery. c) In the above circuit, find the current through each resistor. d) In the above circuit, find the voltage drop across each resistor. Weeky Quiz 6 Name:___________________________________________________ Score:__________ /5 Use of calculators is permitted on this quiz. ¿ Q6-1 (2-points) Estimate the period and amplitude for the sinusoidally oscillating voltage shown on the oscilloscope screen above. ¿ Q6-2 (2-points) Given the time-dependent sinusoidal function for an oscillating voltage with time measured in seconds, V (t ) 6 sin( 2 120 t ) [V] answer the following. a) What is the voltage amplitude Vamplitude (in SI Units)? b) What is the linear frequency f (in SI units)? c) What is the angular frequency (in SI units)? d) What is the period T (in SI units)? ¿ Q6-3 (1-point) Given the time-dependent sinusoidal function for an oscillating voltage with time measured in seconds, V (t ) 10 sin( 12,000 t ) [V], find the first three times after t=0 [s] when the voltage is zero. Weekly Quiz 7 Name:___________________________________________________ Score:__________ /5 Use of calculators is permitted on this quiz. ¿ Q7-1 (1-point) Which function represents the time dependent charge on a discharging capacitor? Circle the correct equation: Q Cap (t) Qoe ¿ Q7-2 (2-points) t RC t Q Cap (t) Qmax 1 e RC or For a capacitor with capacitance of C 1.0 x10 3 [F] and an initial voltage of V capacitor 9 [V] what will the initial charge Q Cap (0) on the capacitor be (in SI units)? ¿ Q7-3 (2-points) For the capacitor circuit with the time dependence of the capacitor charge t RC described by the equation Q Cap (t) Qmax 1 e , will the charge on the capacitor (Circle the answer(s) below that are correct.) a) asymptotically approach a constant value over time, b) rise without limit, or c) approach zero? Weekly Quiz 8 Name:___________________________________________________ Score:__________ /5 Use of calculators is permitted on this quiz. ¿ Q8-1 (1-point) The above graph shows the three time dependent voltages of the sinusoidally driven RC circuit. Label which is the source voltage and which is the capacitor voltage in the above graph. You may find some of the following equations handy that describe the various aspects of this circuit: Vsource (t ) Vsource sin( D t ) amplitude R VR (t) Vsource sin( Dt) Z amplitude VC (t) C Vsource sin Dt Z amplitude 2 arctan C R 1 C DC Z R2 C2 ¿ Q8-2 (4-points) If your circuit has Vsource 2 [V] , R 10,000 [] , C 1x10 -7 [F] , and amplitude D 1,500 [radians/s ec] find the following values (in SI units): XC = Z= VR(t) = VR,amplitude. = Weekly Quiz 9 Name:___________________________________________________ Score:__________ /5 Use of calculators is permitted on this quiz. ¿ Q9-1 (2-points) In the above picture describing motor operation, does the current change direction through the magnetic field after the wire loop has rotated 180o? ¿ Q9-2 (1-point) If an electron is moving with velocity v 3x10 6 [m/s] zˆ in the direction of a magnetic field B 2 [T] zˆ , what is the magnitude of the magnetic force on the electron predicted by the Lorentz force equation for particles F q v B ? Note that qe 1.60 x1019 [coul] . ¿ Q9-3 (1-point) If a wire of length L 0.6 [m] x̂ carrying a current I 2.2 [A] perpendicular to the direction of a magnetic field B 2 [T] yˆ , what is the magnitude of the magnetic force on the wire predicted by the Lorentz force equation for current carrying wires F I L B ? Note that xˆ yˆ zˆ , the cross product. ¿ Q9-4 (1-point) The figure below shows a current carrying wire passing between two magnets. In which direction (if any) will the wire feel a force? Weekly Quiz 10 Name:___________________________________________________ Score:__________ /5 You may use your lab manual to take this quiz. Use of calculators is permitted on this quiz. ¿ Q10-1 (1-point) Which of the following two equations used for calculating the magnetic field of a current carrying wire is Ampere's law? Circle the correct one: B ds o I ¿ dB o I ds rˆ 4 r2 . Q10-2 (2-points) Find the magnetic flux B through a single circular loop of wire of radius a 0.2 [m] enclosing a static, spatially uniform magnetic field of B 3 [T] xˆ . ¿ Q10-3 (2-points) A single circular loop of wire of radius a 0.2 [m] encloses a sinusoidally oscillating, spatially uniform magnetic field B(t ) 3 cos500t [T] xˆ . Use the dB Faraday's law L (t ) to calculate the induced voltage across the wire dt loop as a function of time, L (t ) . Note that since the area is not changing, d dB(t ) B Area dt dt Weekly Quiz 11 Name:___________________________________________________ Score:__________ /5 You may use your lab manual to take this quiz. Use of calculators is permitted on this quiz. The following formulas may be helpful during this quiz: V (t ) source Vsource sin drivet shift amplitude R Vsource sin drivet Z amplitude V (t ) capacitor C Vsource sin drivet Z amplitude 2 V (t ) inductor L Vsource sin drivet Z amplitude 2 V (t) resistor ¿ Q11-1 (2-points) Using the above picture, determine the following: a. Which component's voltage always differs from the inductor's voltage by /2? b. Put the following in order from greatest to smallest: R , C , L . ¿ Q11-2 (1-point) Since Z R 2 L C 2 , is it possible for Z to have a smaller value than C ? ¿ Q11-3 (2-points) In a sinusoidally driven RLC circuit, R 3 [] , C 10 [] , L 6 [] , and I amp 10 [A] . Use this information to order write the time dependent equation for the inductor voltage. Weekly Quiz 12 Name:___________________________________________________ Score:__________ /5 You may use your lab manual to take this quiz. Use of calculators is permitted on this quiz. ¿ Q12-1 (1-point) Can the human ear detect vibrations at radio wave (carrier wave) frequencies? ¿ Q12-2 (1-point) The response of the current amplitude to different driving frequencies for two sinusoidally driven RLC circuits is shown above. If both circuits have the same capacitance and inductance, which circuit has the largest resistance, A or B? ¿ Q12-3 (1-point) Which law of physics can be used to explain the induced currents in radio receiving circuits? ¿ Q12-4 (2-points) The above graph shows a modulated wave. It has a carrier wave component and an envelope wave component. What is the frequency of the carrier wave? Makeup Quiz Name:___________________________________________________ Score:__________ /5 You may use your lab manual to take this quiz. Use of calculators is permitted on this quiz. ¿ Q13-1 (2-points) For a sinusoidally driven RLC circuit with a source voltage described by the 100 t .1 i [V] , find the real source voltage complex phasor V (t ) source 8e when t=1 [ms]. ¿ Q13-2 (1-points) Below is a graph showing three of the four phasor voltages for a sinusoidally driven RLC circuit (at a particular moment in time). Sketch the missing source voltage phasor on the graph below. No math is necessary; an approximate answer with the correct features will suffice. (Hint: energy should be conserved.) ¿ Q13-3 (2-points) A sinusoidally driven RLC circuit has a frequency of f 1,100 Hz or 1 2f 6912 and a source voltage amplitude of Vsource, 0 10 [V] . s The components are chosen so that at this frequency R 3 [] , C 10 [] , 2 L 6 [] and thus Z R 2 L C 5 [] . R C This gives VR, 0 Vsource 6 [V] , VC, 0 Z VL, 0 L Z Vsource amplitude Z Vsource 20 [V] , and amplitude 12 [V] . amplitude L C o 0.93 radians 53.1 . R It also indicates that shift arctan 6912t 0.93 i [V] Thus V (t ) source 10e V (t ) capacitor 20e 6912t i 2 [V] V (t ) resistor 6e 6912t i [V] V (t ) inductor 20e 6912t i 2 [V] Find the real and imaginary components of the capacitor voltage for t=0 [s].