AP Free Response Question
2002 C2 E&M
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Your engineering firm has built the RC circuit shown above. The current is measured for the time
t
after the switch is closed at t = 0 and the best fit curve is represented by the equation
where
i(t)
is in milliamperes and
t
is in seconds.
a. Determine the value of the charging voltage V
_{o}
predicted by the equation.
b. Determine the value of the capacitance C predicted by the equation.
c. The charging voltage is measured in the laboratory and found to be greater than predicted in part a.
i. Give one possible explanation for this finding.
ii. Explain the implications that your answer to part i has for the predicted value of the capacitance.
d. Your laboratory supervisor tells that you the charging time must be decreased. You may add resistors or capacitors to the original components and reconnect the RC circuit. In parts i and ii below, show how to reconnect the circuit, using either an additional resistor or a capacitor to decrease the charging time.
i. Indicate how a resistor may be added to decrease the charging time. Add the necessary resistor and connections to the following diagram.
ii. Instead of a resistor, use a capacitor. Indicate how the capacitor may be added to decrease the charging time. Add the necessary capacitor and connections to the following diagram.
Topic Formulas
Description
Published Formula
Ampere's Law
Biot-Savat Law
capacitance
capacitance (dielectric)
capacitors in parallel
capacitors in series
Coulomb's Law
current density
electric current
electric current
electric field
electric field strength
electric potential energy
energy stored in a capacitor
energy stored in an inductor
Faraday's Law
force ona current-carrying wire
Gauss' Law
induced emf (inductor)
induced emf (magnetism)
Joule's Law
magnetic field around a current-carrying wire
magnetic field of a solenoid
magnetic flux
magnetic force on a moving charge
motional emf
Ohm's Law
potential due to a collection of point charges
resistance in parallel
resistance in series
resistivity
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Magnetic Field in a Solenoid
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Parallel and Series Circuits
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Resource Lesson:
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A Comparison of RC and RL Circuits
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A Guide to Biot-Savart Law
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A Special Case of Induction
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Ampere's Law
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An Introduction to DC Circuits
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Capacitors and Dielectrics
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Dielectrics: Beyond the Fundamentals
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Electric Field Strength vs Electric Potential
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Electricity and Magnetism Background
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Filaments
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Inductors
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Kirchhoff's Laws: Analyzing Circuits with Two or More Batteries
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Kirchhoff's Laws: Analyzing DC Circuits with Capacitors
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LC Circuit
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Magnetic Field Along the Axis of a Current Loop
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Magnetism: Current-Carrying Wires
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Maxwell's Equations
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Meters: Current-Carrying Coils
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Parallel Plate Capacitors
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RC Time Constants
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RL Circuits
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Spherical, Parallel Plate, and Cylindrical Capacitors
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Torque on a Current-Carrying Loop
Worksheet:
APP -
The Circuit Rider
APP -
The Cycle Shop
CP -
DC Currents
CP -
Electric Power
CP -
Ohm's Law
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Parallel Circuits
CP -
Power Production
CP -
Power Transmission
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RIVP Charts #1
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RIVP Charts #2
CP -
Series Circuits
NT -
Brightness
NT -
Light and Heat
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Parallel Circuit
NT -
Series Circuits
NT -
Shock!
WS -
Capacitors - Connected/Disconnected Batteries
WS -
Combinations of Capacitors
WS -
Induced emf
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Introduction to R | I | V | P Charts
WS -
Kirchhoff's Laws: DC Circuits with Capacitors
WS -
Kirchhoff's Laws: Sample Circuit
WS -
Resistance, Wattage, and Brightness
TB -
34A: Electric Current
TB -
35A: Series and Parallel
TB -
Advanced Capacitors
TB -
Basic Capacitors
TB -
Basic DC Circuits
TB -
Electric Field Strength vs Electric Potential
TB -
Multiple-Battery Circuits
TB -
Textbook Set #6: Circuits with Multiple Batteries
CB-ETS
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