AP Free Response Question
2007 B3
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The circuit above contains a battery with negligible internal resistance, a closed switch
S
, and three resistors, each with a resistance of
R
or
2R
.
(a) Currents
i. Rank the currents in the three resistors from greatest to least, with number 1 being greatest. If two resistors have the same current, give them the same ranking.
ii. Justify your answers.
(b) Voltages
i. Rank the voltages across the three resistors from greatest to least, with number 1 being greatest. If two resistors have the same voltage across them, give them the same ranking.
ii. Justify your answers.
For parts (c) through (e), use
= 12 V and R = 200 ohms.
(c) Calculate the equivalent resistance of the circuit.
(d) Calculate the current in resistor R
_{c}
.
(e) The switch S is opened, resistor R
_{B}
is removed and replaced by a capacitor of capacitance 2.0 x 10
^{-6}
F, and the switch S is again closed. Calculate the charge on the capacitor after all the currents have reached their final steady-state values.
Topic Formulas
Description
Published Formula
capacitance
capacitors in parallel
capacitors in series
Coulomb's Law
electric current
electric field
electric potential energy
energy stored in a capacitor
Joule's Law
Ohm's Law
parallel-plate capacitor
potential and electric field strength
potential due to a collection of point charges
resistance in parallel
resistance in series
resistivity
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Parallel Circuits
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Power Transmission
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RIVP Charts #2
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Standard Model: Particles and Forces
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Basic Capacitors
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