AP Free Response Question
2007 B3
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.
CB-ETS
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