AP Free Response Question
2000 B3
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Three identical resistors, each with resistance R, and a capacitor of 1.0 x 10
^{-9}
F are connected to a 30 V battery with negligible internal resistance, as shown in the circuit diagram above. Switches S
_{1}
and S
_{2}
are initially closed, and switch S
_{3}
is initially open. A voltmeter is connected as shown.
(a) Determine the reading on the voltmeter.
(b) Switches S
_{1}
and S
_{2}
are now opened, and then switch S
_{3}
is closed. Determine the charge Q on the capacitor after S
_{3}
has been closed for a very long time.
(c) After the capacitor is fully charged, switches S
_{1}
and S
_{2}
remain open, switch S
_{3}
remains closed, the plates are held fixed, and a conducting copper block is inserted midway between the plates, as shown below. The plates of the capacitor are separated by a distance of 1.0 mm, and the copper block has a thickness of 0.5 mm.
i. What is the potential difference between the plates?
ii. What is the electric field inside the copper block?
iii. On the diagram above, draw arrows to clearly indicate the direction of the electric field between the plates.
iv. Determine the magnitude of the electric field in each of the spaces between the plates and the copper block.
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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