Exam 4: Capacitance

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Use the following figure to answer the next five problems:  Use the following figure to answer the next five problems:   -You connect three capacitors as shown in the diagram. C<sub>1</sub> = C<sub>3</sub> = 2.5  \mu F, and C<sub>2</sub> = 5.0  \mu F. A potential difference of 9.0 V is maintained between the terminals A and B. The magnitude of the charge on capacitor C<sub>3</sub> is approximately -You connect three capacitors as shown in the diagram. C1 = C3 = 2.5 μ\mu F, and C2 = 5.0 μ\mu F. A potential difference of 9.0 V is maintained between the terminals A and B. The magnitude of the charge on capacitor C3 is approximately

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  You want to use three capacitors in a circuit. If each capacitor has a capacitance of 3 pF, the configuration that gives you an equivalent capacitance of 2 pF between points x and y is You want to use three capacitors in a circuit. If each capacitor has a capacitance of 3 pF, the configuration that gives you an equivalent capacitance of 2 pF between points x and y is

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Which of the following statements about parallel plate capacitor is false?

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The equivalent capacitance of three capacitors in parallel is

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Doubling the potential difference across a capacitor

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If you decrease the charge on a parallel-plate capacitor from 12 µC to 4 µC and increase the plate separation from 1 mm to 3 mm, the energy stored in the capacitor changes by a factor of

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If you increase the charge on a parallel-plate capacitor from 3 µC to 9 µC and increase the plate separation from 1 mm to 3 mm, the energy stored in the capacitor changes by a factor of

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If the area of the plates of a parallel-plate capacitor is doubled, the capacitance is

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If the area of the plates of a parallel plate capacitor is halved and the separation between the plates tripled, then by what factor does the capacitance change?

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If a dielectric is inserted between the plates of a parallel-plate capacitor that is connected to a 100-V battery, the

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   A charged capacitor has an initial electric field   <sub>0</sub> and potential difference V<sub>0</sub> across its plates. Without connecting any source of emf, you insert a dielectric ( \kappa  > 1) slab between the plates to produce an electric field   <sub>d</sub> and a potential difference V<sub>d</sub> across the capacitor. The pair of statements that best represents the relationships between the electric fields and potential differences is A charged capacitor has an initial electric field    A charged capacitor has an initial electric field   <sub>0</sub> and potential difference V<sub>0</sub> across its plates. Without connecting any source of emf, you insert a dielectric ( \kappa  > 1) slab between the plates to produce an electric field   <sub>d</sub> and a potential difference V<sub>d</sub> across the capacitor. The pair of statements that best represents the relationships between the electric fields and potential differences is 0 and potential difference V0 across its plates. Without connecting any source of emf, you insert a dielectric ( κ\kappa > 1) slab between the plates to produce an electric field    A charged capacitor has an initial electric field   <sub>0</sub> and potential difference V<sub>0</sub> across its plates. Without connecting any source of emf, you insert a dielectric ( \kappa  > 1) slab between the plates to produce an electric field   <sub>d</sub> and a potential difference V<sub>d</sub> across the capacitor. The pair of statements that best represents the relationships between the electric fields and potential differences is d and a potential difference Vd across the capacitor. The pair of statements that best represents the relationships between the electric fields and potential differences is

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A 1.0- μ\mu F capacitor and a 2.0- μ\mu F capacitor are connected in series across a 1200-V source. The charge on each capacitor is

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  If C<sub>1</sub> < C<sub>2</sub> < C<sub>3</sub> < C<sub>4</sub> for the combination of capacitors shown, the equivalent capacitance If C1 < C2 < C3 < C4 for the combination of capacitors shown, the equivalent capacitance

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A 2.0-µF capacitor has a potential difference of 5000 V. The work done in charging it was

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If 20 capacitors, each of 100 μ\mu F, were connected in parallel across a 12-V battery, what would be the total energy stored in the capacitors?

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The voltage across each capacitor in a set of capacitors in series is

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If the potential difference of a capacitor is reduced by one-half, the energy stored in that capacitor is

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The equivalent capacitance of two capacitors in series is

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A coaxial cable has the inner wire of radius a = 1 mm and the outside shield of radius B = 8 mm. The electric field strength between the wire and the shield is given by A coaxial cable has the inner wire of radius a = 1 mm and the outside shield of radius B = 8 mm. The electric field strength between the wire and the shield is given by   . The electrostatic energy per meter of the cable is . The electrostatic energy per meter of the cable is

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A parallel plate capacitor has a plate spacing of 1.5 mm, which is filled with a dielectric of κ\kappa = 4.3, and its capacitance is 80 μ\mu F. If the dielectric is taken out and the plate spacing doubled, then what is the new capacitance?

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