Exam 24: Capacitance and Dielectrics

Each plate of a parallel-plate air-filled capacitor has an area of 0.0020 ,and the separation of the plates is An electric field of is present between the plates.What is the surface charge density on the plates? (ε₀ = 8.85 × 10^-12 C²/N • m²)

A 6.0-μF air-filled capacitor is connected across a 100-V voltage source.After the source fully charges the capacitor,the capacitor is immersed in transformer oil (of dielectric constant 4.5).How much ADDITIONAL charge flows from the voltage source,which remained connected during the process?

The capacitive network shown in the figure is assembled with initially uncharged capacitors.A potential difference,V_ab = +100V,is applied across the network.The switch S in the network is kept open.Assume that all the capacitances shown are accurate to two significant figures.What is the total energy stored in the seven capacitors?

Three capacitors,with capacitances = 4.0 μF, = 3.0 μF,and = 2.0 μF,are connected to a 12 -V voltage source,as shown in the figure.What is the charge on capacitor ?

An ideal air-filled parallel-plate capacitor has round plates and carries a fixed amount of equal but opposite charge on its plates.All the geometric parameters of the capacitor (plate diameter and plate separation)are now DOUBLED.If the original capacitance was C₀,what is the new capacitance?

A metal cylinder of radius 2.0 mm is concentric with another metal cylinder of radius 5.0 mm.If the space between the cylinders is filled with air and the length of the cylinders is 50 cm,what is the capacitance of this arrangement? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

In the circuit shown in the figure,all the capacitors are air-filled.With the switch S open,the 40.0-µF capacitor has an initial charge of 5.00 µC while the other three capacitors are uncharged.The switch is then closed and left closed for a long time.Calculate the initial and final values of the total electrical energy stored in these four capacitors.

Three capacitors are connected as shown in the figure.What is the equivalent capacitance between points a and b?

Two thin-walled concentric conducting spheres of radii 5.0 cm and 10 cm have a potential difference of 100 V between them.(k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²) (a)What is the capacitance of this combination? (b)What is the charge carried by each sphere?

Two capacitors of capacitance 6.00 μF and 8.00 μF are connected in parallel.The combination is then connected in series with a 12.0-V voltage source and a 14.0-μF capacitor,as shown in the figure. (a)What is the equivalent capacitance of this combination? (b)What is the charge on the 6.00-μF capacitor? (c)What is the potential difference across the 6.00-μF capacitor?

An air-filled capacitor is formed from two long conducting cylindrical shells that are coaxial and have radii of and The electric potential of the inner conductor with respect to the outer conductor is (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)The energy stored in a 1.0-m length of this capacitor is closest to

A 1.0-μF and a 2.0-μF capacitor are connected in series across a 3.0-V voltage source. (a)What is the charge on the 1.0-μF capacitor? (b)What is the voltage across the 2.0-μF capacitor?