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Lectures in General Physics

2

q

F =

2ε ο

A

6.10) A parallel-plate air capacitor

having area A (40cm 2 ) and spacing

d (1.0 mm) is charged to a potential

V (600V). Find (a) the capacitance,

(b) the magnitude of the charge on

each plate, (c) the stored energy,

(d) the electric field between the

plates and (e) the energy density

between the plates.

6.11) How many 1µF capacitors

would need to be connected in

parallel in order to store a charge

1C with potential of 300V across

the capacitors?

6.12) In figure 6.19 (a)&(b) find the

equivalent capacitance of the

combination. Assume that

C 1 =10µF, C 2 =5µF, and C 3 =4µF.

Calculate the total stored energy in

the system.

6.14) A 16pF parallel-plate capacitor

is charged by a 10V battery. If

each plate of the capacitor has an

area of 5cm 2 , what is the energy

stored in the capacitor? What is the

energy density (energy per unit

volume) in the electric field of the

capacitor if the plates are separated

by air?

6.15) The energy density in a

parallel-plate capacitor is given as

2.1 ×l0 -9 J/m 3 . What is the value of

the electric field in the region

between the plates?

6.16) (a) Determine the equivalent

capacitance for the capacitors

shown in figure 6.20. (b) If they

are connected to 12V battery,

calculate the potential difference

across each capacitor and the

charge on each capacitor

3 F 6 F

Figure 6.19(a)

aa

2

F

Ab

C 1

V

Figure 6.20

Figure6.19(b)

6.13) Two capacitors (2.0µF and

4.0µF) are connected in parallel

across a 300V potential difference.

6.17) Evaluate the effective

capacitance of the configuration

shown in Figure 6.21. Each of the

capacitors is identical and has

capacitance C.

Dr. Hazem Falah Sakeek

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