A В AV = 12 V Figure 24.5 (Example 24.1) A 12-V battery connected to two parallel plates. The electric field between the plates has a magni- tude given by the potential dif- ference AV divided by the plate separation d. +

A capacitor is composed of two metal plates. The two plates have the dimensions L = 0.11 m and W = 0.56 m. The plates have a distance between them of d = 0.1 m, and are parallel to each other.  Part (a)  The plates are connected to a battery and charged such that the first plate has a charge of q. Write an expression for the magnitude of the electric field, |E|, halfway between the plates.  Part (b)  Input an expression for the magnitude of the electric field, |E2|, just in front of plate two.  Part (c)  If plate two has a total charge of q = -1 mC, what is its charge density, σ, in C/m2?

A 31 m length of coaxial cable has a solid cylindrical wire inner conductor with a di- ameter of 2.168 mm and carries a charge of 10.02 µC. The surrounding conductor is a cylindrical shell and has an inner diameter of 11.534 mm and a charge of-10.02 C. What is the capacitance of this cable? As- sume the region between the conductors is air. The value of the Coulomb comstant is 8.98755 x 10° N m²/C. Answer in units of nF.

A slab of copper of thickness b = 1.68 mm is thrust into a parallel-plate capacitor of plate area A = 1.96 cm2 and plate separation d = 5.35 mm, as shown in the figure; the slab is exactly halfway between the plates. (a) What is the capacitance after the slab is introduced? (b) If a charge q = 2.68 µC is maintained on the plates, what is the ratio of the stored energy before to that after the slab is inserted? (c) How much work is done on the slab as it is inserted? (d) Is the slab sucked in or must it be pushed in? Copper (a) Number 4.73e-13 Units (b) Number i 0.686 (c) Number i 5.36e-10 Units J (d) sucked in

What is the strength (in V/m) of the electric field between two parallel conducting plates separated by 1.90 cm and having a potential difference (voltage) between them of 2.40 x 104 v?

Note: The value of a=0, b=5 and C=7.