The system, shown in cross-section in Fig. P4.1.7, extends to in the direction. It consists of a…

The system, shown in cross-section in Fig. P4.1.7, extends to 508bfcda e32d 4b34 bf95 5dc73f4fe3f2 in the d3510ece f3f6 4462 9ed0 caa3e68db4e0 direction. It consists of a cylinder having a square cross-section with sides which are resistive sheets (essentially many resistors in series). Thus, the voltage sources 2bc2ac60 b1f8 437a 9d30 d7953b5adfba at the corners of the cylinder produce linear distributions of potential along the sides. For example, the potential between the corners at a47018ea c944 4ecf 9713 5604b148d9c6 and f1d7d8f9 5d88 4d34 bcc0 d86bf4359139 drops linearly from 85fa4e07 3a30 4a5f 91f4 4cddd9a01902 to cc33ce5a 4478 4f3b 8a7f b59d82d3a055 .

Fig. P4.1.7

36ff09cf fa1e 4e5a 99a2 61d058eba2b3

(a) Show that the potential inside the cylinder can match that on the walls of the cylinder if it takes the form afbcd11d 69cc 4fc9 8a5a 336f128331be2 ab948f8c 3286 4980 aa11 b91566c790682). What is 44d90154 4a69 480f 8441 271a63344dab?

(b) Determine e76a66a0 87b7 4a39 bd06 dc4431ce30e9 and show that there is no volume charge density ac085fc1 3e33 4603 88c1 752dbf798802 within the cylinder.

(c) Sketch the equipotential surfaces and lines of electric field intensity.

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