For each of the following two field expressions (cases I and II below), using the proper...

Transcribed Image Text:

For each of the following two field expressions (cases I and II below), using the proper definition of the mathematical operators find: a) The electric flux density vector: D=-s VV, where & is a constant 10 pF/m. b) The electric volume charge density at any point in the region: p, =V•D = divergence of D c) The total charge enclosed by the specified region: Q= #p.dv, dv = element of volume d) Find VxD and show that Dis irotational. Case I: In the cylindrical region: 0srs2m, Ososr / 2, 0szslm, the potential field Vis given by V = 50 r sino volts Case II: In the spherical region: 1<ps2m, 0sos90", os0<360°, the potential field V is given by V (2coso)/p volts For each of the following two field expressions (cases I and II below), using the proper definition of the mathematical operators find: a) The electric flux density vector: D=-s VV, where & is a constant 10 pF/m. b) The electric volume charge density at any point in the region: p, =V•D = divergence of D c) The total charge enclosed by the specified region: Q= #p.dv, dv = element of volume d) Find VxD and show that Dis irotational. Case I: In the cylindrical region: 0srs2m, Ososr / 2, 0szslm, the potential field Vis given by V = 50 r sino volts Case II: In the spherical region: 1<ps2m, 0sos90", os0<360°, the potential field V is given by V (2coso)/p volts

Answer rating: 100% (QA)

DATE E VV lopf m V 50r2 sino ogrs 2m ... View the full answer