  Density, density, density. (a) A charge -352e is uniformly distributed along a circular arc of radius 4.10 cm, which subtends an angle of 65o. What is the linear charge density along the arc? (b) A charge -352e is uniformly distributed over one face of a circular disk of radius 2.40 cm. What is the surface charge density over that face? (c) A charge -352e is uniformly distributed over the surface of a sphere of radius 5.20 cm. What is the surface charge density over that surface? (d) A charge -352e is uniformly spread through the volume of a sphere of radius 3.10 cm. What is the volume charge density in that sphere?

Question

Density, density, density. (a) A charge -352e is uniformly distributed along a circular arc of radius 4.10 cm, which subtends an angle of 65o. What is the linear charge density along the arc? (b) A charge -352e is uniformly distributed over one face of a circular disk of radius 2.40 cm. What is the surface charge density over that face? (c) A charge -352e is uniformly distributed over the surface of a sphere of radius 5.20 cm. What is the surface charge density over that surface? (d) A charge -352e is uniformly spread through the volume of a sphere of radius 3.10 cm. What is the volume charge density in that sphere?

Step 1

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Step 2

(a) The linear charge density along the arc is the total charge divided by the length of the arc. It is the measure of a quantity of any characteristic value per unit length. help_outlineImage TranscriptioncloseQ-3.52e =-3.52x (1.6x1019 C)=-5.632 x10-19 C radius 4.10cm 0.0410m 0 65° =1.134rad 180 -65x L re (1) =(0.0410m x 1.134rad) = 0.0465m Q [Ais the linear charge density] (2) -5.632x 1019 C 0.0465m =-1.21x101 C/m fullscreen
Step 3

(b) Surface charge density present only in conducting surfaces a... help_outlineImage Transcriptioncloseasurface charge density q=charge A A=area q-3.52x (1.6x101C =-5.632 x 1019 C A (0.024 m [r= 2.40cm] 1.81x 103m2 -5.632x 1019 C 1.81x 10 m2 -3.112x1016 C/m2 fullscreen

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Electric Charges and Fields 