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If a cube of side 5 cm has a charge of 6 microcoulombs , then the surface charge density is

If a cube of side 5 cm has a charge of 6 microcoulombs , then the surface charge density is

Grade:12

2 Answers

hero
123 Points
6 years ago
surface charge density is equal to total charge on surface divided by the surface area.
surface area of cubeis 6a2. a= 5 cm =0.05 m .
area= 6 ×0.052=0.015m2
surface charge density= charge/area
                                 =6 ×10-6/0.015
                                 =4 × 10-4 coulomb/m2.
hope it helps
 
ankit singh
askIITians Faculty 614 Points
3 years ago

 

(a) Side =5cm=0.05m  area =6a2=6×(0.05)2
charge =6μC
The surface density =6a2q​
                                  =6×(0.05)26×10−6​
                                  =1005​×1005​10−6​
                                  =400×10−6
                                  =4×10−4C/m2

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