体积电荷密度公式
测量是数学的一个分支,它处理几何图形的测量,例如长度、宽度、面积、周长、体积等。几何图形以二维 (2D) 和三维 (3D) 形式存在,例如正方形、圆柱体、立方体、矩形等
在电磁学中,电荷密度指定在图形的给定属性(即长度、面积、体积等)中存在多少电荷。体积电荷密度指定在给定体积中存在多少电荷。电荷可以用希腊符号 pho (ρ) 表示。找到体积电荷密度的公式由下式给出 -
Volume Charge density (ρ) = Charge (C)/Volume (V)
ρ = C/V
where,
ρ is charge density.
C represents charge.
V is the volume in m3.
示例问题
问题1:求给定电荷的体积电荷密度,体积分别为8C和12m 3 。
解决方案:
Given,
Charge (C)=8
Volume (V)=12m3
Volume Charge Density (ρ)=C/V
= 8/12
= 0.66
Volume Charge Density for given data is 0.66 C/m3
问题2:求给定电荷的体积电荷密度,体积分别为18C和9m 3 。
解决方案:
Given,
Charge (C) = 18
Volume (V) = 9m3
Volume Charge Density (ρ) = C/V
= 18/9
= 2
Volume Charge Density for given data is 2 C/m3
问题 3:求给定体积密度电荷和体积分别为 3 C/m 3和 6m 3的电荷。
解决方案:
Given,
Volume charge density (ρ)=3 C/m3
Volume (V)=6m3
Volume Charge Density (ρ)=C/V
Charge (C) = ρ×V
= 3×6
= 18
Charge for the given data is 18 C.
问题4:求给定体积密度电荷和体积分别为2 C/m 3和10m 3的电荷。
解决方案:
Given,
Volume charge density (ρ)=3 C/m3
Volume (V)=6m3
Volume Charge Density (ρ)=C/V
Charge (C) = ρ×V
= 2×10
= 20
Charge for the given data is 20 C.
问题 5:求给定边长 4m 且电荷为 150C 的立方体的体积电荷密度。
解决方案:
Given
Side length of cube = 4m
Volume of cube = side3
V = 43
= 64
Charge (C) = 150
Volume Charge Density (ρ) = C/V
= 150/64
= 2.34
Volume Charge Density for given data is 2.34 C/m3
问题 6:求给定球体的体积电荷密度,半径为 2m,电荷为 50C。
解决方案:
Given
Radius of sphere = 2m
Volume of sphere = (4/3)πr3
V = (4/3)π23
= (4×22×8)/(7×3)
= 704/21
= 33.52
Charge (C) = 50
Volume Charge Density (ρ) = C/V
= 50/33.52
= 1.49
Volume Charge Density for given data is 1.49 C/m3