1.
GAUSS’S LAW TO THE
DIFFERENTIAL VOLUME
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∆𝑦
∆𝑧
∆𝑥
P(x,y,z)
X
Z
Y

2.
GAUSS’S LAW TO THE
DIFFERENTIAL VOLUME
•
• Consider a small differential surface at P
• at point P.
•
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3.
GAUSS’S LAW TO THE
DIFFERENTIAL VOLUME
• Assume Front surface parallel to yz plane
• &
• Now, to obtain total D at front, we need to do following calculation
•
•
∆
• So,
∆
• And
∆
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4.
GAUSS’S LAW TO THE
DIFFERENTIAL VOLUME
• Combining two equations,
•
• Similar equations for (left + right) & (top + bottom)
• So,
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