Question

Prove that $dV(x,y,z)=-\vec{E(x,y,z)} \cdot\vec{ds} \iff V(x,y,z)=-\int_{(x,y,z)}^{\infty} \vec{E(x,y,z)} \cdot \vec{ds}$

score 29 · Answer 1 · 2026-04-16 04:39:16

29

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Prove that $dV(x,y,z)=-\vec{E(x,y,z)} \cdot\vec{ds} \iff V(x,y,z)=-\int_{(x,y,z)}^{\infty} \vec{E(x,y,z)} \cdot \vec{ds}$

Published on 16 Apr 2026 - 4:39

score 3.4k · Answer 2 · 2026-04-15 22:34:11

3.4k

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The speed of light in a vacuum is $ 2.998 \times 10^8$ m/sec. What is this speed in miles per hour?

Published on 15 Apr 2026 - 22:34

score 84 · Answer 3 · 2026-04-14 05:14:10

84

Views

Exchanging $\partial$ for $d$

Published on 14 Apr 2026 - 5:14

score 36 · Answer 4 · 2026-04-14 17:56:05

36

Views

Analytical demonstration of the equivalence of the two methods

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score 75 · Answer 5 · 2026-04-23 15:09:11

75

Views

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score 397 · Answer 6 · 2026-04-10 20:44:55

397

Views

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score 42 · Answer 7 · 2026-04-13 00:50:43

42

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score 1.1k · Answer 8 · 2026-04-13 03:30:26

1.1k

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score 56 · Answer 9 · 2026-04-16 06:03:03

56

Views

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score 1.7k · Answer 10 · 2026-04-12 22:26:22

1.7k

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129

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score 117 · Answer 12 · 2026-04-12 13:30:36

117

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score 931 · Answer 13 · 2026-04-13 16:57:03

931

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125

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score 72 · Answer 15 · 2026-04-09 23:41:28

72

Views

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Published on 09 Apr 2026 - 23:41

List Question

Prove that $dV(x,y,z)=-\vec{E(x,y,z)} \cdot\vec{ds} \iff V(x,y,z)=-\int_{(x,y,z)}^{\infty} \vec{E(x,y,z)} \cdot \vec{ds}$

The speed of light in a vacuum is $ 2.998 \times 10^8$ m/sec. What is this speed in miles per hour?

Exchanging $\partial$ for $d$

Analytical demonstration of the equivalence of the two methods

Behaviour of harmonic oscillator when elastic constant$\to +\infty$.

How can I derive the equation for the angle of a simple pendulum as a function of time without calculus?

Where's my error with this springs and masses in series problem?

Compressibility factor (Z) of the Redlich-Kwong Equation

Why $\mathbf r''(t) \cdot \mathbf r'(t)=\frac{d}{dt}(\frac{1}{2} \mathbf r'(t)\cdot \mathbf r'(t))$ is true?

Two friends canoe upstream for 3 hours, only to realize that their campsite is downstream.

The pseudoscalar doesn't make physical sense. What I'm interpreting wrong?

EM-wave equation in matter from Lagrangian

Books on geometric algebra.

Strong solutions of SDEs in electrical engineering

Calculating angle from sphere

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