Coulomb's law states that the force F of attraction between two oppositely charged particles varies jointly as the magnitude of their electrical charges q 1 and q 2 and inversely as the square of the distance d between the Particles. Find the effect on F of doubling q 1 and q 2 and halving the distance between them.
Coulomb's law states that the force F of attraction between two oppositely charged particles varies jointly as the magnitude of their electrical charges q 1 and q 2 and inversely as the square of the distance d between the Particles. Find the effect on F of doubling q 1 and q 2 and halving the distance between them.
Solution Summary: The author explains Coulomb's law, which states that the force F of attraction between two oppositely charged particles varies jointly as the magnitude of their electrical charges.
Coulomb's law states that the force F of attraction between two oppositely charged particles varies jointly as the magnitude of their electrical charges
q
1
and
q
2
and inversely as the square of the distance d between the Particles. Find the effect on F of doubling
q
1
and
q
2
and halving the distance between them.
3.1 Limits
1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice.
x+3°
x+3*
x+3
(a) Is 5
(c) Does not exist
(b) is 6
(d) is infinite
1 pts
Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and
G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is
Question 1
-0.246
0.072
-0.934
0.478
-0.914
-0.855
0.710
0.262
.
2. Answer the following questions.
(A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity
Vx (VF) V(V •F) - V²F
(B) [50%] Remark. You are confined to use the differential identities.
Let u and v be scalar fields, and F be a vector field given by
F = (Vu) x (Vv)
(i) Show that F is solenoidal (or incompressible).
(ii) Show that
G =
(uvv – vVu)
is a vector potential for F.
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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY