# Did not study for a long time . . .

nimigi
Hi, its a home work problem, but im dont loking for an answer, what i need is a resourse to refresh my old mind :)

the question is:

given - H(x1,y1,z1)=H1
J=a*i+b*j+c*k (i roof, j roof, k roof)

find -

H(x2,y2,z2)

thank alot

I am very confused find H of the second set of points?

Staff Emeritus
Hi, its a home work problem, but im dont loking for an answer, what i need is a resourse to refresh my old mind :)

the question is:

given - H(x1,y1,z1)=H1
J=a*i+b*j+c*k (i roof, j roof, k roof)

find -

H(x2,y2,z2)

thank alot

What's the actual question here? Are you asked to find H such that gradH=J ?

nimigi
yes, im asked to fined H at (x2,y2,z2)

What's the actual question here? Are you asked to find H such that gradH=J ?

yes, im asked to fined H at (x2,y2,z2)

Eighty
Just integrate. grad H = ai+bj+ck means that dH/dx=a, dH/dy=b, dH/dz=c. Integrating the first gives you H=ax+C(y,z), where C is the constant of integration, which depends on y and z (they are constant with respect to x). Put that into the next equation (dH/dy=b), and continue.

nimigi
thanks alot and if you can recomeend a book on the topic

Just integrate. grad H = ai+bj+ck means that dH/dx=a, dH/dy=b, dH/dz=c. Integrating the first gives you H=ax+C(y,z), where C is the constant of integration, which depends on y and z (they are constant with respect to x). Put that into the next equation (dH/dy=b), and continue.

thanks alot and if you can recomeend a book on the topic