Recent content by jlucas134
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J
Calculate the electric potential and field
I tried it with no success.. I attempted to treat it like a ring of charge...finding E then integrating to find V. Still no success. I think I am getting lost in the "point any where on the axis inside or outside the tube". any suggestions how to solve this?- jlucas134
- Post #3
- Forum: Advanced Physics Homework Help
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Electric Potential: x,y,z Components & Zero Points
Allow me to expand on what genneth started.. he is correct...E= - Del V where del is the gradiate operator. You have V in cartesian. so del V = x(hat)*dV/dx+y(hat)*dV/dy+z(hat)*dV/dz You textbook should give the relationship for del V, don't forget the negative sign. So take the...- jlucas134
- Post #5
- Forum: Advanced Physics Homework Help
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J
Calculate the electric potential and field
Here is the question. a hollow, thin walled insulating cylinder of radius b and height h has charge Q uniformly distributed over its surface. Calculate the electric potential and field at all points along the z axis of the tube. Outside the tube Inside the tube. I know how to find the...- jlucas134
- Thread
- Electric Electric potential Field Potential
- Replies: 3
- Forum: Advanced Physics Homework Help
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Derive expression for gradient operator in spherical coordinates
Sort of I think I see what is going on...I have to take the partial derivative of each value with respect to the cooresponding value, r to x theta to x and phi to x, then r, theta, and phi to y and then to z...this in turn will provide the conversion, right? Is this essentially what how you...- jlucas134
- Post #8
- Forum: Calculus and Beyond Homework Help
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Derive expression for gradient operator in spherical coordinates
No...I have not covered that in my studies...I can read a little about. Any idea if I am even close with the way I am going?- jlucas134
- Post #6
- Forum: Calculus and Beyond Homework Help
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Derive expression for gradient operator in spherical coordinates
Do I have to do this for y and z? dT/dy= dT/dR*dR/dy+dT/d(theta)*d(theta)/dy+dT/d(phi)*d(phi)/dy dT/dz= dT/dR*dR/dz+dT/d(theta)*d(theta)/dz+dT/d(phi)*d(phi)/dz Then after this, its gets ugly, but I think this is how you do it... x^=R^(cos...)+theta^(cos...)-phi^(sin phi)...- jlucas134
- Post #4
- Forum: Calculus and Beyond Homework Help
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Derive expression for gradient operator in spherical coordinates
Correct so far? First, thanks for responding... Second, am I correct so far? Third, I don't quite understand what you mean, could you expand on that? Is it these values substitute into right hand side? x=R sin theta cos phi y=R sin theta sin phi z=R cos theta I am trying, but I...- jlucas134
- Post #3
- Forum: Calculus and Beyond Homework Help
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Derive expression for gradient operator in spherical coordinates
I need to derive the expression for the gradient operator in spherical coordinates. I know the following R =sqrt(x^2+y^2+z^2) theta, call it %, = arctan sqrt(x^2+y^2)/z phi, arctan (y/x) Using dT/dx= dT/dR*dr/dx+dT/d%*d%/dx+dT/dphi*dphi/dx, do partial derivates... dR/dx =...- jlucas134
- Thread
- Coordinates Derive Expression Gradient Operator Spherical Spherical coordinates
- Replies: 7
- Forum: Calculus and Beyond Homework Help
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Find basis for the kernel of linear map
Got it... I was making it harder than it was... I solve for one of the variables, say a... a=b+2c-d Then I plug this value into L. [b+2c-d, b,c,d] I could set up in aug matrix, but I can pull the constants b, c, d right out to get the kernel basis. Then my vectors are...- jlucas134
- Post #7
- Forum: Calculus and Beyond Homework Help
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Find basis for the kernel of linear map
I think I have it...if there is constants for artibary numbers then those constants make up the kernal and the other is the range, correct? SO if the the dim is 4 and the kernel is three, then the range is one... if I solve it for a=b+2c-d, then the kernal is the constants, b, c, d times...- jlucas134
- Post #3
- Forum: Calculus and Beyond Homework Help
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Find basis for the kernel of linear map
I need help. For this problem, you have to use the Gram-Schmidt process to make it orthogonal. My trouble is finding the bais for the kernel of the linear map L: R4 -> R1 defined by L([a,b,c,d)]=a-b-2c+d I know the dimension of the kernel is 3, but how? I have tried setting it...- jlucas134
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- Basis Kernel Linear Linear map Map
- Replies: 6
- Forum: Calculus and Beyond Homework Help
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Zener diode-finding Resistor value
At least I'm not the only one that is confused why its 225...I'll keep digging...- jlucas134
- Post #3
- Forum: Engineering and Comp Sci Homework Help
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Zener diode-finding Resistor value
Need some help finding the value of the input Resister... Design a 7.5V zener regulator circuit using a 7.5 zener specified at 12 mA. The zener has an incremental resistance of 30 ohms and knee current of .5 mA. The regulator operates from a 10 V supply and has a 1.2 k-ohm load. What is the...- jlucas134
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- Resistor Value
- Replies: 2
- Forum: Engineering and Comp Sci Homework Help
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Undergrad Understanding Span, Basis, and Dimension to Linear Algebra Concepts
I need some help to understand the concepts of span, basis, and dimension. 1-How do you determine if a set of vectors [in matrix form] span a region? -Do you set the given matrix set to arbitary numbers and see if there is a unique, infinite, or no solution? ie, set a 4X4...- jlucas134
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- Basis Dimension Span
- Replies: 3
- Forum: Linear and Abstract Algebra
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Undergrad Proving Linearity of L:R(4)→R(4)
Check me Can someone verify my signs are correct for when I solved, with help from the board?- jlucas134
- Post #9
- Forum: Linear and Abstract Algebra