Recent content by EngineerHead

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    Induced motional emf conceptual question

    A magnetic field points into the page. A conductive bar is moved to the right (perpendicular to the magnetic field). Why do the electrons move downwards toward the bottom of the bar? The book doesn't offer a good explanation of this... using right hand rule I would say that the electrons are...
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    Multivariable: Area of region bounded by a spiral equation

    I apologize for this, I know you have thoroughly answered me but the book solves this problem with one double integral equation, that is (sorry I don't know how to use coding), the double integral of rdθdr, with inner theta bounds 0->pi/(3r) and outer r bounds 1->2 to arrive at the final...
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    Multivariable: Area of region bounded by a spiral equation

    You said the lower boundary is θ = π/6 if you do θ first, do you mean to say the lower boundary is θ = 0?
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    Easy Polar Coordinates question (Change of variables)

    I have a question regarding problem solving tips. When given an iterated integral and asked to convert it to polar coordinates, how do you select the bounds of theta - do you have to understand how the graph of r operates and therefore know where the theta bounds are based on the rectangular...
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    Multivariable: Area of region bounded by a spiral equation

    Thank you very much! I appreciate your help, I actually grasped that earlier and realized that to be the problem (the book does give a picture and it draws dashed lines for pi/6 and pi/3 but says nothing about them). However, now I am having trouble grasping the concept as to how this integral...
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    Multivariable: Area of region bounded by a spiral equation

    Is it because one of the bounds must be a function of theta? And because the bounds of r are constants, then the bounds of theta must be of a variable? But this doesn't make sense to me because in a rectangular coordinate system, when you find the area of a rectangle using double integrals, both...
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    Multivariable: Area of region bounded by a spiral equation

    Homework Statement This is an example taken from the textbook lesson and there's one part I don't understand: Find the area of the region bounded above by the spiral r = pi/(3θ) and below by the polar axis, between r = 1 and r = 2. SOLUTION: Double integral of r(dθ)(dr) with boundaries...
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    Capacitor separated by a dielectric

    Homework Statement REFER TO ATTACHED SCREEN SHOT Homework Equations The Attempt at a Solution My discrepancy is with the last question labeled "Exercise" (What is the maximum energy that can be stored in the capacitor?). Since the max voltage is 16000V = 16000 J/C, why is...
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    Electric Potential - Conceptual question

    Thank you, and just to verify - because of the potential given, it is a fact that the charge is negative?
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    Electric Potential - Conceptual question

    Homework Statement At a certain distance from a point charge, the magnitude of the electric field is 500 V/m and the electric potential is -3.00 kV. (a) What is the distance to the charge? (b) What is the magnitude of the charge? Homework Equations The Attempt at a Solution a) 6 meters b)...
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    Application of Gauss's Law to Charged Insulators

    Okay it works... I've been using an incorrect value for e when solving from k - apologies.
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    Application of Gauss's Law to Charged Insulators

    Because I am currently getting a different answer than that given by the book - which is: +913 nC
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    Application of Gauss's Law to Charged Insulators

    Homework Statement A cylindrical shell of radius 7.00 cm and length 240 cm has its charge uniformly distributed on its curved surface. The magnitude of the electric field at a point 19.0 cm ra- dially outward from its axis (measured from the midpoint of the shell) is 36.0 kN/C. Use approximate...
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    Engineering BS in Chemical Engineering, MS in EE

    Does it make sense to pursue a BS in Chemical Engineering, and then go into graduate school for a MS or PhD in EE? Or does that pathway make little sense.
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    How to work out this Acceleration

    Remember Newton's 3rd Law of Motion, for every action there is an equal and opposite reaction, meaning: Think about this given situation at a stand-still, where the block is on the ramp at the top but nothing moves (because everything is starting from rest). There is no motion, correct...
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