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Week4_1

Week4_1 - Quiz reminder Quiz next Wednesday 8:00am 8:50 am...

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1 Quiz reminder ± Quiz – next Wednesday 8:00am – 8:50 am ± Refer to course website for exam location ± No make-up quiz! ± 1 conceptual and 2 numerical problems ± Coverage: Chapter 19 ± Bring your calculator ± Basic formulas will be provided as well as universal physics constants ± Preparation: concentrate on L, R and HW problems as well as textbook examples; read the textbook ± Student help center for PHYS102 is open. ± 915 Disque Hall ± Hours: 10am-5pm M,Tue,W,Thu (check office hours schedule on the PHYS102 website

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2 Problem 20.68. ± Four balls, each with mass m , are connected by four nonconducting strings to form a square with side a as shown in Figure P20.68. The assembly is placed on a horizontal, nonconducting, frictionless surface. Balls 1 and 2 each have charge q , and balls 3 and 4 are uncharged. Find the maximum speed of balls 3 and 4 after the string connecting balls 1 and 2 is cut.
3 Finding E From V ± Assume, to start, that E has only an x component ± Similar statements would apply to the y and z components ± Equipotential surfaces must always be perpendicular to the electric field lines passing through them xx dV d becomes E dx and E dx −⋅ = Es r r (dV =)

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4 E and V for an Infinite Sheet of Charge ± The equipotential lines are the dashed blue lines ± The electric field lines are the brown lines ± The equipotential lines are everywhere perpendicular to the field lines
5 E and V for a Point Charge ± The equipotential lines are the dashed blue lines ± The electric field lines are the brown lines ± The equipotential lines are everywhere perpendicular to the field lines

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6 E and V for a Dipole ± The equipotential lines are the dashed blue lines ± The electric field lines are the brown lines ± The equipotential lines are everywhere perpendicular to the field lines
7 Electric Field from Potential, General ± In general, the electric potential is a function of all three dimensions ± Given V (x, y, z) you can find E x , E y and E z as partial derivatives xyz VVV EEE ∂∂ =−

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8 (i) In a certain region of space, the electric potential is zero everywhere along the x axis. From this information, we can conclude that the x component of the electric field in this region is ze r o in th e + x d irect io n 33% 33% 33% 1. zero 2. in the + x direction 3. in the x direction 10
9 In a certain region of space, the electric field is zero. From this information, we can conclude that the electric potential in this region is Z ero Con sta n t P o s iti v e Nega ive 25% 25% 25% 25% 1. Zero 2. Constant 3. Positive 4. Negative 10

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10 Electric Potential for a Continuous Charge Distribution ± Consider a small charge element dq ± Treat it as a point charge ± The potential at some point due to this charge element is e dq dV k r =
11 V for a Continuous Charge Distribution, cont ± To find the total potential, you need to integrate to include the contributions from all the elements ± This value for V uses the reference of V = 0 when P is infinitely far away from the charge distributions e dq Vk r =

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Week4_1 - Quiz reminder Quiz next Wednesday 8:00am 8:50 am...

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