1234First name: Last name: ID #: Notes:1) In the entire exam, you need to start your solutions from the basic principles and show all details related to them on the boolet pro!ided"#i!in$ simple answers won%t $rant you any credit"&) 'ransfer all your answers and details of your calculations to the boolet pro!ided"'he wor on the exam sheets won%t be e!aluated( only the wor on the boolet will be")) *lease answer in the order of the $i!en +uestions( reser!e a space for aproblem in the case you want to come bac to tacle it ,one pa$e per problem should be sufficient)-) Draw ade+uate, bi$ enou$h, and clear pictures to support your proofs, where applicable"'hey can be $i!en credit" . picture must tae, at least, a +uarter ofthe surface of a pa$e, after di!idin$ the pa$e into four +uarters"/) 'he total of mars is 100"1) 'here are ) pa$es in total, includin$ the formulae sheet on the bac pa$eQ1 (20 pts) 'he exam is printed on both sides of papers",11 pts)If Q 2 &/ 3, q 2 10 3, the an$le between the e+ual sides is 40o, and L 2 -0 cm in the fi$ure, what is the ma$nitude of the electrostatic force on q5 ,- pts)Draw a picture illustratin$ all the !ectors and an$les in!ol!ed in your calculation"Q2 (18 pts) Theory question: ,1- pts) *ro!e that, on an irre$ularly shaped conductor, the surface char$e density is $reatest at locations where the radius of cur!ature is the smallest",- pts) Draw an ade+uate picture"5Q3 ,14 pts) ,10 pts) 3har$e of uniform surface density ,-"0 n36m&) is distributed on a spherical surface ,radius 2 &"0 cm)" 7hat is the total electric flux throu$h a concentric spherical surface with a radius of -"0 cm5,- pts) Draw an ade+uate picture"Q4 (14 pts) ,10 pts) . proton ,mass 2 1"18 109&8 $, char$e 2 1"10 10914 3) mo!es from point . to point : under the influence of an electrostatic forceonly" .t point . the proton mo!es with a speed of /0 m6s" .t point : the speed of the proton is ;0 m6s" Ne$lect the force of $ra!ity on the proton and consider and only consider electric forces actin$ on the proton durin$ this motion" Determine the potential differenceA BV V ",- pts) Draw an ade+uate picture"Q5 (20 pts) ,11 pts) 'he picture shows three capacitors, )0