# Exam2 - Exam 2     2049H Spring 2009   ...

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Unformatted text preview: Exam 2     2049H Spring 2009      Name:      Scores:    1      2      3      4      5      Total: Problem 1 (15 points)  Parallel  capacitors  are  half  filled  by  dielectric  materials  as  shown  below.    (a)  calculate  the  capacitances  in  terms  of  ε0,  A,  d.  (b)  Which  capacitor  has  higher  capacitance?                   Problem 2 (20 points)  Calculate I1 and I2 for the circuit shown left.                    Problem 3 (30 points)  (a)  Calculate  I1  in  the  steady  state  (t=∞).   Note that at this point I2 should be equal to  zero.   (b)  Calculate  the  charge  stored  in  the  capacitor in the following circuit.    (c) What is the characteristic charging time  (the RC time constant) for the capacitor?        Problem 4 (20 points)  Calculate  the  force  due  to  magnetic  field  on  a  wire  which  has  been  shaped  into  a  square  shape  as  shown  left.    The  square  has sides of 1 m, the magnetic field is 0.1  T, and the current is 1 A.  Magnetic field is  only  present  in  the  dotted  square  as  indicated in the figure.              Problem 5 (15 points)  Calculate  the  force  if  the  metal  square has been inserted further  into  the  magnetic  field.   Everything  else  remains  the  same.  The  square  has  sides  of  1  m, the magnetic field is 0.1 T, and  the current is 1 A.  Magnetic field  is  only  present  in  the  dotted  square as indicated in the figure.    ...
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