p120_practice2.pdf - 1)Aproton,withmass1.6710-27kgandcharge...

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1)  A proton, with mass 1.67  ×  10 -27  kg and charge +1.6  ×  10 -19  C, is sent with velocity   in the + x  direction  into a region where there is a uniform electric field of magnitude   in the + y  direction. What must be the  magnitude and direction of the uniform magnetic field in the region if the proton is to pass through undeflected? Assume  that the magnetic field has no  x  component and neglect gravitational effects. 2)  An electron is accelerated from rest through a potential difference of 3.75 kV. It enters a region where a uniform 4.0-mT  magnetic field is perpendicular to the velocity of the electron. Calculate the radius of the path this electron will follow in  the magnetic field. ( e  = 1.60  ×  10 -19  C,  m electron  = 9.11  ×  10 -31  kg) 3)  A proton, starting from rest, accelerates through a potential difference of 1.0 kV and then moves into a magnetic field of 0.040 T at a right angle to the field.  What is the radius of the proton's resulting orbit? ( e  = 1.60  ×  10 -19  C,  m proton  = 1.67  ×  10 -27  kg)  4)  A wire in the shape of an "M" lies in the plane of the paper. It carries a current of 2.0 A, flowing from A to E. It is placed in a uniform magnetic field of 0.85 T in the same plane, directed as shown on the right side of the figure. The figure  indicates the dimensions of the wire. Note that AB is parallel to DE and to the baseline from which the magnetic field  direction is measured.  What are the magnitude and direction of the net force acting on this wire?   5)  In the figure, a rectangular current loop is carrying current  I 1  =  7.0 A,  in the direction indicated, near a long wire  carrying a current  I w . The long wire is parallel to the sides of the rectangle. The rectangle loop has length 0.80 m and its  sides are 0.10 m and 0.70 m from the wire. If the net force on the loop is to have magnitude   and is to be  directed towards the wire, what must be the magnitude and direction (from top to bottom or from bottom to top in the  sketch) of the current  I w   in the wire? ( μ 0  = 4   ×  10 π -7  T ∙ m/A)   
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6)  In the figure, the two long straight wires are separated by a distance of   The currents are   =  1.0 A to the right in the upper wire and   =  8.0 A to the left in the lower wire. What are the magnitude and direction of the magnetic field at point P, that is a distance
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