1) A charge Q is at the origin. a) Find the electric flux through a sphere with radius 2R with center at (R,0,0). b) Fin

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1) A charge Q is at the origin. a) Find the electric flux
through a sphere with radius 2R with center at (R,0,0). b) Find the
electric flux through a sphere with radius R with center at
(2R,0,0). c) Draw figure of a bar magnet with N pole at origin and
S pole at (2R,0,0) and the spheres in d) and e). d) Is the magnetic
flux through a sphere with radius 3R with center at origin positive
or negative or zero? e) Is the magnetic flux through a sphere with
radius R with center at origin positive or negative or zero? 2)
Constant magnetic field B is in x direction. At time t=0 a proton
of charge e and mass m is located at the origin and has velocity
vector (v,2v,0). a) What is the name of the curve that the proton
follows? b) What is the radius of this curve? c) What is the pitch
of this curve? d) Find the direction of the axis of this curve. e)
Find coordinates of a point through which the axis of the curve
passes. 3) One wire carries current I in positive direction along
the x-axis and another wire carries current I in positive direction
along the y-axis. a) Draw a figure showing the currents. b) Find
direction and magnitude of magnetic field at the point (a,a,0) c)
Find direction and magnitude of magnetic field at the point
(a,-a,0) d) Find direction and magnitude of magnetic field at the
point (-a,a,0) e) Find direction and magnitude of magnetic field at
the point (-a,-a,0) 4) Metal bar of length 2. cm moves with
velocity 1. cm/s towards the right in a constant magnetic field of
0.2 T, x=5cm, R=5.. a) Find the magnetic flux  through the
conducting loop. b) Calculate the induced emf E = -d/dt. c)
Calculate the current I through the resistance d) Calculate the
electric power P of this current. e) Calculate the applied force
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