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    A uniform electric field produces an acceleration (10 m/s^2, 10 m/s^2,0) at (1 m, 1m, 1m) for a -5 micro Coloumb charge of mass 10 g. Write the electric field at all points in space. (Hint: it would be a good idea to know what uniform means here).

    © BrainMass Inc. brainmass.com December 24, 2021, 5:02 pm ad1c9bdddf
    https://brainmass.com/physics/electric-power/uniform-electric-field-23891

    SOLUTION This solution is FREE courtesy of BrainMass!

    (* denotes multiplication, ^ denotes power)
    uniform means constant
    acceleration comes from the force the electric field applies on the charge as
    force = mass * acceleration

    Electric force= E*q
    where E= Electric field
    q=charge
    when we equate it to mass * acceleration we get Electric field E as we know the mass and the charge
    E=mass*acceleration/charge

    We will calculate the three components of the Electric field in x,y and z directions as field is a vector quantity

    q= 5 Mu C = 0.000005 C
    mass= 10 g = 0.01 Kg

    In the x direction
    acceleration= ax
    ax= 10 m/s^2
    mass= 0.01 Kg
    Therefore force=mass * acceleration= 0.1 N =0.01*10

    Electric field in the x direction= Ex ( to be determined)
    q= 0.000005 C
    Ex* q= 0.1 N
    Therefore
    Ex= 20000 V/m =0.1/0.000005

    In the y direction
    acceleration= ay
    ay= 10 m/s^2
    mass= 0.01 Kg
    Therefore force=mass * acceleration= 0.1 N =0.01*10

    Electric field in the y direction= Ey ( to be determined)
    q= 0.000005 C
    Ey* q= 0.1 N
    Therefore
    Ey= 20000 V/m =0.1/0.000005

    In the z direction
    acceleration= az
    az= 0 m/s^2
    mass= 0.01 Kg
    Therefore force=mass * acceleration= 0 N =0.01*0

    Electric field in the z direction= Ez ( to be determined)
    q= 0.000005 C
    Ez* q= 0 N
    Therefore
    Ez= 0 V/m =0/0.000005

    Thus the components of the electric field in the x,y and z directions are

    Ex= 20,000 V/m
    Ey= 20,000 V/m
    Ez= 0

    Thus the Electric field is in the xy plane ( as z component is zero)
    Magnitude of the Electric field=square root of (Ex^2+ Ey^2)= 28,284 V/m

    Its direction is given by
    tan theta = Ey/Ex=20000/20000= 1

    or theta = 45 degrees

    Thus the Electric field makes an angle of 45 degrees with the x axis

    Answer: Electric field is 28,284 V/m making an angle of 45 degrees with the x axis

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 5:02 pm ad1c9bdddf>
    https://brainmass.com/physics/electric-power/uniform-electric-field-23891

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