document.write( "Question 1166417: In a certain region, the electric potential due to a charge distribution is given by the equation V(x,y,z) = 3x^2y^2+ yz^3-2z^3x, where x, y,andzare measured in meters and Vis in volts. Calculate the magnitude of the electric field vector at the position (x,y,z) = (1.0, 1.0, 1.0). \n" ); document.write( "

Algebra.Com's Answer #790927 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Electric field E has the components\r\n" );
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document.write( "     = ,\r\n" );
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document.write( "     = ,\r\n" );
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document.write( "     = .\r\n" );
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document.write( "So, take the partial derivatives of the potential V(x,y,z) in each direction x, y, z,\r\n" );
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document.write( "and you will get the electric field vector.\r\n" );
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document.write( "Then substitute the values  x= 1,  y= 1  and  z= 1  into these expressions, and calculate.\r\n" );
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document.write( "The vector which you get at the end, will be your answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To read guiding materials, see this link\r
\n" ); document.write( "\n" ); document.write( "https://medium.com/@rjallain/using-the-electric-potential-to-find-the-vector-electric-field-d551df37d296 \r
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