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Charge of uniform volume density = 1uC/m^3 fills an infinitecylinder of radius +

ID: 1666805 • Letter: C

Question

Charge of uniform volume density = 1uC/m^3 fills an infinitecylinder of radius +5.cm. The center of the cylinder is on the zaxis, and the cylinder is infinite along the positive and negativez. Consider a point inside the cylinder with x=+4cm, y=0cm,z=0cm. You will be determining the electric field at thispoint.
A) what is the direction of the electric field at thispoint? B) Determine the total charge enclosed gaussian surface( donot use electric field as a variable for tis part) C) Determine an expression for the electric flux thru thesurface using a variable for the electric field. d) What is the electric field at x=+4cm , y=0cm, z=0 cm
Thanks Consider a point inside the cylinder with x=+4cm, y=0cm,z=0cm. You will be determining the electric field at thispoint.
A) what is the direction of the electric field at thispoint? B) Determine the total charge enclosed gaussian surface( donot use electric field as a variable for tis part) C) Determine an expression for the electric flux thru thesurface using a variable for the electric field. d) What is the electric field at x=+4cm , y=0cm, z=0 cm
Thanks

Explanation / Answer

we called =1C/m3 consider the specific cylinder having radius r, and length=1 m its charge *r2*=q(r) (a) the direction of the electric field pointing the same directionwith x-axis (b)(c)Gauss's Law q(r)/0=E*2*r (d)electric field at this point E=*r/20=2.26*103 V/m ; r=4cm the charges outside r=4cm doesn't affect to the E at this point