RECITATION-CH 25

# RECITATION-CH 25 - RECITATION 5 5 The electric field...

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RECITATION 5 5. The electric field produced by an infinite sheet of charge has magnitude r E 2 ε 0 , where σ is the surface charge density. The field is normal to the sheet and is uniform. Place the origin of a coordinate system at the sheet and take the x axis to be parallel to the field and positive in the direction of the field. We set the potential of the sheet to be at 0 V. Then the electric potential at a position x is V ( x ) =- r E d r s 0 x =- r E dx 0 x =- r E x , where we have chosen to integrate over a path traveling in the x direction (which is parallel to the field). The equipotential surfaces are surfaces of constant x ; that is, they are planes that are parallel to the plane of charge. If two surfaces are separated by x then their potentials differ in magnitude by V = r E ⋅∆ x x 2 0 . Thus, x = 2 0 V = 2 8.85 × 10 - 12 C 2 N m 2 ( 29 50V ( 29 0.10 × 10 - 6 C m 2 = 8.8 × 10 - 3 m. 13. (a) The potential difference is

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RECITATION-CH 25 - RECITATION 5 5 The electric field...

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