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Ch2+Electric+Field

Ch2+Electric+Field - E LECTRIC F IELD A LI A LZAHRANI ...

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Unformatted text preview: E LECTRIC F IELD A LI A LZAHRANI  Electric field is the space around the electric charge.  Electric field is represented by lines extending away from positive charge and towards negative charge. These lines are also called the lines of force.  A positive test charge is conventionally used to identify the properties of an electric field. The vector arrow points in the direction of the force that the test charge would experience. E LECTRIC F IELD E LECTRIC F IELD A B E LECTRIC F IELD L INES OF P OINT C HARGES E LECTRIC F IELD L INES OF C ONTINUOUS D ISTRIBUTION OF C HARGES  The magnitude of the electric field due to any point charge ? at any distance ? is given by ? = 𝑘 ? ? 2  The electric force, therefore, on another point charge ? due to this electric field is ¡ ¢ = ??  The SI unit of the electric field is N/C. NOTE: The above equation suggests that the electric force has the same direction of the electric field unless the charge ? is negative.  For any two equal and opposite-signed charges ? and −? separated by a distance ? , the magnitude of their electric dipole is ? = ? ?  The unit of the electric dipole is C.m and its direction is from negative to positive charge.  The magnitude of the electric field at a distance 𝑧 from the midpoint of an electric dipole ? is given by ? = 1 2𝜋𝜀 ∙ ? 𝑧 3 −? ? 𝑧 ? ?  The linear charge density λ is defined as λ=q/L where L is the length of the line (or circumference of the circle).  For a ring having a total charge ? and radius ? , the electric field at a distance 𝑧 from the center is ? = ? 𝑧 4𝜋𝜀 𝑧 2 + ? 2 3 2  The electric field at large distance from the center 𝑧 ≫ ? is ? = ? 4𝜋𝜀 𝑧 2 From this we note that the ring appears like a point charge at large distance from its center.  The electric field at the center of the ring 𝑧 = ¡ is E=0, because the electric force on a test charge located at the center due to any point on the ring will be cancelled by the opposite-sided point.  The surface charge density σ is defined as σ =q/A where A is the area of the surface....
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Ch2+Electric+Field - E LECTRIC F IELD A LI A LZAHRANI ...

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