Due to Continuous Charge Distributions

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Presentation transcript:

Due to Continuous Charge Distributions Forces and Fields Due to Continuous Charge Distributions Draw from a random position in the charge distribution to the location of interest. Define a coordinate system. Determine and . Determine the charge density, λ, σ or ρ. Determine the differential bit of charge, dq. Determine the limits of integration.

Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center. The x-component must be 0 due to symmetry.

Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center. On a test, the integral should be solved because it is trivial.