A thin, flat washer is a disk with an outer diameter of 10.0 cm and a hole in the center with a diameter of 4.00 cm. The washer has a uniform charge distribution and a total charge of 7.00 nC. What is the electric field on the axis of the washer at a distance of 30.0 cm from the center of the washer?
THINK:
The washer will create an electric field which is similar to the electric field of the thin ring of charge.
SKETCH:
The electric field due to the washer is shown in the figure below.
RESEARCH:
Surface charge density is
Field due to a segment is
The distance from the segment charges is
SIMPLIFY:
The electric field on the axis of the washer is
By evaluating the integral, we get
CALCULATE:
Outer radius of thin flat washer,
Inner radius of thin flat washer,
Distance from the center of the washer,
Total charge,
Electric field on the axis of the washer is given by
A thin, flat washer is a disk with an outer diameter of 10.0 cm and a...
A thin and flat washer is a disc with an outer diameter of 10.0 ?? and a hole in the center with a diameter of 4.00 ?? and has a uniform charge distribution and a total charge of 7.00 ?? What is the electric field on the axis of the washer at a distance of 30.0 from its center?
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