Three narrow concentric rings of radii 41 mm, 71 mm, and 94 mm are centered about the origin along the y - axis, with the axis of symmetry of each ring oriented along the y axis. The total charge on the inner ring is 1.8 µC, that on the middle ring is -1.0 µC, and that on the outer ring is 1.2 µC. What is the electric field magnitude (in N/C) at (0, 90 mm, 0)? Type in your answer in scientific format correct to one decimal place. Use a period for the decimal point. Do not use a comma. Scientific format is written as for eg. 1.2*10^8 to represent 1.2 × 10° Do NOT include units in your answer. Hint: You may assume that the electric field at a point y on the y-axis from a ring centered about the y-axis is given by Qu E (y) = k- (R²+y²){ where R is the radius of the ring and Q is the total charge on the ring in Coulombs.
Three narrow concentric rings of radii 41 mm, 71 mm, and 94 mm are centered about the origin along the y - axis, with the axis of symmetry of each ring oriented along the y axis. The total charge on the inner ring is 1.8 µC, that on the middle ring is -1.0 µC, and that on the outer ring is 1.2 µC. What is the electric field magnitude (in N/C) at (0, 90 mm, 0)? Type in your answer in scientific format correct to one decimal place. Use a period for the decimal point. Do not use a comma. Scientific format is written as for eg. 1.2*10^8 to represent 1.2 × 10° Do NOT include units in your answer. Hint: You may assume that the electric field at a point y on the y-axis from a ring centered about the y-axis is given by Qu E (y) = k- (R²+y²){ where R is the radius of the ring and Q is the total charge on the ring in Coulombs.
Chapter6: Gauss's Law
Section: Chapter Questions
Problem 55P: The electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the...
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Transcribed Image Text:Three narrow concentric rings of radii 41 mm, 71 mm, and 94 mm are centered about the origin along the y - axis, with the axis of symmetry of
each ring oriented along the y axis. The total charge on the inner ring is 1.8 µC, that on the middle ring is -1.0 µC, and that on the outer ring is 1.2
µC. What is the electric field magnitude (in N/C) at (0, 90 mm, 0)?
Type in your answer in scientific format correct to one decimal place. Use a period for the decimal point. Do not use a comma. Scientific format is
written as for eg. 1.2*10^8 to represent 1.2 × 10° Do NOT include units in your answer.
Hint: You may assume that the electric field at a point y on the y-axis from a ring centered about the y-axis is given by
E (y) = k– Qy
(R+y?)%
where R is the radius of the ring and Q is the total charge on the ring in Coulombs.
Type your answer.
Expert Solution
Step 1
Write the equation for electric field as below.
Here, is the Coulomb constant, is the radius of the ring, is the distance, and is the total charge on the ring in Coulombs.
Given data:
Radius of the ring,
Radius of the ring,
Radius of the ring,
Distance,
The charge on the inner ring,
The charge on the middle ring,
The charge on the outer ring,
The Coulomb constant,
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