Every point on ring 1 is at distance √(R^2 + R^2) = R√2 away
from P.
So if we observe a little bit of charge "q", then it produces field
of magnitude
E = kq / (R√2)^2 = kq / (2R^2)
at point P
There is no reason for the resulting field to point in any
direction off the line joining the two rings.
So the components of field perpendicular to line joining them
cancel out. We're only interested in the horizontal
components.
Each little bit of charge on ring 1 produces a field E that points
at 45° from the horizontal.
The purely horizontal component of that field is E*cos45° or using
similar triangles E * (√2 / 2)
= kq/R^2 * (√2 / 4)
Since it is the same for every point on the ring, add that up
around the ring and you get magnitude of field produced by the
entire ring.
E1 = k(q1)/R^2 * (√2 / 4)
Repeat same for ring 2.
Field produced by a little bit of charge is E = kq / ( √[R^2 +
(2R)^2] )^2
E = kq / (5R^2)
Using similar triangles, horizontal component = E * (2R) / √[R^2 +
(2R)^2]
= E * 2 / √5
= kq / (5R^2) * (2 / √5)
= kq/R^2 * 2/(5√5)
So magnitude of total field produced by ring 2 is
E2 = k(q2)/R^2 * 2/(5√5)
We know
E1 = 1.23 E2
Substitute and simplify
q1 * √2 / 4 = 1.23 q2 * 2/(5√5)
q1/q2 = 1.23 * 8 / (5√10) = 6.223
shows two parallel nonconducting rings with their central axes alono a common line. Ring i has...
shows two parallel nonconducting rings with their central axes alono a common line. Ring i has uniform charge o, and radus R: ring 2 has uniform charge oz and the same radius R. The rings are separated by a distance 3.00R. The ratio of the electric field magnitudes of Ring 1 and Ring 2 at point P on the common line is 1.23. What is the ratio of charge maonitudes as/92? Ring I Ring 2 Number Units the tolerance is...
shows two parallel nonconducting rings with their central axes alono a common line. Ring i has uniform charge o, and radus R: ring 2 has uniform charge oz and the same radius R. The rings are separated by a distance 3.00R. The ratio of the electric field magnitudes of Ring 1 and Ring 2 at point P on the common line is 1.23. What is the ratio of charge maonitudes as/92? Ring I Ring 2 Number Units the tolerance is...
The figure shows two parallel nonconducting rings with their central axes along a common line. Ring 1 has uniform charge q, and radlus R; ring 2 has uniform charge 42 and the same radius R. The rings are separated by a distance 3.00R. The ratio of the electric field magnitudes of Ring 1 and Ring 2 at point P on the common line is 1.34. What is the ratio of charge magnitudes q1/92? Rig Ring Numbe Units No units the...
The figure shows two parallel nonconducting rings with their central axes along a common line. Ring 1 has uniform charge q1 and radius R; ring 2 has uniform charge q2 and the same radius R. The rings are separated by a distance 3.00R. The ratio of the electric field magnitudes of Ring 1 and Ring 2 at point P on the common line is 1.98. What is the ratio of charge magnitudes q1/g2 Cr id Ring Ring 2 Number Units
The figure shows two parallel nonconducting rings with their central axes along a common line. Ring 1 has uniform charge 1 and radius R;ring 2 has uniform charge 42 and the same radius R. The rings are separated by a distance 3.00R. The ratio of the electric field magnitudes of Ring 1 and Ring 2 at point on the common line is 181. What is the ratio of charge magnitudes Ring Ring 2 O O Number Units 4 e Textbook...
Chapter 22, Problem 023 The figure shows two parallel nonconducting rings with their central axes along a common line. Ring 1 has uniform charge q1 and radius R; ring 2 has uniform charge q2 and the same radius R. The rings are separated by a distance 3.00R. The ratio of the electric field magnitudes of Ring 1 and Ring 2 at point P on the common line is 3.56. What is the ratio of charge magnitudes q1/q2? RingRing 2 41...
Chapter 22, Problem 023 The figure shows two parallel nonconducting rings with their central axes along a common line. Ring 1 has uniform charge q1 and radius R; ring 2 has uniform charge q2 and the same radius R. The rings are separated by a distance 3.00R. The ratio of the electric field magnitudes of Ring 1 and Ring 2 at point P on the common line is 4.81 What is the ratio of charge magnitudes q1/q2? Ring Ring 71...
14. (13 points): The figure below shows two parallel nonconducting rings arranged with their central axes along a common line. Ring 1 has uniform charge qı and radius R; ring 2 has uniform charge g2 and the same radius R. The rings are separated by a distance d 3.00R. The net electric field at point P on the common line, at distance R from ring 1, is zero. What is the ratio qı/q2? Ring Ring 1 42
per 22, Problem 023 The figure shows two para el ronconducting rings with their central axes along a common line. Ring 1 has uniform charge and radius R ing 2 has radius R. The rings are separated by a distance 3.OOR. The ratio of the electric field magnitudes of Ring 1 and Ring 2 at point Pon the common line is 4.39. What is the ratio of charge form charge and the same magnitudes 1/2 00 the tolerance +/-54
2. (10 POINTS): The Fig. below shows two parallel non-conducting rings with their central axes along a common line. Ring 1 has uniform charge Qi and radius R; ring 2 has uniform charge Q2 and radius R. The rings are separated by distance 3R. The electric field at point P on the common line, at distance R from ring 1, is zero. What is the ratio of Q/Q? Show your work clearly. 3R 2. (10 POINTS): The Fig. below shows...