Question

The figure below shows three small, charged spheres, all lying along the horizontal axis. Sphere A, at left, has a 6.15 nC charge. Sphere B has a 1.40 nC charge and is 3.00 cm to the right of A. Sphere C has a -2.55 nC charge and is 2.00 cm to the right of B. (a) What is the magnitude (in N/C) of the electric field at a point 2.00 cm to the right of A? Draw the directions of the electric field vectors, due to each of the three charges, at the point to the right of A. What are the signs of the charges? How does this affect the directions of the field vectors? What is the magnitude of the electric field due to a point charge? Add the fields as vectors to get the net field. Be careful with units and signs. N/C (b) A fourth sphere with a charge of -2.00 nC is placed at this point. What are the magnitude (in N) and direction of the net electric force on it? From part (a), what is the electric field at the given point? If we place a charged particle at this point, how is the force on the particle related to the charge and the electric field at that point? Be careful with units and signs. N direction toward the left

          The figure below shows three small, charged spheres, all lying along the horizontal axis. Sphere A, at left, has a 6.15 nC charge. Sphere B has a 1.40 nC charge and is 3.00 cm to the right of A.
Sphere C has a -2.55 nC charge and is 2.00 cm to the right of B.
(a) What is the magnitude (in N/C) of the electric field at a point 2.00 cm to the right of A?
Draw the directions of the electric field vectors, due to each of the three charges, at the point to the right of A. What are the signs of the charges? How does this affect the directions of the field vectors? What is the magnitude of the electric field due to a point charge? Add the fields as vectors to get the net field. Be careful with units and signs. N/C
(b) A fourth sphere with a charge of -2.00 nC is placed at this point. What are the magnitude (in N) and direction of the net electric force on it?
From part (a), what is the electric field at the given point? If we place a charged particle at this point, how is the force on the particle related to the charge and the electric field at that point? Be careful with units and signs. N
direction
toward the left

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the figure below shows three small charged spheres all lying along the horizontal axis sphere a at left has a 615 nc charge sphere b has a 140 nc charge and is 300 cm to the right of a spher 92457

Added by Jeremy S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert David Morabito

01/31/2022

Step 1

15 \times 10^{-9} C$, $q_B = 1.40 \times 10^{-9} C$, and $q_C = -2.55 \times 10^{-9} C$. The distances are $r_{AP} = 0.02 m$, $r_{BP} = 0.01 m$, and $r_{CP} = 0.03 m$, where P is the point 2.00 cm to the right of A. Show more…

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The figure below shows three small, charged spheres, all lying along the horizontal axis. Sphere A, at left, has a 6.15 nC charge. Sphere B has a 1.40 nC charge and is 3.00 cm to the right of A. Sphere C has a -2.55 nC charge and is 2.00 cm to the right of B. (a) What is the magnitude (in N/C) of the electric field at a point 2.00 cm to the right of A? Draw the directions of the electric field vectors, due to each of the three charges, at the point to the right of A. What are the signs of the charges? How does this affect the directions of the field vectors? What is the magnitude of the electric field due to a point charge? Add the fields as vectors to get the net field. Be careful with units and signs. N/C (b) A fourth sphere with a charge of -2.00 nC is placed at this point. What are the magnitude (in N) and direction of the net electric force on it? From part (a), what is the electric field at the given point? If we place a charged particle at this point, how is the force on the particle related to the charge and the electric field at that point? Be careful with units and signs. N direction toward the left

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Transcript

00:01 This problem, the first thing we're looking for is the electric field at a point two centimeters to the right of charge a, which is on the left here.

00:14 And i've written the actual charge values off to the side here.

00:19 Now, the electric field by definition is the force on unit positive charge, test charge.

00:26 It's imaginary.

00:27 You put it where you want the field, but it's not there.

00:30 But we use it as a device.

00:35 So we have to look at effectively the force of each other charges on it, and then we'll add those up, and they'll give us the net electric field.

00:42 So plus and plus is repulsion.

00:47 So the electric field contribution due to a is to the right, and plus x direction is to the right.

00:57 B, plus, plus, propulsion.

01:00 That will be to the left.

01:07 C is minus plus attractive.

01:13 So that is to the right.

01:16 So those are our three electric fields.

01:18 And we have to add up to get the net.

01:25 So e net x.

01:29 Now, ea is in the positive x direction.

01:33 So e .b is in the negative.

01:37 Eb.

01:38 So there's no angles involved.

01:40 So either it's plus or minus on the magnitude.

01:42 Plus ec.

01:46 And now we use the formula for the electric field of a point charge, k, magnitude of electric field, to be honest, to be precise...

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