Fourpointcharges,eachwithchargeq=+2.0nC,arepositionedequidistantlyaroundacircle of radius r = 5.0 cm as shown in figure (A) below.(a) What is the electric field E at C?(b) What is the potential at point C located at the center (assuming V = 0 infintely far away)?If charge q2 is moved to the same position as q4, as shown in figure (B), what are the new (c) electric field E(d) andpotential at point C? The image features two diagrams labeled (A) and (B), each depicting a circle centered on point C with the x and y axes intersecting at C. In Diagram (A):- The circle is divided into four quadrants by the axes.- Charge $ q_1 $ is located at the top end of the y-axis.- Charge $ q_2 $ is at the right end of the x-axis.- Charge $ q_3 $ is at the bottom end of the y-axis.- Charge $ q_4 $ is at the left end of the x-axis.In Diagram (B):- Charge $ q_1 $ is still at the top end of the y-axis.- Charge $ q_2 $ is positioned at the left end of the y-axis (previously where $ q_4 $ was in (A)).- Charge $ q_3 $ is at the bottom end of the y-axis.- Charge $ q_4 $ is now placed at the left end of the x-axis (previously $ q_2 $).Both diagrams illustrate the symmetrical arrangement of four charges around the center point C on a circular path, with variations in the positions of $ q_2 $ and $ q_4 $ between diagrams (A) and (B). The arrows on the axes indicate their orientation, with x-axis pointing right and y-axis pointing upwards.

Answered: Fourpointcharges,eachwithchargeq=+2.0nC…

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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Fourpointcharges,eachwithchargeq=+2.0nC,arepositionedequidistantlyaroundacircle of radius r = 5.0 cm as shown in figure (A) below. (a) What is the electric field E at C? (b) What is the potential at point C located at the center (assuming V = 0 infintely far away)? If charge q2 is moved to the same position as q4, as shown in figure (B), what are the new (c) electric field E (d) andpotential at point C?

The image features two diagrams labeled (A) and (B), each depicting a circle centered on point C with the x and y axes intersecting at C.

In Diagram (A):
- The circle is divided into four quadrants by the axes.
- Charge $ q_1 $ is located at the top end of the y-axis.
- Charge $ q_2 $ is at the right end of the x-axis.
- Charge $ q_3 $ is at the bottom end of the y-axis.
- Charge $ q_4 $ is at the left end of the x-axis.

In Diagram (B):
- Charge $ q_1 $ is still at the top end of the y-axis.
- Charge $ q_2 $ is positioned at the left end of the y-axis (previously where $ q_4 $ was in (A)).
- Charge $ q_3 $ is at the bottom end of the y-axis.
- Charge $ q_4 $ is now placed at the left end of the x-axis (previously $ q_2 $).

Both diagrams illustrate the symmetrical arrangement of four charges around the center point C on a circular path, with variations in the positions of $ q_2 $ and $ q_4 $ between diagrams (A) and (B). The arrows on the axes indicate their orientation, with x-axis pointing right and y-axis pointing upwards.

Expert Solution

Step 1

Given:-

All the charges are equal and we have given two figure as shown in the question above

$q_{1} = q_{2}, q_{2} = q_{3}, q_{3} = q_{4} and q_{4} = q q = + 2.0 nC$

The radius of the circle is r = 5 cm

Find:-

As shown in figure (A) below.

(a) What is the electric field E at C?

(b) What is the potential at point C located at the center (assuming V = 0 infinitely far away)? If charge q2 is moved to the same position as q4,

as shown in figure (B),

c) what is the new (c) electric field E

(d) and potential at point C?

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