Question
Asked Jun 20, 2019
223 views

The figure shows a rectangular array of charged particles fixed in place, with distance a = 33.7 cm and the charges shown as integer multiples of q1 = 3.32 pC and q2 = 7.25 pC. With V= 0 at infinity, what is the net electric potential at the rectangle's center?

 

+442
+24
a
+21
+442
help_outline

Image Transcriptionclose

+442 +24 a +21 +442

fullscreen
check_circle

Expert Answer

Step 1

The distance between each charge, a = 33.7 cm = 0.337 m

Charges shown in the array are multiples of, q1=3.32 pC = 3.32 x 10-12C and , q2=7.25 pC= 7.25 x 10-12C

We need to find the electric potential at the center of the rectangular array.

+42
+24
a/2
a/2
+21
+442
help_outline

Image Transcriptionclose

+42 +24 a/2 a/2 +21 +442

fullscreen
Step 2

The electric potential due to charges arranged in the rectangular array can be calculated by finding the potential due to individual charges at the center and then adding them up.

1
4TE
-3q,+2
a 5a
+442
+
+2q,+4
a
1
+
5a
+
V
4 тE,
2
2
2
2
2
2
1
0+
4q2
4q2
2q, - З4, + 29, —4
1
4TE
Va
47TE
2
2
2
help_outline

Image Transcriptionclose

1 4TE -3q,+2 a 5a +442 + +2q,+4 a 1 + 5a + V 4 тE, 2 2 2 2 2 2 1 0+ 4q2 4q2 2q, - З4, + 29, —4 1 4TE Va 47TE 2 2 2

fullscreen
Step 3

Substitute the ...

4x7.25x102 c
4q2
3.14x8.85 x1012c'n'm2x0.168m
6.21V
TE,а
help_outline

Image Transcriptionclose

4x7.25x102 c 4q2 3.14x8.85 x1012c'n'm2x0.168m 6.21V TE,а

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Electric Charges and Fields

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: football kickedfrom 63 yards away from goalpost that is 10 feet above the ground. If the initial spe...

A: A football is projected with a velocity of 15 m/s at an angle of 45° from a height of 10 feet above ...

question_answer

Q: Kiting during a storm. The legend that Benjamin Franklin flew a kite as a storm approached is only a...

A: Given:

question_answer

Q: An air conditioner connected to a 120 V rms ac line is equivalent to a 17.6 Ω resistance and a 1.31 ...

A: GivenVoltage applied Vrms = 120 VResistance R = 17.6 ohmInductive resistance XL= 1.31 ohm

question_answer

Q: A fan is turned off, and its angular speed decreases from 10.0 rad/s to 6.3 rad/s in 5.0 s. What is ...

A: The expression for the angular acceleration,

question_answer

Q: A long solenoid has 100 turns/cm and carries current i. An electron moves within the solenoid in a c...

A: Magnetic field in the solenoid is given by :

question_answer

Q: The curved section of a speedway is a circular arc having a radius of 190 m. The curve is properly b...

A: Given radius of the circular arc (r) = 190 metersSafe speed of the cars on curved path is (v) = 34 m...

question_answer

Q: A meter stick balances horizontally on a knife-edge at the 50.0 cm mark. With two 5.37 g coins stack...

A: The meter stick is in equilibrium when the 50.0 cm mark (center of mass) is placed on the knife edge...

question_answer

Q: The initial temperature of 13 moles of an ideal gas is 358 K. 18000 J of heat are added to the gas a...

A: It is given that on adding heat energy, gas gets expanded. It means that volume of gas gets changed....

question_answer

Q: Chapter 27, Problem 007 from A wire of resistance 5.1 Ω is connected to a battery whose emf ε is 4.0...

A: Given: R = 5.1 ohmr = 0.69 ohmemf = 4 Vt = 2.1 min = 2.1 × 60 = 126 secondsFind: (a) The energy tran...