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What is the electric potential at the point indicated a dot in FIGURE EX25.31?

Short Answer

Expert verified

The value of electric potential of the dot point of the figure25.31 is1.7×102m

Step by step solution

01

Theory electric potential 

The electric potential equation of a dot points

V=14πε0qr

where the q is the charge points, r is the distance and ε0permittivity free space

For the multiple Points ∑iVi=14πε0qiri

From the given triangle, all distances from O to other points A, B, C are equal.

Due to these facts,OA=OB=OC

OA=OB=OC

02

Value Calculation 

Now, the length of the bc is equal to

12AC=12(3.0)cm=1.5cm

On the basis of the right-angle triangle

the length of

OC=bCcos∠ObC=1.5cmcos∠30°=1.7×10-2

The Value of the Electric Potential of the dot point is

1.7×10-2

01

Theory electric potential 

The electric potential equation of a dot points

V=14πε0qr

where the q is the charge points, r is the distance andε0 permittivity free space

For the multiple Points∑iVi=14πε0qiri

From the given triangle, all distances from O to other points A, B, C are equal.

Due to these facts,OA=OB=OC

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Most popular questions from this chapter

Two10-cm-diameter electrodes 0.50cmapart form a parallel plate capacitor. The electrodes are attached by metal wires to

the terminals of a 15Vbattery. After a long time, the capacitor is disconnected from the battery but is not discharged. What are the charge on each electrode, the electric field strength inside the capacitor, and the potential difference between the electrodes

a. Right after the battery is disconnected?

b. After insulating handles are used to pull the electrodes away from each other until they are 1.0cmapart?

c. After the original electrodes (not the modified electrodes of part b) are expanded until they are 20cmin diameter?

A +3.0 nC charge is at x = 0 cm and a -1.0 nC charge is at x = 4 cm. At what point or points on the x-axis is the electric potential zero?

A capacitor with plates separated by distance dis charged to a potential difference ∆VC. All wires and batteries are disconnected, then the two plates are pulled apart (with insulated handles) to a new separation of distance2d.
a. Does the capacitor chargeQ change as the separation increases?
If so, by what factor? If not, why not?
b. Does the electric field strengthEchange as the separation increases? If so, by what factor? If not, why not?
c. Does the potential difference ∆VCchange as the separation increases? If so, by what factor? If not, why not?

The two halves of the rod in FIGURE EX25.35 are uniformly charged to {Q. What is the electric potential at the point indicated by the dot?

An electron moves along the trajectory of FIGUREQ25.3from itof.
a Does the electric potential energy increase, decrease, or stay the same? Explain.
bIs the electron's speed at fgreater than, less than, or equal to its speed at i? Explain.


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