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Chapter 26: Q. 2 (page 737)

What is the potential difference between yi=-5cm and yf=5cm in the uniform electric field E→=(120,000i^-50,000j^)V/m?

Short Answer

Expert verified

The potential difference is5kV

Step by step solution

01

Given information and formula used

Given :

yi=-5cm ; and yf=5cm

Uniform electric field : E→=(120,000i^-50,000j^)V/m

Formula used :

∆V=-∆y·Ey

02

Calculating the required the potential difference

We'll assume the x-component of the position is the same for both positions because we don't know anything about it; for example, both positions are measured along the y-axis.

∆y=0.05-(-0.05)=0.1mwill be the difference in the y-component.

With this knowledge, the potential difference will be :

∆V=-∆y·Ey=-0.1(-50000)=5000V

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Most popular questions from this chapter

a. Find an expression for the capacitance of a spherical capacitor, consisting of concentric spherical shells of radii R1(inner shell) and R2(outer shell).

b. A spherical capacitor with a 1.0mmgap between the shells has a capacitance of 100pF. What are the diameters of the two spheres?

Two 10-cm-diameter electrodes 0.50 cm apart form a parallelplate capacitor. The electrodes are attached by metal wires to the terminals of a 15 V battery. What are the charge on each electrode, the electric field strength inside the capacitor, and the potential difference between the electrodes a. While the capacitor is attached to the battery? b. After insulating handles are used to pull the electrodes away from each other until they are 1.0 cm apart? The electrodes remain connected to the battery during this process. c. After the original electrodes (not the modified electrodes of part b) are expanded until they are 20 cm in diameter while remaining connected to the battery?

The two metal spheres in Figure Q26.9 are connected by a metal wire with a switch in the middle. Initially the switch is open. Sphere 1, with the larger radius, is given a positive charge. Sphere 2, with the smaller radius, is neutral. Then the switch is closed. Afterward, sphere 1 has charge Q1, is at potential V1, and the electric field strength at its surface is E1. The values for sphere 2 are Q2,V2,andE2.

a. Is V1larger than, smaller than, or equal to V2? Explain.

b. Is Q1larger than, smaller than, or equal to Q2? Explain.

c. Is E1 larger than, smaller than, or equal to E2? Explain.

How much charge does a 9.0V battery transfer from the negative to the positive terminal while doing 27J of work?

Two 4.0cm×4.0cmmetal plates are separated by a 0.20mm-thick piece of Teflon.

a. What is the capacitance?

b. What is the maximum potential difference between the plates?
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