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In Problems 63 through 66 you are given the equation(s) used to solve a problem. For each of these

a. Write a realistic problem for which this is the correct equation(s).

b. Finish the solution of the problem

2.0×1012m/s2=(1.60×10-19C2)E(1.67×10-27kg)E=Q(8.85×10-12C2/Nm2)(0.020m)2Q

Short Answer

Expert verified

(a) What is the strength of the electric field between two parallel conducting planes when a proton is discharged in an area between planes with an acceleration of 2×1012m/s2?

(b) The solution is 7.36×10-11C

Step by step solution

01

Given information and formula used

Given :

2.0×1012m/s2=(1.60×10-19C2)E(1.67×10-27kg)E=Q(8.85×10-12C2/Nm2)(0.020m)2Q

Theory used :

The electric field between two conducting parallel plates is the potential difference divided by the distance by which they are separated.

02

Writing a realistic problem and finding the solution of the problem 

(a) Realistic Problem :

What is the strength of the electric field between two parallel conducting planes when a proton is discharged in an area between planes with an acceleration of 2×1012m/s2?

(b) Solution :

2.0×1012m/s2=(1.60×10-19C2)E(1.67×10-27kg)E=(2.0×1012m/s2)(1.67×10-27kg)(1.60×10-19C2)=2.08×104N/C

Also,

E=Q(8.85×10-12C2/Nm2)(0.020m)2Q=(2.08×104N/C)(8.85×10-12C2/Nm2)(0.020m)2=7.36×10-11C

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Most popular questions from this chapter

You have a summer intern position with a company that designs and builds nanomachines. An engineer with the company is designing a microscopic oscillator to help keep time, and you’ve been assigned to help him analyze the design. He wants to place a negative charge at the center of a very small, positively charged metal ring. His claim is that the negative charge will undergo simple harmonic motion at a frequency determined by the amount of charge on the ring.

a. Consider a negative charge near the center of a positively charged ring centered on the z-axis. Show that there is a restoring force on the charge if it moves along the z-axisbut stays close to the center of the ring. That is, show there’s a force that tries to keep the charge at z=0. b. Show that for small oscillations, with amplitude <<R, a particle of mass mwith charge-qundergoes simple harmonic motion with frequency f=12πqQ4πε0mR3,RandQare the radius and charge of the ring.

c. Evaluate the oscillation frequency for an electron at the center of a 2.0μmdiameter ring charged to 1.0×10-13C.

Two 2.0-cmdiameter disks face each other, 1.0mmapart. They are charged to ±10nC.

a. What is the electric field strength between the disks?

b. A proton is shot from the negative disk toward the positive disk. What launch speed must the proton have to just barely reach the positive disk?

FIGURE shows a thin rod of length Lwith total charge Q. Find an expression for the electric fieldE at point P. Give your answer in component form.

A ring of radius Rhas total chargeQ.

aAt what distance along the z-axis is the electric field strength a maximum?

bWhat is the electric field strength at this point?

Show that the on-axis electric field of a ring of charge has the expected behavior when zRand whenzR.

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