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Chapter 13: Q30P (page 541)

In a hydrogen atom in its ground state, the electron is on average a distance of about 0.5×10-10mfrom the proton. What is the magnitude of the electric field due to the proton at this distance from the proton?

Short Answer

Expert verified

The electric field due to proton at the given distance is 5.76×1011N/C.

Step by step solution

01

Identification of given data

The given data can be listed below,

  • The distance of electron from the proton isr=0.5×10-10m
02

Concept/Significance of Coulomb’s Law.

An electrostatic law is Coulomb's law. The other law is that opposite charges attract and comparable charges repel, which is factored into Coulomb's law in its vector form.

03

Determination of the electric field due to proton

Following coulomb law and definition of electric field, electric field is given by,

E=q4πε0r2

Here,q is the charge on the proton whose value is 1.6×10-19C,14πε0, is the coulomb constant whose value is 9×109N.m2C2 and r is the distance of proton.

Substitute all the values in the above,

E=9×109N.m2/C21.6×10-19C0.5×10-10m2=5.76×1011N/C

Thus, the electric field due to proton at the given distance is 5.76×1011N/C.

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Most popular questions from this chapter

In Figure 13.66 a proton at location A makes an electric field E→1at location B. A different proton, placed at location B, experiences a force F→1. Now the proton at B is removed and replaced by a lithium nucleus, containing three protons and four neutrons. (a) Now what is the value of the electric field at location B due to the proton? (b) What is the force on the lithium nucleus? (c) The lithium nucleus is removed, and an electron is placed at location B. Now what is the value of the electric field at location B due to the proton? (d) What is the magnitude of the force on the electron? (e) Which arrow in Figure 13.65 best indicates the direction of the force on the electron due to the electric field?

You want to create an electric field ⟨0, 4104, 0⟩ N/Cat location ⟨0, 0, 0⟩.

(a) Where would you place a proton to produce this field at the origin?

(b) Instead of a proton, where would you place an electron to produce this field at the origin?

Where could you place one positive charge and one negative

charge to produce the pattern of the electric field shown in Figure 13.58? (As usual, each electric field vector is drawn with its tail at the location where the electric field was measured.) Briefly explain your choices.

4 A sphere with radius 2cm is placed at a location near a point charge. The sphere has a charge of -8×10-10C spread uniformly over its surface. The electric field due to the point charge has a magnitude of 500N/C at the center of the sphere. What is the magnitude of the force on the sphere due to the point charge?

A dipole consists of two charges +6 nCand −6 nC, held apart by a rod of length 3 mm, as shown in Figure 13.71. (a) What is the magnitude of the electric field due to the dipole at location A, 5 cmfrom the center of the dipole? (b) What is the magnitude of the electric field due to the dipole at location B, 5 cmfrom the center of the dipole?
See all solutions

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