What is the magnitude of a point charge that would create an electric field of1.00N/Cat points1.00maway?

Short Answer

Expert verified

The magnitude of the point charge is1.11×10-10C

Step by step solution

01

The given data

a) The magnitude of the electric field,E=1.00N/C

b) The distance of the point from the particle,R=1m

02

Understanding the concept of electric field 

Using the concept of the electric field at a given point, we can get its charge value from the given formula.

Formula:

The magnitude of the electric field,E=q4πεoR2 (1)

where R = The distance of field point from the charge, q = charge of the particle

03

Calculation of the charge of the point

Using the given data in equation (1), the magnitude of the charge of the point is given as follows:

q=4πεoR2E=1.00N/C1.00m28.99×109N.m2C2=1.11×10-10C

Hence, the value of the charge is 1.11×10-10C

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Most popular questions from this chapter

In Fig. 22-29, an electron e travels through a small hole in plate A and then toward plate B. A uniform electric field in the region between the plates then slows the electron without deflecting it. (a) What is the direction of the field? (b) Four other particles similarly travel through small holes in either plate Aor plate Band then into the region between the plates. Three have charges+q1
,+q2
, and.q3The fourth (labeled n) is a neutron, which is electrically neutral. Does the speed of each of those four other particles increase, decrease, or remain the same in the region between the plates?

In Fig. 22-66, particle 1 (of charge+1.00μC), particle 2 (of charge), and particle 3 (of charge Q) form an equilateral triangle of edge length a. For what value of Q(both sign and magnitude) does the net electric field produced by the particles at the center of the triangle vanish?

In Fig. 22-34 the electric field lines on the left have twice the separation of those on the right. (a) If the magnitude of the field at Ais40N/C, what is the magnitude of the force on a proton at A? (b) What is the magnitude of the field at B?

The electric field of an electric dipole along the dipole axis is approximated by equations. 22-8 and 22-9. If a binomial expansion is made of Eq. 22-7, what is the next term in the expression for the dipole’s electric field along the dipole axis, that is, what isEnext in the expressionE=12πεoqdz3+Enext ?

Figure 22-28 shows two disks and a flat ring, each with the same uniform charge Q. Rank the objects according to the magnitude of the electric field they create at points P(which are at the same vertical heights), greatest first.

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