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Question: What would be the magnitude of the electrostatic force between two 1.00Cpoint charges separated by a distance of (a) 1 .00 mand (b) 1.00 kmif such point charges existed (they do not) and this configuration could be set up?

Short Answer

Expert verified

Answer:

  1. The magnitude of the electrostatic force for distance of 1.00 m is9.00×109N.
  2. The magnitude of the electrostatic force for distance of 1.00 km is9.00×103N.

Step by step solution

01

Stating given data

Two point charges of charge are separated by the distance.

  1. r = 1.00 m
  2. r=1.00kmor1000m.
02

Understanding concept of Coulomb’s law

Using the concept of Coulomb's law, we can find the magnitude of the required force between the particles.

Formula:

Magnitude of electrostatic force between any two particles,F=kq1q2r2. (i)

03

a) Calculation of magnitude of force for 

Using the given data in equation (i), we get the magnitude of the force as follows:

F=9×109Nm2/C21.00C21.00m2=9.00×109N

Hence, the value of the force is9.00×109N

04

b) Calculation of magnitude of force for 

Using the given data in equation (i), we get the magnitude of the force as follows:

F=9×109Nm2/C21.00C21.00×103m2=9.00×103N

Hence, the value of the force is9.00×103N

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Most popular questions from this chapter

Figure 21-34ashows charged particles 1 and 2 that are fixed in place on an x-axis. Particle 1 has a charge with a magnitude of|q1|=8.00e. Particle 3 of chargeq3=+8.00eis initially on the x-axis near particle 2.Then particle 3 is gradually moved in the positive direction of the x-axis. As a result, the magnitude of the net electrostatic force on particle 2 due to particles 1 and 3

changes. Figure 21-34bgives the xcomponent of that net force as a function of the position xof particle 3.The scale of the x-axis is setby xs=0.80m. Theplot has an asymptote ofF2net=1.5×10−25 Nasx→∞. As a multiple of eand including the sign, what is the chargeq2of particle 2?

In Fig. 21-26, particle 1 of charge-5.00qand particle 2 of charge +2.00q are held at separation Lon anx-axis. If particle 3 of unknown charge q3is to be located such that the net electrostatic force on it from particles 1 and 2 is zero, what must be the (a) x and (b) y coordinates of particle 3?

In Fig. 21-26, particles 1 and 2 are fixed in place on an xaxis, at a separation ofL=8.00cm.Their charges are q1=+eandq2=-27e. Particle 3 with chargeq3=+4is to be placed on the line between particles 1 and 2, so that they produce a net electrostatic forceF→3,neton it. (a) At what coordinate should particle 3 be placed to minimize the magnitude of that force? (b) What is that minimum magnitude?

In Fig. 21-25, four particles form a square. The charges areq1=q2=Q, and q2=q3=q. (a) What is Q/qif the net electrostatic force on particles 1 and 4 is zero? (b) Is there any value of qthat makes the net electrostatic force on each of the four particles zero? Explain.

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