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Chapter 21: Q59P (page 629)

What is the total charge in coulombs of75.0kgof electrons?

Short Answer

Expert verified

q=−1.32×1013C

Step by step solution

01

Given

Mass of collection of electrons is,M=75.0 kg

02

Understanding the concept

Charges are quantized. It means the charge on any object is equal to the integer multiple of an elementary charge. The charge will always be present in an integer number and never as a fraction.

03

Calculate the total charge in coulombs of 75.0 kg of electrons

The mass of an electron ism=9.11×10−31kg, so the number of electrons in a collection with total massM=75.0 kg.

n=Mm=75.0kg9.11×10−31kg=8.23×10+31electrons

The total charge of the collection is,

q=−ne=−(8.23×10+31electrons)(1.60×10−19C)=−1.32×1013C

Therefore,the total charge of the collection is1.32×1013C.

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Most popular questions from this chapter

In Fig. 21-26, particle 1 of charge q1=−80.0μCand particle 2 of charge q2=+40.0μCare held at separation L=20.0 cmon an xaxis. In unit-vector notation, what is the net electrostatic force on particle 3, of charge q3=20.0 μC, if particle 3 is placed at (a)x=40.0cm and (b) x=80.0 cm? What should be the (c) xand (d) ycoordinates of particle 3 if the net electrostatic force on it due to particles1 and 2 is zero?

Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.108Nwhen their center-to-center separation is50.0cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0360N. Of the initial charges on the spheres, with a positive net charge, what were (a) the negative charge on one of them and (b) the positive charge on the other?

Figure 21-14 shows two charged particles on an axis. The charges are free to move. However, a third charged particle can be placed at a certain point such that all three particles are then in equilibrium. (a) Is that point to the left of the first two particles, to their right, or between them? (b) Should the third particle be positively or negatively charged? (c) Is the equilibrium stable or unstable?

Figure 21-14 shows two charged particles on an axis. The charges are free to move. However, a third charged particle can be placed at a certain point such that all three particles are then in equilibrium. (a) Is that point to the left of the first two particles, to their right, or between them? (b) Should the third particle be positively or negatively charged? (c) Is the equilibrium stable or unstable?

In Fig. 21-39, two tiny conducting balls of identical mass mand identical charge hang from non-conducting threads of length L. Assume that u is so small that tan u can be replaced by its approximate equal, sin u.

(a) Show thatx=(q2L2πε0mg)1/3gives the equilibrium separation xof the balls.

(b) If L=120cm,and, x=5.0cmwhat is|q|?
See all solutions

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