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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. 21-28a, particles 1 and 2 have charge 20.0μCeach and are held at separation distance d=1.50m. (a) What is the magnitude of the electrostatic force on particle 1 due to particle 2? In Fig. 21-28b, particle 3 of charge 20.0μCis positioned so as to complete an equilateral triangle. (b) What is the magnitude of the net electrostatic force on particle 1 due to particles 2 and 3?

A100Wlamp has a steady current of0.83Ain its filament. How long is required for1molof electrons to pass through the lamp?

Question: Figure 21-31 shows an arrangement of four charged particles, with angle θ=30.0°and distance= 2.00 cm. Particle 2 has chargeq2=+8.00×10-19C; particles 3 and 4 have chargesq3=q4=-1.60×1019C. (a) What is distanceDbetween the origin and particle 2 if the net electrostatic force on particle 1 due to the other particles is zero? (b) If particles 3 and 4 were moved closer to thex-axis but maintained their symmetry about that axis, would the required value ofDbe greater than, less than, or the same as in part (a)?

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?

Two small, positively charged spheres have a combined charge of5.0×10−5 C. If each sphere is repelled from the other by an electrostatic force of1.0Nwhen the spheres are2.0mapart, what is the charge on the sphere with the smaller charge?
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