Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permitivity, ϵ0=8.854×10−12F/m. Magnitude of the Charge of one electron, e=−1.60217662×10^-19C. Mass of one electron, me=9.10938356×10−31kg. The gravitational acceleration near the surface of Earth g=9.8m/s2. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb . step 1: Two small identically charged conducting spheres 1 and 2 of equal mass are hung from a fixed support with non conducting threads of equal length as shown in the figure. Both the spheres have equal mass m1=m2=m and equal charge q1=q2=q. Assume that the charge of each sphere is q=36nC , the length of the thread is L=233cm and the horizontal separation is x=17cm. You must draw the figure properly in your pdf. The x and y directions are shown in the figure. You have the liberty to choose any point as the origin of your coordinate system. (Hint: You may find it convenient to choose q1 or q2 as the origin of your coordinate system.) a) Find out the mass of each sphere. Mass of each sphere in S.I. unit. step 2: Now, say we discharge sphere 2, without changing any other variables. Discharging means that the new charge of the sphere 2 is q′2=0. Explain what will happen and answer the followings: b) What will be the new charge of sphere1 and sphere2 after they reach equilibrium from step 2. c) What will be the new separation of the spheres after they reach equilibrium from step 2
Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permitivity, ϵ0=8.854×10−12F/m. Magnitude of the Charge of one electron, e=−1.60217662×10^-19C. Mass of one electron, me=9.10938356×10−31kg. The gravitational acceleration near the surface of Earth g=9.8m/s2. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .
step 1: Two small identically charged
You must draw the figure properly in your pdf. The x and y directions are shown in the figure. You have the liberty to choose any point as the origin of your coordinate system. (Hint: You may find it convenient to choose q1 or q2 as the origin of your coordinate system.)
a) Find out the mass of each sphere. Mass of each sphere in S.I. unit.
step 2: Now, say we discharge sphere 2, without changing any other variables. Discharging means that the new charge of the sphere 2 is q′2=0. Explain what will happen and answer the followings:
b) What will be the new charge of sphere1 and sphere2 after they reach equilibrium from step 2.
c) What will be the new separation of the spheres after they reach equilibrium from step 2
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