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 m = m2 = m and equal charge q = 2 = q. Assume that the charge of each sphere is q = 28 nC, the length of the thread is L = 234 cm and the horizontal separation is a = 17 cm. The x and y directions are shown in the figure. You have the liberty to choose any point as the origin of your coordinate sysiem. (Hint: You may find it convenlent to choose q 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 Give your answer to at least three significance digits. kg 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 = 0. Explain what will happen in your script and answer the followings: b) What will be the new charge of the spheres after they reach equilibrium from step 2. charge of sphere 1 Give your answer to at least three significance digits. א
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 m = m2 = m and equal charge q = 2 = q. Assume that the charge of each sphere is q = 28 nC, the length of the thread is L = 234 cm and the horizontal separation is a = 17 cm. The x and y directions are shown in the figure. You have the liberty to choose any point as the origin of your coordinate sysiem. (Hint: You may find it convenlent to choose q 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 Give your answer to at least three significance digits. kg 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 = 0. Explain what will happen in your script and answer the followings: b) What will be the new charge of the spheres after they reach equilibrium from step 2. charge of sphere 1 Give your answer to at least three significance digits. א
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Please solve a, b & c.
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C?. vacuum permitivity,
€0 = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron,
m. = 9.10938356 x 10-31 kg. The gravitational acceleration near the surface of Earth g = 9.8 m/s. Unless specified
otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb.
ceiling
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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 = 2 = q.
Assume that the charge of each sphere is g = 28 nC, the length of the thread is L = 234 cm and the horizontal separation is
* = 17 cm.
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 q or gz as the origin of your coordinate
system.)
a) Find out the mass of each sphere.
mass of each sphere in S. I. unit
Give your answer to at least three significance digits.
kg
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 = 0. Explain what will happen in your script and answer the followings:
b) What will be the new charge of the spheres after they reach equilibrium from step 2.
charge of sphere 1
Give your answer to at least three significance digits.
charge of sphere 2
Give your answer to at least three significance digits.
c) What will be the new separation of the spheres after they reach equilibrium from step 2. Hint: Use small angle approximation.
equilibrium separation
Give your answer to at least three significance digits.
m
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