Two parallel plates, each charged equally and oppositely to the other, are separated by 8.9500 cm....

Two parallel plates, each charged equally and oppositely to the other, are separated by 8.9500 cm. A proton is let go from rest at the positive plate's surface and, at the same time, an electron is let go from rest at the negative plate's surface. What is the distance between the negative plate and the point where the proton and the electron go by each other?

Note: unlike most questions, this one will need your answer correct to 5 significant digits. Make sure you enter that many into the box below.

Expert Solution

Let initial position of the proton be 0 and that of electron is d=8.95cm. The initial velocities of both proton and electron are 0.

So at any time t, position of proton is ........(1) and position of electron is .......(2). Here m_p and m_e are mass of proton and electron respectively.

So at time at which both the particles pass

.......(3)

Substituting eqn(3) in eqn(2) one gets

So position is x=0.0049867m

genius_generous answered 2 years ago

Two capacitor plates are equally and oppositely charged. They are separated by 1.5cm . An electron...

Two capacitor plates are equally and oppositely charged. They are separated by 1.5cm . An electron is released from rest at the surface of the negative plate and, at the same time, a proton is released from rest at the surface of the positive plate. Where do the electron and proton pass each other? Give your answer as a distance from the positive plate.

Two capacitor plates are equally and oppositely charged. They are separated by 1.4cm . An electron...

Two capacitor plates are equally and oppositely charged. They are separated by 1.4cm . An electron is released from rest at the surface of the negative plate and, at the same time, a proton is released from rest at the surface of the positive plate. Where do the electron and proton pass each other? Give your answer as a distance from the positive plate.

Consider two oppositely charged, isolated parallel plates separated by distance D, with capacitance C, charge Q,...

Consider two oppositely charged, isolated parallel plates separated by distance D, with capacitance C, charge Q, and stored energy U. D is small compared to the dimensions of the plates. For each statement below, select "True" or "False". 1. Because of energy conservation, inserting a dielectric leaves U unchanged. 2. When D is halved, Q stays the same. 3. Inserting a dielectric decreases C. 4. When D is doubled, U increases. 5. When D is doubled, C is doubled. 6....

A uniform electric field exists in the region between two oppositely charged parallel plates 1.70cmapart. A...

A uniform electric field exists in the region between two oppositely charged parallel plates 1.70cmapart. A proton is released from rest at the surface of the positively charged plate and strikes the surface of the opposite plate in a time interval 1.45

Two 2.50 cm × 2.50 cm plates that form a parallel-plate capacitor are charged to ±...

Two 2.50 cm × 2.50 cm plates that form a parallel-plate capacitor are charged to ± 0.708 nC . Part A What is the electric field strength inside the capacitor if the spacing between the plates is 1.50 mm ? Part C What is the electric field strength inside the capacitor if the spacing between the plates is 3.00 mm ?

A capacitor consists of two 4.3-cm-diameter circular plates separated by 1.0 mm. The plates are charged...

A capacitor consists of two 4.3-cm-diameter circular plates separated by 1.0 mm. The plates are charged to 130 V , then the battery is removed. A) How much energy is stored in the capacitor? U_C = __J How much work must be done to pull the plates apart to where the distance between them is 2.0 mm? W = _J

A proton is projected horizontally midway between two parallel plates that are separated by 0.50 cm....

A proton is projected horizontally midway between two parallel plates that are separated by 0.50 cm. The electrical field due to the plates has magnitude 610,000 N/C between the plates away from the edges. The plates are 5.60 cm long. (e = 1.60 × 10-19 C, mp = 1.67× 10-27 kg). a) Calculate the electric force acting on the particle and its acceleration. Indicate the direction of the force and of the acceleration. b) Find the minimum speed of the...

Which statements are true for two oppositely charged, isolated parallel plates: C=capacitance, U=stored energy (Q and...

Which statements are true for two oppositely charged, isolated parallel plates: C=capacitance, U=stored energy (Q and -Q = charge on the plates). Note: Isolated plates can not lose their charge. a) Inserting a dielectric increases Q. b) True False Increasing the distance increases the Electric field. c) True False When the distance is halved, Q stays the same. d) True False Inserting a dielectric increases C. e) True False Inserting a dielectric decreases U. f) True False When the distance is doubled, U increases. g)...

A parallel-plate capacitor made of circular plates of radius 65 cm separated by 0.30 cm is...

A parallel-plate capacitor made of circular plates of radius 65 cm separated by 0.30 cm is charged to a potential difference of 800 Volts by a battery. Then a sheet of mylar is pushed between the plates, completely filling the gap between them. How much additional charge flows from the battery to one of the plates when the mylar is inserted?

An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm2, separated...

An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm2, separated by a distance of 2.00 mm. (a) If a 16.0 V potential difference is applied to these plates, calculate the electric field between the plates. kv/m (b) What is the surface charge density? nC/m2 (c) What is the capacitance? pF (d) Find the charge on each plate. pC

Question