3. Two infinite sheets of equal and opposite charge are placed facing each other with a distance of 1.50 m separating them. The positive sheet is on the left and the negative sheet is on the right. If a lone point charge of -5.00 µC with a mass of 3.15 x 10-7 kg is at the midpoint between the plates and is released from rest, it reaches the positive sheet with a speed of 1200 m/s. a) Through what electric potential difference did the point charge move?

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3. Two infinite sheets of equal and opposite charge are placed facing each other
with a distance of 1.50 m separating them. The positive sheet is on the left and the
negative sheet is on the right. If a lone point charge of -5.00 µC with a mass of
3.15 x 10-7 kg is at the midpoint between the plates and is released from rest, it
reaches the positive sheet with a speed of 1200 m/s.
a) Through what electric potential difference did the point charge move?
Transcribed Image Text:3. Two infinite sheets of equal and opposite charge are placed facing each other with a distance of 1.50 m separating them. The positive sheet is on the left and the negative sheet is on the right. If a lone point charge of -5.00 µC with a mass of 3.15 x 10-7 kg is at the midpoint between the plates and is released from rest, it reaches the positive sheet with a speed of 1200 m/s. a) Through what electric potential difference did the point charge move?
Expert Solution
Concept

Using work-energy theorem

The Sum of change in kinetic energy of a particle and change in potential energy of a particle is zero.

Now change in kinetic energy of the particle is given by

Advanced Physics homework question answer, step 1, image 1

Where m = mass of the particle, u = initial speed of the particle, v = final speed of the particle

Change in electric potential energy is given by

Advanced Physics homework question answer, step 1, image 2

Where q = Charge on the particle, Advanced Physics homework question answer, step 1, image 3 = Potential difference

 

Using work-energy theorem

Advanced Physics homework question answer, step 1, image 4

Answer

Charge on particle Advanced Physics homework question answer, step 2, image 1

Mass of particle m = 3.15 × 10- 7  kg

Initial speed of particle u = 0 m/s (at rest)

Final speed of particle v = 1200 m/s

 

(a)

Let Advanced Physics homework question answer, step 2, image 2 = Electric potential difference 

Then using the work-energy theorem

Advanced Physics homework question answer, step 2, image 3

 

 

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