An electron is fi red at a speed v0 = 5.6 x 106 m/s and at an angle θ0 = -45° between two parallel conducting plates that are D = 2.0 mm apart, as in Figure P16.68. If the voltage difference between the plates is ?V = 100 V, determine (a) how close, d, the electron will get to the bottom plate and (b) where the electron will strike the top plate.FIGURE P16.68

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An electron is fi red at a speed v0 = 5.6 x 106 m/s and at an angle θ0 = -45° between two parallel conducting plates that are D = 2.0 mm apart, as in Figure P16.68. If the voltage difference between the plates is ?V = 100 V, determine (a) how close, d, the electron will get to the bottom plate and (b) where the electron will strike the top plate.

FIGURE P16.68

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Expert Solution
Step 1

The electric field can be calculated as,

Advanced Physics homework question answer, step 1, image 1

Step 2

The acceleration for electrons can be calculated as below,

Advanced Physics homework question answer, step 2, image 1

The direction of the acceleration is along vertically upward direction, as can be seen easily that acceleration is acting in the opposite direction of the electric field for electrons.

 

Step 3

Now, if electron is fired making taking a 45º angle, the vertical velocity and the horizontal velocity can be calculated as below,

Advanced Physics homework question answer, step 3, image 1

Step 4

Since, the acceleration is in vertical direction therefore it acts only for the velocity’s vertical component,

Advanced Physics homework question answer, step 4, image 1

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