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а. Where is the electric field stronger, point A or point B? Explain using physical reasoning. b. If a proton is fired from point B toward point C, will its speed at C be greater than, less than, or the same as B? Explain using physical reasoning.

а. Where is the electric field stronger, point A or point B? Explain using physical reasoning. b. If a proton is fired from point B toward point C, will its speed at C be greater than, less than, or the same as B? Explain using physical reasoning.

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3. A set of equipotential lines is shown below. а. Where is the electric field stronger, point A or point B? Explain using physical reasoning. b. If a proton is fired from point B toward point C, will its speed at C be greater than, less than, or the same as B? Explain using physical reasoning. A. 50И 40V 30V 20V 10V •B
Transcribed Image Text:3. A set of equipotential lines is shown below. а. Where is the electric field stronger, point A or point B? Explain using physical reasoning. b. If a proton is fired from point B toward point C, will its speed at C be greater than, less than, or the same as B? Explain using physical reasoning. A. 50И 40V 30V 20V 10V •B
Expert Solution
Step 1

Electric Field

The electric field is a region in space around a charge or a system of charges such that if a test charge is brought into the region, it will experience a force due to the source charges.

The magnitude of the electric field strength due to a point charge q at a distance r from it is

E=14πεoqr2

 

Electric Potential 

The electric potential at a point is the amount of work done by an external agency in bringing a unit positive charge from infinity to that point under the influence of the electric field produced by other charges.

The electric potential due to a point charge q at a distance r from it is

V=14πεoqr

If we have two equipotential surfaces such that the potential difference between the equipotential surfaces is dV and the distance between them is dr, the electric field between the two surfaces is 

E=-dVdr

Here dVdr is known as the potential gradient. 

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