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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Question

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

$E = \frac{1}{4 π ε_{o}} \frac{q}{r^{2}}$

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

$V = \frac{1}{4 π ε_{o}} \frac{q}{r}$

If we have two equipotential surfaces such that the potential difference between the equipotential surfaces is $d V$ and the distance between them is $d r$ , the electric field between the two surfaces is

$E = - \frac{d V}{d r}$

Here $\frac{d V}{d r}$ is known as the potential gradient.

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