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Q. 36 - Excercises And Problems

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 655

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Short Answer

What are the strength and direction of the electric field at the position indicated by the dot in ? Give your answer in component form and as a magnitude and angle measured or (specify which) from the positive -axis.

Part

The electric field in component as

Part

The magnitude is and the angle is

See the step by step solution

Step by Step Solution

Step: 1 Electrostatic force: 

Find the net electrostatic force by dividing the components of the electrostatic potential due to all positive ions at the target point.

In the diagram below, the placement of the electrons and the vector of the related fields are depicted

Step; 2 Equating: (part a)

The electric filed intensity as

Solving as,

The vector form as

Step: 3 Field intensity: (part a)

The Field intensity as

Calculate radius as

The angle as

Step; 4 Substituting: (part a)

From the above equation,

Solving as

The component in field as

Solving as

Step: 5 Field intensity: (part a)

The intensity field as

The net electric field is

The net field component as

Step: 6 Finding magitude: (part b)

The magnitude in field as

Solving as

Step: 7 Finding angle: (part b)

The angle as

Solving as

As a result, the net field is degrees around from the negative -axis, or counterclockwise from the positive -axis.

As a result, the net field's relative positive -axis rotates almost counterclockwise.

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