Engineering Mathematics III BET 2543

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Engineering Mathematics IIIBET 2543

• Chapter 5
• Scalar and Vector Fields

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Scalar Fields

Electric potential around a charge
Temperature near a heated wall
(The darker region representing higher values )
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Scalar Fields
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• Physical examples of vector fields

Electric field surrounding a positive and a
negative charge.
Magnetic field lines shown by iron filings
The flow field around an airplane
Hurricane
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Gradient of Scalar Fields
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Gradients
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Gradients
Example

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Gradients
Example

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Gradients

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Gradients
Example
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Gradients

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Application of gradient Surface normal vector
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Application of gradient Surface normal vector
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Application of gradient Surface normal vector
Example
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Divergence of Vector Fields
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Curl of Vector Fields
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Curl of Vector Field
Example

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Properties of Del
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Properties of Del
Example