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Exercise:
For a thin film resistor a cylindrical ceramic or glass carrier is covered with a thin conducting layer. The thickness of the layer is typically between .microm and microm. Carbon metals or metal oxides are typical conductors used for this type of resistors. abcliste abc How thick is the layer for a carbon graphite film resistor with a length of LO a diameter of dO and a resistance of RO? abc How can the same resistor be realised with a thicker layer? abcliste

Solution:
abcliste abc Since the carbon layer is very thin we can approximate it as a thin cuboid with length L width pi d and thickness h. It follows for the resistance that R sscrhoelfracLA sscrhoelfracLpi d h Solving for the thickness h leads to h hF fracretimesLpitimesdtimesR h approx resulthP- abc A common approach is to cut a groove o the layer that spirals along the resistor thereby increasing the length and reducing the width of the layer. This allows for a thicker layer while keeping the resistance constant. abcliste
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Exercise:
For a thin film resistor a cylindrical ceramic or glass carrier is covered with a thin conducting layer. The thickness of the layer is typically between .microm and microm. Carbon metals or metal oxides are typical conductors used for this type of resistors. abcliste abc How thick is the layer for a carbon graphite film resistor with a length of LO a diameter of dO and a resistance of RO? abc How can the same resistor be realised with a thicker layer? abcliste

Solution:
abcliste abc Since the carbon layer is very thin we can approximate it as a thin cuboid with length L width pi d and thickness h. It follows for the resistance that R sscrhoelfracLA sscrhoelfracLpi d h Solving for the thickness h leads to h hF fracretimesLpitimesdtimesR h approx resulthP- abc A common approach is to cut a groove o the layer that spirals along the resistor thereby increasing the length and reducing the width of the layer. This allows for a thicker layer while keeping the resistance constant. abcliste
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Branches
Direct Current
Tags
resistance, resistivity
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Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration
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Link