Calculating Resistance Across a Hollow Sphere

In summary, the question asks for the resistance of a hollow sphere with internal radius R1 and outer radius R2 made of a material with resistivity p. The formula for resistance is R = ρ * l / A, where ρ is resistivity, l is length, and A is cross-sectional area. By treating the sphere as a trapezoid with the same top and bottom areas, the resistance can be calculated.
  • #1
raj01b
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Homework Statement


What is the resistance of a hollow sphere made of a material having resistivity p. Its internal radius is R1 & outer radius is R2 ?



Homework Equations


R=rho*l/A



The Attempt at a Solution


Here rho=p, l= R2-R1
have no clue, how to attempt the question.
 
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  • #2
welcome to pf!

welcome to pf!

(have a rho: ρ and try using the X2 icon just above the Reply box :wink:)

the question is asking for the resistance from the inner surface to the outer surface

find the area of the two surfaces, then treat it the same way as a trapezoid with the same top and bottom areas …

what do you get? :smile:
 

FAQ: Calculating Resistance Across a Hollow Sphere

What is resistance in physics?

Resistance in physics is the measure of how difficult it is for electric current to flow through a material. It is caused by collisions between the moving electrons and the atoms of the material.

How is resistance calculated?

Resistance is calculated using Ohm's Law, which states that resistance (R) is equal to the voltage (V) divided by the current (I). In mathematical terms, it can be written as R = V/I.

What factors affect resistance?

The factors that affect resistance include the type of material, the length and cross-sectional area of the material, and the temperature. Materials with high resistivity, longer length, and smaller cross-sectional area have higher resistance. Temperature can also affect resistance, with most materials having higher resistance at higher temperatures.

How does resistance impact electrical circuits?

Resistance plays a crucial role in electrical circuits. It can limit the flow of current and cause a decrease in voltage. This can result in a decrease in the power of the circuit. Additionally, resistance can also cause heat dissipation, which can be beneficial or harmful depending on the application.

What are some real-life examples of resistance?

Some real-life examples of resistance include the use of resistors in electronic devices, such as light bulbs and heaters, to control the flow of current and prevent damage. Resistance is also seen in electric wires, which are designed to have low resistance to efficiently transmit electricity. Another example is the resistance of air, which can make it difficult for objects to move through it, such as airplanes and cars.

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