Oblique slab of conducting material placed in a capacitor

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In summary: How does this help us understand the problem?The symmetry only says that the distribution of charge on the pair of surfaces near one plate will be echoed by the distribution on the other pair. How does this help us understand the problem?In summary, the electric field is orthogonal to the surface of the slab and the charges are uniformly distributed.
  • #1
stefano77
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Homework Statement
oblique slab of conducting material in capacitor
Relevant Equations
noone
l have an oblique slab of material conducting in a capacitor. The plates of capacitor are infinite, parallel and far. How is E field inside capacitor?
 
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  • #2
stefano77 said:
Homework Statement: oblique slab of conducting material in capacitor
Relevant Equations: noone

l have an oblique slab of material conducting in a capacitor. The plates of capacitor are infinite, parallel and far. How is E field inside capacitor?
In what way is the slab oblique? I assume it is finite.
What is the exact question? What does it mean to ask how it is? ("How are you, E-field?", "I'm fine thank you")
Per forum rules, please show your attempt.
 
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  • #3
sorry for my bad english, l am italian. l would like to know what is the value of E inside the capacitor. the slab is finite, but l suppose infinite as it happens in these exercises. Moreover I suppose slab far from plates of capacitor
 
  • #4
stefano77 said:
sorry for my bad english, l am italian. l would like to know what is the value of E inside the capacitor. the slab is finite, but l suppose infinite as it happens in these exercises. Moreover I suppose slab far from plates of capacitor
Think about how the charges will be distributed on the slab.
 
  • #5
Are you sure that this belongs in the introductory-physics category? If I understand the question right, it's a pretty complicated electrostatic boundary-value problem, i.e., a conducting slab within an (asymptotically) homogeneous electric field. If it were parallel to the (asymptotic) homogeneous field, I'd imagine it as a solvable question, but even this is a bit advanced. I guess, I simply don't understand the detailed setup right.
 
  • #6
charges will be distributed on the the slab in an uniform way cause of the simmetry. The problem is similar to capacitor with parallel plates with electric field null outside the slab. Then the original electric field don't change. But this is the problem in my opionion. The electric field isn't orthogonal on the surface of plates.
 
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  • #8
stefano77 said:
charges will be distributed on the the slab in an uniform way cause of the simmetry. The problem is similar to capacitor with parallel plates with electric field null outside the slab. Then the original electric field don't change. But this is the problem in my opionion. The electric field isn't orthogonal on the surface of plates.
You did not answer my question about in what way it is oblique. From the above, I gather it is not parallel to the plates. If so, the charges will not be uniformly distributed across a surface.
However, the net field will be orthogonal to the surface. That is necessarily the case for any conductor.
 
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  • #10
it is just not parallel to the plates. But there is symmetry so that charge is uniformly distributed. l suppose.
 
  • #11
stefano77 said:
there is symmetry so that charge is uniformly distributed
The symmetry only says that the distribution of charge on the pair of surfaces near one plate will be echoed by the distribution on the other pair.
 

FAQ: Oblique slab of conducting material placed in a capacitor

What is the effect of placing an oblique slab of conducting material in a capacitor?

Placing an oblique slab of conducting material in a capacitor generally alters the electric field distribution and can change the capacitance of the system. The conducting slab can create regions with different potential distributions, thus affecting the overall behavior of the capacitor.

How does the orientation of the oblique slab affect the capacitance of the capacitor?

The orientation of the oblique slab affects the capacitance by changing the effective area through which the electric field lines pass. Depending on the angle, the slab can either increase or decrease the effective capacitance by altering the distance between the capacitor plates and the effective dielectric constant.

Does the material of the oblique slab influence the capacitor's performance?

Yes, the material of the oblique slab influences the capacitor's performance. If the slab is made of a highly conductive material, it can significantly alter the electric field and charge distribution. The conductivity and thickness of the slab play crucial roles in determining the extent of these effects.

Can an oblique slab of conducting material be used to fine-tune the capacitance of a capacitor?

Yes, an oblique slab of conducting material can be used to fine-tune the capacitance of a capacitor. By adjusting the angle and position of the slab, one can control the effective dielectric separation and the electric field distribution, thereby fine-tuning the capacitance to desired values.

What are the potential applications of using an oblique slab of conducting material in capacitors?

Potential applications include precision tuning of capacitance in electronic circuits, creating variable capacitors for tuning circuits such as radio frequency (RF) circuits, and designing capacitors with specific electric field distributions for specialized applications in sensors and energy storage devices.

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