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A charge Q is uniformly distributed over a plastic sheet .The electric field at a point close to the center of the plate is 20 V/m . If the plate is replaced by copper plate of the same geometrical dimensions and carrying the same charge Q then what is electric field at that point ? Please explain this question?
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A charge Q is uniformly distributed over a plastic sheet .The electric...
Solution:
Given, charge Q is uniformly distributed over a plastic sheet and electric field at a point close to the center of the plate is 20 V/m.
Electric field due to a uniformly charged plate:
- For a uniformly charged plate, electric field at a point close to the center of the plate is given as E = σ/2ε0, where σ is the surface charge density, and ε0 is the permittivity of free space.
- For a uniformly charged plate, the surface charge density is given as σ = Q/A, where Q is the total charge on the plate and A is the area of the plate.
Electric field for a plastic sheet:
- Electric field at a point close to the center of the plastic sheet is given as E = σ/2ε0 = 20 V/m.
- Hence, we can write σ = 40ε0 C/m².
Electric field for a copper plate:
- When the plate is replaced by a copper plate of the same geometrical dimensions and carrying the same charge Q, then the surface charge density σ and area A remain the same.
- However, the permittivity of copper εr is different from the permittivity of free space ε0.
- The electric field at the point close to the center of the copper plate is given as E' = σ/2εrε0.
Substituting the values, we get:
E' = σ/2εrε0 = (Q/A)/(2εrε0) = (σ/2ε0)/(εr/ε0) = E/(εr/ε0)
- Substituting the given values, we get E' = 20/(1.68) = 11.9 V/m.
Hence, the electric field at the point close to the center of the copper plate is 11.9 V/m.
Given, charge Q is uniformly distributed over a plastic sheet and electric field at a point close to the center of the plate is 20 V/m.
Electric field due to a uniformly charged plate:
- For a uniformly charged plate, electric field at a point close to the center of the plate is given as E = σ/2ε0, where σ is the surface charge density, and ε0 is the permittivity of free space.
- For a uniformly charged plate, the surface charge density is given as σ = Q/A, where Q is the total charge on the plate and A is the area of the plate.
Electric field for a plastic sheet:
- Electric field at a point close to the center of the plastic sheet is given as E = σ/2ε0 = 20 V/m.
- Hence, we can write σ = 40ε0 C/m².
Electric field for a copper plate:
- When the plate is replaced by a copper plate of the same geometrical dimensions and carrying the same charge Q, then the surface charge density σ and area A remain the same.
- However, the permittivity of copper εr is different from the permittivity of free space ε0.
- The electric field at the point close to the center of the copper plate is given as E' = σ/2εrε0.
Substituting the values, we get:
E' = σ/2εrε0 = (Q/A)/(2εrε0) = (σ/2ε0)/(εr/ε0) = E/(εr/ε0)
- Substituting the given values, we get E' = 20/(1.68) = 11.9 V/m.
Hence, the electric field at the point close to the center of the copper plate is 11.9 V/m.
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A charge Q is uniformly distributed over a plastic sheet .The electric field at a point close to the center of the plate is 20 V/m . If the plate is replaced by copper plate of the same geometrical dimensions and carrying the same charge Q then what is electric field at that point ? Please explain this question?
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A charge Q is uniformly distributed over a plastic sheet .The electric field at a point close to the center of the plate is 20 V/m . If the plate is replaced by copper plate of the same geometrical dimensions and carrying the same charge Q then what is electric field at that point ? Please explain this question? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A charge Q is uniformly distributed over a plastic sheet .The electric field at a point close to the center of the plate is 20 V/m . If the plate is replaced by copper plate of the same geometrical dimensions and carrying the same charge Q then what is electric field at that point ? Please explain this question? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A charge Q is uniformly distributed over a plastic sheet .The electric field at a point close to the center of the plate is 20 V/m . If the plate is replaced by copper plate of the same geometrical dimensions and carrying the same charge Q then what is electric field at that point ? Please explain this question?.
A charge Q is uniformly distributed over a plastic sheet .The electric field at a point close to the center of the plate is 20 V/m . If the plate is replaced by copper plate of the same geometrical dimensions and carrying the same charge Q then what is electric field at that point ? Please explain this question? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A charge Q is uniformly distributed over a plastic sheet .The electric field at a point close to the center of the plate is 20 V/m . If the plate is replaced by copper plate of the same geometrical dimensions and carrying the same charge Q then what is electric field at that point ? Please explain this question? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A charge Q is uniformly distributed over a plastic sheet .The electric field at a point close to the center of the plate is 20 V/m . If the plate is replaced by copper plate of the same geometrical dimensions and carrying the same charge Q then what is electric field at that point ? Please explain this question?.
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