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Three infinite plane sheets carrying charge densities sigma, alphaxsigma and 2xsigma are placed parallel to the x y -plane at z=-2 a, 3 a and 5 a respectively. If the electric field at (0,0,0) is zero, then the electric field at (0,0 ,4 a) is?
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Three infinite plane sheets carrying charge densities sigma, alphaxsi...
Electric Field Calculation:
Electric field at a point due to a charged plane sheet is given by:
E = σ/2ε₀
where σ is the charge density on the plane sheet and ε₀ is the permittivity of free space.
Electric Field at (0,0,0):
- The electric field at (0,0,0) is zero because the three plane sheets are parallel to the xy-plane and symmetrical with respect to the origin.
- The electric fields produced by the three plane sheets cancel each other out at the origin due to their opposite directions.
Electric Field at (0,0,4a):
- Electric field due to the plane sheet at z = -2a is zero at point (0,0,4a) because it is located above the plane sheet.
- Electric field due to the plane sheet at z = 3a at point (0,0,4a) is E = (2σ/2ε₀) = σ/ε₀ in the positive z-direction.
- Electric field due to the plane sheet at z = 5a at point (0,0,4a) is E = (4σ/2ε₀) = 2σ/ε₀ in the positive z-direction.
- The net electric field at point (0,0,4a) is the sum of the electric fields due to the two plane sheets at z = 3a and z = 5a.
Therefore, the electric field at point (0,0,4a) is 3σ/ε₀ in the positive z-direction.
Electric field at a point due to a charged plane sheet is given by:
E = σ/2ε₀
where σ is the charge density on the plane sheet and ε₀ is the permittivity of free space.
Electric Field at (0,0,0):
- The electric field at (0,0,0) is zero because the three plane sheets are parallel to the xy-plane and symmetrical with respect to the origin.
- The electric fields produced by the three plane sheets cancel each other out at the origin due to their opposite directions.
Electric Field at (0,0,4a):
- Electric field due to the plane sheet at z = -2a is zero at point (0,0,4a) because it is located above the plane sheet.
- Electric field due to the plane sheet at z = 3a at point (0,0,4a) is E = (2σ/2ε₀) = σ/ε₀ in the positive z-direction.
- Electric field due to the plane sheet at z = 5a at point (0,0,4a) is E = (4σ/2ε₀) = 2σ/ε₀ in the positive z-direction.
- The net electric field at point (0,0,4a) is the sum of the electric fields due to the two plane sheets at z = 3a and z = 5a.
Therefore, the electric field at point (0,0,4a) is 3σ/ε₀ in the positive z-direction.
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Three infinite plane sheets carrying charge densities sigma, alphaxsigma and 2xsigma are placed parallel to the x y -plane at z=-2 a, 3 a and 5 a respectively. If the electric field at (0,0,0) is zero, then the electric field at (0,0 ,4 a) is?
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Three infinite plane sheets carrying charge densities sigma, alphaxsigma and 2xsigma are placed parallel to the x y -plane at z=-2 a, 3 a and 5 a respectively. If the electric field at (0,0,0) is zero, then the electric field at (0,0 ,4 a) is? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Three infinite plane sheets carrying charge densities sigma, alphaxsigma and 2xsigma are placed parallel to the x y -plane at z=-2 a, 3 a and 5 a respectively. If the electric field at (0,0,0) is zero, then the electric field at (0,0 ,4 a) is? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three infinite plane sheets carrying charge densities sigma, alphaxsigma and 2xsigma are placed parallel to the x y -plane at z=-2 a, 3 a and 5 a respectively. If the electric field at (0,0,0) is zero, then the electric field at (0,0 ,4 a) is?.
Three infinite plane sheets carrying charge densities sigma, alphaxsigma and 2xsigma are placed parallel to the x y -plane at z=-2 a, 3 a and 5 a respectively. If the electric field at (0,0,0) is zero, then the electric field at (0,0 ,4 a) is? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Three infinite plane sheets carrying charge densities sigma, alphaxsigma and 2xsigma are placed parallel to the x y -plane at z=-2 a, 3 a and 5 a respectively. If the electric field at (0,0,0) is zero, then the electric field at (0,0 ,4 a) is? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three infinite plane sheets carrying charge densities sigma, alphaxsigma and 2xsigma are placed parallel to the x y -plane at z=-2 a, 3 a and 5 a respectively. If the electric field at (0,0,0) is zero, then the electric field at (0,0 ,4 a) is?.
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