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The inward and outward electric flux for a closed surface in units of
N - m2/coulomb are respectively 8x103 and 4x103 Then the total charge inside the surface is
N - m2/coulomb are respectively 8x103 and 4x103 Then the total charge inside the surface is
- a)4x103 coulomb
- b)- 4x103 coulomb
- c)(-4x103 )/ ∈0 coulomb
- d)-4x103 ∈0 coulomb
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The inward and outward electric flux for a closed surface in units ofN...
Net flux inside a closed surface is q /£o .
but we know that for positive charge flux is outward and for negative charge flux is inward . ATQ , inward flux is more than outward flux so net inward flux is 8× 10-3 -4 × 10-3 = 4 × 10-3 but net inward flux flux is due to negative charge do we represent it as -4×10-3/£o
but we know that for positive charge flux is outward and for negative charge flux is inward . ATQ , inward flux is more than outward flux so net inward flux is 8× 10-3 -4 × 10-3 = 4 × 10-3 but net inward flux flux is due to negative charge do we represent it as -4×10-3/£o
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The inward and outward electric flux for a closed surface in units ofN...
Given Data:
- Inward electric flux: 8x10^3 N m^2/C
- Outward electric flux: 4x10^3 N m^2/C
Explanation:
1. Understanding Electric Flux:
Electric flux is the measure of electric field passing through a given area. Inward flux represents the electric field entering the closed surface, while outward flux represents the electric field leaving the closed surface.
2. Calculating Total Charge Inside:
- Total electric flux = Inward flux - Outward flux
- Total electric flux = 8x10^3 - 4x10^3
- Total electric flux = 4x10^3 N m^2/C
3. Using Gauss's Law:
According to Gauss's Law, the total electric flux through a closed surface is equal to the total charge enclosed by that surface divided by the permittivity of free space (ε0).
- Total electric flux = Total charge inside / ε0
- 4x10^3 = Total charge inside / ε0
4. Finding Total Charge Inside:
- Total charge inside = 4x10^3 × ε0
- Total charge inside = 4x10^3 × 8.85x10^-12 C^2/N m^2
- Total charge inside = 4x10^3 × 8.85x10^-12
- Total charge inside = 3.54x10^-8 Coulombs
Therefore, the total charge inside the surface is -4x10^3 × ε0 coulombs, which is option 'D'.
- Inward electric flux: 8x10^3 N m^2/C
- Outward electric flux: 4x10^3 N m^2/C
Explanation:
1. Understanding Electric Flux:
Electric flux is the measure of electric field passing through a given area. Inward flux represents the electric field entering the closed surface, while outward flux represents the electric field leaving the closed surface.
2. Calculating Total Charge Inside:
- Total electric flux = Inward flux - Outward flux
- Total electric flux = 8x10^3 - 4x10^3
- Total electric flux = 4x10^3 N m^2/C
3. Using Gauss's Law:
According to Gauss's Law, the total electric flux through a closed surface is equal to the total charge enclosed by that surface divided by the permittivity of free space (ε0).
- Total electric flux = Total charge inside / ε0
- 4x10^3 = Total charge inside / ε0
4. Finding Total Charge Inside:
- Total charge inside = 4x10^3 × ε0
- Total charge inside = 4x10^3 × 8.85x10^-12 C^2/N m^2
- Total charge inside = 4x10^3 × 8.85x10^-12
- Total charge inside = 3.54x10^-8 Coulombs
Therefore, the total charge inside the surface is -4x10^3 × ε0 coulombs, which is option 'D'.
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The inward and outward electric flux for a closed surface in units ofN - m2/coulomb are respectively 8x103and 4x103Then the total charge inside the surface isa)4x103coulombb)- 4x103 coulombc)(-4x103)/ ∈0 coulombd)-4x103 ∈0 coulombCorrect answer is option 'D'. Can you explain this answer?
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