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A parallel plate capacitor with plate area of 5 cm2 and plate separation of 3 mm has a voltage 50sin103t applied to its plate. Calculate the displacement current assuming ε = 2ε0.
- a)147.4 cos103tnA
- b)125.8 cos103tμA
- c)166.2 cos103tnA
- d)99 cos103tμA
Correct answer is option 'A'. Can you explain this answer?
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A parallel plate capacitor with plate area of 5 cm2 and plate separati...
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Which is the same as the conduction current given by
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A parallel plate capacitor with plate area of 5 cm2 and plate separati...
To calculate the displacement current, we need to use the formula:
Displacement Current = ε₀ * dΦE/dt
Where:
ε₀ is the permittivity of free space (8.85 x 10^-12 F/m)
dΦE/dt is the rate of change of electric flux through the capacitor plates
To find dΦE/dt, we need to calculate the electric field between the plates of the capacitor. The electric field can be calculated using the formula:
E = V/d
Where:
E is the electric field
V is the voltage applied
d is the plate separation
Given:
Plate area (A) = 5 cm² = 5 x 10^-4 m²
Plate separation (d) = 3 mm = 3 x 10^-3 m
Voltage (V) = 50sin(103t)
First, let's calculate the electric field:
E = V/d
E = (50sin(103t))/(3 x 10^-3)
Next, let's calculate the rate of change of electric flux:
dΦE/dt = E * A
dΦE/dt = (50sin(103t))/(3 x 10^-3) * 5 x 10^-4
Finally, let's calculate the displacement current:
Displacement Current = ε₀ * dΦE/dt
Displacement Current = 8.85 x 10^-12 * (50sin(103t))/(3 x 10^-3) * 5 x 10^-4
Simplifying the expression:
Displacement Current = (0.148sin(103t))/(3 x 10^-3)
Displacement Current = ε₀ * dΦE/dt
Where:
ε₀ is the permittivity of free space (8.85 x 10^-12 F/m)
dΦE/dt is the rate of change of electric flux through the capacitor plates
To find dΦE/dt, we need to calculate the electric field between the plates of the capacitor. The electric field can be calculated using the formula:
E = V/d
Where:
E is the electric field
V is the voltage applied
d is the plate separation
Given:
Plate area (A) = 5 cm² = 5 x 10^-4 m²
Plate separation (d) = 3 mm = 3 x 10^-3 m
Voltage (V) = 50sin(103t)
First, let's calculate the electric field:
E = V/d
E = (50sin(103t))/(3 x 10^-3)
Next, let's calculate the rate of change of electric flux:
dΦE/dt = E * A
dΦE/dt = (50sin(103t))/(3 x 10^-3) * 5 x 10^-4
Finally, let's calculate the displacement current:
Displacement Current = ε₀ * dΦE/dt
Displacement Current = 8.85 x 10^-12 * (50sin(103t))/(3 x 10^-3) * 5 x 10^-4
Simplifying the expression:
Displacement Current = (0.148sin(103t))/(3 x 10^-3)
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A parallel plate capacitor with plate area of 5 cm2 and plate separation of 3 mm has a voltage 50sin103tapplied to its plate. Calculate the displacement current assuming ε = 2ε0.a)147.4 cos103tnAb)125.8 cos103tμAc)166.2 cos103tnAd)99 cos103tμACorrect answer is option 'A'. Can you explain this answer?
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A parallel plate capacitor with plate area of 5 cm2 and plate separation of 3 mm has a voltage 50sin103tapplied to its plate. Calculate the displacement current assuming ε = 2ε0.a)147.4 cos103tnAb)125.8 cos103tμAc)166.2 cos103tnAd)99 cos103tμACorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A parallel plate capacitor with plate area of 5 cm2 and plate separation of 3 mm has a voltage 50sin103tapplied to its plate. Calculate the displacement current assuming ε = 2ε0.a)147.4 cos103tnAb)125.8 cos103tμAc)166.2 cos103tnAd)99 cos103tμACorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A parallel plate capacitor with plate area of 5 cm2 and plate separation of 3 mm has a voltage 50sin103tapplied to its plate. Calculate the displacement current assuming ε = 2ε0.a)147.4 cos103tnAb)125.8 cos103tμAc)166.2 cos103tnAd)99 cos103tμACorrect answer is option 'A'. Can you explain this answer?.
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