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The average current of sinusoidly wearing alternate current of peak value 5 ampere with initial phase 0 between the instance t is equal to T / 8 to is equals toT/ 4?
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The average current of sinusoidly wearing alternate current of peak va...
Calculation of Average Current
- The average current of a sinusoidally varying alternating current can be calculated by taking the average value of the current over one complete cycle.
- The formula for calculating the average current is: I_avg = (1/T) * ∫(0 to T) i(t) dt, where T is the time period of the alternating current.
Given Parameters
- Peak value of alternating current, I_m = 5 A
- Initial phase, φ = 0
- We need to find the average current between the time instances t = T/8 and t = T/4.
Representation of Alternating Current
- The alternating current can be represented as: i(t) = I_m * sin(ωt + φ), where ω = 2π/T.
Calculation of Average Current between t = T/8 and t = T/4
- Substituting the given values into the formula for i(t), we get: i(t) = 5 * sin(2πt/T)
- To find the average current between t = T/8 and t = T/4, we need to calculate the average value of i(t) over this interval.
- The average current can be calculated as: I_avg = (1/(T/4 - T/8)) * ∫(T/8 to T/4) 5sin(2πt/T) dt
- After solving the integral, we get the average current value over this interval.
Conclusion
- By following the above steps, you can calculate the average current of a sinusoidally varying alternating current between two specific time instances.
- The average current of a sinusoidally varying alternating current can be calculated by taking the average value of the current over one complete cycle.
- The formula for calculating the average current is: I_avg = (1/T) * ∫(0 to T) i(t) dt, where T is the time period of the alternating current.
Given Parameters
- Peak value of alternating current, I_m = 5 A
- Initial phase, φ = 0
- We need to find the average current between the time instances t = T/8 and t = T/4.
Representation of Alternating Current
- The alternating current can be represented as: i(t) = I_m * sin(ωt + φ), where ω = 2π/T.
Calculation of Average Current between t = T/8 and t = T/4
- Substituting the given values into the formula for i(t), we get: i(t) = 5 * sin(2πt/T)
- To find the average current between t = T/8 and t = T/4, we need to calculate the average value of i(t) over this interval.
- The average current can be calculated as: I_avg = (1/(T/4 - T/8)) * ∫(T/8 to T/4) 5sin(2πt/T) dt
- After solving the integral, we get the average current value over this interval.
Conclusion
- By following the above steps, you can calculate the average current of a sinusoidally varying alternating current between two specific time instances.
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The average current of sinusoidly wearing alternate current of peak value 5 ampere with initial phase 0 between the instance t is equal to T / 8 to is equals toT/ 4?
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The average current of sinusoidly wearing alternate current of peak value 5 ampere with initial phase 0 between the instance t is equal to T / 8 to is equals toT/ 4? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The average current of sinusoidly wearing alternate current of peak value 5 ampere with initial phase 0 between the instance t is equal to T / 8 to is equals toT/ 4? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average current of sinusoidly wearing alternate current of peak value 5 ampere with initial phase 0 between the instance t is equal to T / 8 to is equals toT/ 4?.
The average current of sinusoidly wearing alternate current of peak value 5 ampere with initial phase 0 between the instance t is equal to T / 8 to is equals toT/ 4? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The average current of sinusoidly wearing alternate current of peak value 5 ampere with initial phase 0 between the instance t is equal to T / 8 to is equals toT/ 4? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average current of sinusoidly wearing alternate current of peak value 5 ampere with initial phase 0 between the instance t is equal to T / 8 to is equals toT/ 4?.
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