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If the current in a coil having a constant inductance of L henrys grows at a uniform rate, what is the value of the average current?
- a)I
- b)I/2
- c)I/4
- d)0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the current in a coil having a constant inductance of L henrys grow...
The average current is the average of the current which flows in the inductor. Hence it is I/2.
Most Upvoted Answer
If the current in a coil having a constant inductance of L henrys grow...
To find the value of the average current in a coil with a constant inductance of L henrys, we can use the formula for average current:
Average Current (I_avg) = (Change in Current) / (Change in Time)
Since the current is growing at a uniform rate, the change in current will be the difference between the final current (I_f) and the initial current (I_i). The change in time will be the time it takes for the current to grow from I_i to I_f.
Let's consider the initial current as I_i and the final current as I_f.
1. Change in Current:
The change in current is given by the formula:
Change in Current = I_f - I_i
2. Change in Time:
The change in time is the time it takes for the current to grow from I_i to I_f. Let's assume this time is t seconds.
3. Inductance (L):
The inductance of the coil is given as L henrys.
Using these values, we can calculate the average current as follows:
Average Current (I_avg) = (I_f - I_i) / t
Since the current is growing at a uniform rate, we can assume that the average current is half of the sum of the initial and final currents:
I_avg = (I_i + I_f) / 2
Substituting this into the previous equation, we get:
(I_i + I_f) / 2 = (I_f - I_i) / t
Multiplying both sides by 2t, we get:
I_i + I_f = 2(I_f - I_i)
Simplifying further:
I_i + I_f = 2I_f - 2I_i
Rearranging the terms:
3I_i = I_f
Dividing both sides by 3, we get:
I_i = I_f / 3
Therefore, the average current (I_avg) is equal to half of the final current (I_f), which can be represented as I_avg = I_f / 2.
Hence, the correct answer is option B: I/2.
Average Current (I_avg) = (Change in Current) / (Change in Time)
Since the current is growing at a uniform rate, the change in current will be the difference between the final current (I_f) and the initial current (I_i). The change in time will be the time it takes for the current to grow from I_i to I_f.
Let's consider the initial current as I_i and the final current as I_f.
1. Change in Current:
The change in current is given by the formula:
Change in Current = I_f - I_i
2. Change in Time:
The change in time is the time it takes for the current to grow from I_i to I_f. Let's assume this time is t seconds.
3. Inductance (L):
The inductance of the coil is given as L henrys.
Using these values, we can calculate the average current as follows:
Average Current (I_avg) = (I_f - I_i) / t
Since the current is growing at a uniform rate, we can assume that the average current is half of the sum of the initial and final currents:
I_avg = (I_i + I_f) / 2
Substituting this into the previous equation, we get:
(I_i + I_f) / 2 = (I_f - I_i) / t
Multiplying both sides by 2t, we get:
I_i + I_f = 2(I_f - I_i)
Simplifying further:
I_i + I_f = 2I_f - 2I_i
Rearranging the terms:
3I_i = I_f
Dividing both sides by 3, we get:
I_i = I_f / 3
Therefore, the average current (I_avg) is equal to half of the final current (I_f), which can be represented as I_avg = I_f / 2.
Hence, the correct answer is option B: I/2.
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If the current in a coil having a constant inductance of L henrys grows at a uniform rate, what is the value of the average current?a)Ib)I/2c)I/4d)0Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about If the current in a coil having a constant inductance of L henrys grows at a uniform rate, what is the value of the average current?a)Ib)I/2c)I/4d)0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the current in a coil having a constant inductance of L henrys grows at a uniform rate, what is the value of the average current?a)Ib)I/2c)I/4d)0Correct answer is option 'B'. Can you explain this answer?.
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