Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Consider an element represented by the relati...
Start Learning for Free
Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:
- a)non-linear time variant
- b)non-linear time invariant
- c)linear time invariant
- d)linear time variant
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Consider an element represented by the relationship between current i ...
Explanation:
Non-linear relationship between current and voltage:
- The given relationship between current i(t) and voltage v(t) is v(t) = i2(t), which is a non-linear relationship.
- This means that the device does not follow Ohm's law (v = iR) and its resistance is not constant.
Time-invariant nature of the device:
- A time-invariant device has the same characteristics at any point in time, regardless of when it is measured or tested.
- In this case, the device is time-invariant because its characteristics (i.e. the relationship between current and voltage) do not change over time.
Therefore, the correct answer is option B, non-linear time-invariant.
Non-linear relationship between current and voltage:
- The given relationship between current i(t) and voltage v(t) is v(t) = i2(t), which is a non-linear relationship.
- This means that the device does not follow Ohm's law (v = iR) and its resistance is not constant.
Time-invariant nature of the device:
- A time-invariant device has the same characteristics at any point in time, regardless of when it is measured or tested.
- In this case, the device is time-invariant because its characteristics (i.e. the relationship between current and voltage) do not change over time.
Therefore, the correct answer is option B, non-linear time-invariant.
Free Test
FREE
| Start Free Test |
Community Answer
Consider an element represented by the relationship between current i ...
Linear Element: An element is linear if :
- It follows additivity and superposition
- V-I graph is a straight line passing through the origin
Time variant Element: An element is said to be time-variant if the V-I graph varies with time.
Application:
Given V-I characteristic : v(t) = i2(t)
The characteristics can be drawn as,
Given V-I characteristic : v(t) = i2(t)
The characteristics can be drawn as,
It is not a straight line so non-linear
It is time-invariant because in any network analysis problem we take the circuit parameters V and I to be time-invariant.
It is time-invariant because in any network analysis problem we take the circuit parameters V and I to be time-invariant.
Alternate Method:
Shifting the input, we get:
v1(t) = i12 (t - t1)
Now, shifting the output with the same amount, we can write:
v2 (t) = v1(t - t1) = i12 (t - t1) = v1 (t)
v1(t) = i12 (t - t1)
Now, shifting the output with the same amount, we can write:
v2 (t) = v1(t - t1) = i12 (t - t1) = v1 (t)
Since v1(t) = v2(t), the system is time invariant.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:a)non-linear time variantb)non-linear time invariantc)linear time invariantd)linear time variantCorrect answer is option 'B'. Can you explain this answer?
Question Description
Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:a)non-linear time variantb)non-linear time invariantc)linear time invariantd)linear time variantCorrect answer is option 'B'. 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 Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:a)non-linear time variantb)non-linear time invariantc)linear time invariantd)linear time variantCorrect answer is option 'B'. 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 Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:a)non-linear time variantb)non-linear time invariantc)linear time invariantd)linear time variantCorrect answer is option 'B'. Can you explain this answer?.
Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:a)non-linear time variantb)non-linear time invariantc)linear time invariantd)linear time variantCorrect answer is option 'B'. 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 Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:a)non-linear time variantb)non-linear time invariantc)linear time invariantd)linear time variantCorrect answer is option 'B'. 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 Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:a)non-linear time variantb)non-linear time invariantc)linear time invariantd)linear time variantCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:a)non-linear time variantb)non-linear time invariantc)linear time invariantd)linear time variantCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:a)non-linear time variantb)non-linear time invariantc)linear time invariantd)linear time variantCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:a)non-linear time variantb)non-linear time invariantc)linear time invariantd)linear time variantCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:a)non-linear time variantb)non-linear time invariantc)linear time invariantd)linear time variantCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:a)non-linear time variantb)non-linear time invariantc)linear time invariantd)linear time variantCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider an element represented by the relationship between current i (t) and voltage v (t) as follows: v(t) = i2(t). This device is classified as:a)non-linear time variantb)non-linear time invariantc)linear time invariantd)linear time variantCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup