JEE Exam > JEE Questions > Charge through a cross-section of a conductor...
Start Learning for Free
Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!!
Most Upvoted Answer
Charge through a cross-section of a conductor is given by Q = 5t^2 - 2...
Calculation of Average Current in a Conductor
Given: Charge through the conductor, Q = 5t^2 - 2t coulomb
To find: The average current through the conductor in the time interval t1 = 2 s to t2 = 4 s.
Formula: The average current (I) is defined as the total charge (Q) passing through a conductor in a time interval (t) divided by the time interval. Mathematically, it can be expressed as:
I = ΔQ/Δt
where ΔQ is the change in charge and Δt is the change in time.
Solution:
Step 1: Calculate the charge passing through the conductor in the time interval from t1 = 2 s to t2 = 4 s.
Substituting t1 = 2 s and t2 = 4 s in the given equation, we get:
Q2 - Q1 = (5t2^2 - 2t2) - (5t1^2 - 2t1)
Q2 - Q1 = (5(4)^2 - 2(4)) - (5(2)^2 - 2(2))
Q2 - Q1 = (80 - 8) - (20 - 4)
Q2 - Q1 = 56 C
Therefore, the charge passing through the conductor in the time interval from t1 = 2 s to t2 = 4 s is 56 C.
Step 2: Calculate the time interval (Δt) between t1 = 2 s and t2 = 4 s.
Δt = t2 - t1
Δt = 4 s - 2 s
Δt = 2 s
Therefore, the time interval between t1 = 2 s and t2 = 4 s is 2 s.
Step 3: Calculate the average current (I) through the conductor.
I = ΔQ/Δt
I = 56 C/2 s
I = 28 A
Therefore, the average current through the conductor in the time interval from t1 = 2 s to t2 = 4 s is 28 A.
Conclusion:
Hence, the average current through the conductor in the time interval from t1 = 2 s to t2 = 4 s is 28 A.
Given: Charge through the conductor, Q = 5t^2 - 2t coulomb
To find: The average current through the conductor in the time interval t1 = 2 s to t2 = 4 s.
Formula: The average current (I) is defined as the total charge (Q) passing through a conductor in a time interval (t) divided by the time interval. Mathematically, it can be expressed as:
I = ΔQ/Δt
where ΔQ is the change in charge and Δt is the change in time.
Solution:
Step 1: Calculate the charge passing through the conductor in the time interval from t1 = 2 s to t2 = 4 s.
Substituting t1 = 2 s and t2 = 4 s in the given equation, we get:
Q2 - Q1 = (5t2^2 - 2t2) - (5t1^2 - 2t1)
Q2 - Q1 = (5(4)^2 - 2(4)) - (5(2)^2 - 2(2))
Q2 - Q1 = (80 - 8) - (20 - 4)
Q2 - Q1 = 56 C
Therefore, the charge passing through the conductor in the time interval from t1 = 2 s to t2 = 4 s is 56 C.
Step 2: Calculate the time interval (Δt) between t1 = 2 s and t2 = 4 s.
Δt = t2 - t1
Δt = 4 s - 2 s
Δt = 2 s
Therefore, the time interval between t1 = 2 s and t2 = 4 s is 2 s.
Step 3: Calculate the average current (I) through the conductor.
I = ΔQ/Δt
I = 56 C/2 s
I = 28 A
Therefore, the average current through the conductor in the time interval from t1 = 2 s to t2 = 4 s is 28 A.
Conclusion:
Hence, the average current through the conductor in the time interval from t1 = 2 s to t2 = 4 s is 28 A.
Community Answer
Charge through a cross-section of a conductor is given by Q = 5t^2 - 2...
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!!
Question Description
Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!! for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!! covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!!.
Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!! for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!! covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!!.
Solutions for Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!! in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!! defined & explained in the simplest way possible. Besides giving the explanation of
Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!!, a detailed solution for Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!! has been provided alongside types of Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!! theory, EduRev gives you an
ample number of questions to practice Charge through a cross-section of a conductor is given by Q = 5t^2 - 2t coulomb. Find the average current through the conductor in the interval t1 = 2 s to t2 = 4 s.Answer is 28 A....Is there any physics expert who will able to tell me how to solve this....!! tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup