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The current flowing through a wire depends on time as I = 3t2 + 2t +5. The charge flowing through the cross-section of the wire in time from t = 0 to t = 2 sec. is
- a)22C
- b)20C
- c)18C
- d)5C
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The current flowing through a wire depends on time as I = 3t2 + 2t +5....
Explanation:
Given:
- Current flowing through the wire: I = 3t2 + 2t + 5
- Time interval: t = 0 to t = 2 sec
Charge Flowing Through the Cross-Section of the Wire:
- The charge flowing through the wire is given by the integral of current with respect to time.
- Q = ∫(3t2 + 2t + 5) dt
- Q = [t3 + t2 + 5t] evaluated from t = 0 to t = 2 sec
- Q = [(2)3 + (2)2 + 5(2)] - [(0)3 + (0)2 + 5(0)]
- Q = [8 + 4 + 10] - [0 + 0 + 0]
- Q = 22 C
Therefore, the charge flowing through the cross-section of the wire from t = 0 to t = 2 sec is 22 Coulombs. Hence, the correct answer is A: 22C.
Given:
- Current flowing through the wire: I = 3t2 + 2t + 5
- Time interval: t = 0 to t = 2 sec
Charge Flowing Through the Cross-Section of the Wire:
- The charge flowing through the wire is given by the integral of current with respect to time.
- Q = ∫(3t2 + 2t + 5) dt
- Q = [t3 + t2 + 5t] evaluated from t = 0 to t = 2 sec
- Q = [(2)3 + (2)2 + 5(2)] - [(0)3 + (0)2 + 5(0)]
- Q = [8 + 4 + 10] - [0 + 0 + 0]
- Q = 22 C
Therefore, the charge flowing through the cross-section of the wire from t = 0 to t = 2 sec is 22 Coulombs. Hence, the correct answer is A: 22C.
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The current flowing through a wire depends on time as I = 3t2 + 2t +5. The charge flowing through the cross-section of the wire in time from t = 0 to t = 2 sec. isa)22Cb)20Cc)18Cd)5CCorrect answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The current flowing through a wire depends on time as I = 3t2 + 2t +5. The charge flowing through the cross-section of the wire in time from t = 0 to t = 2 sec. isa)22Cb)20Cc)18Cd)5CCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The current flowing through a wire depends on time as I = 3t2 + 2t +5. The charge flowing through the cross-section of the wire in time from t = 0 to t = 2 sec. isa)22Cb)20Cc)18Cd)5CCorrect answer is option 'A'. Can you explain this answer?.
The current flowing through a wire depends on time as I = 3t2 + 2t +5. The charge flowing through the cross-section of the wire in time from t = 0 to t = 2 sec. isa)22Cb)20Cc)18Cd)5CCorrect answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The current flowing through a wire depends on time as I = 3t2 + 2t +5. The charge flowing through the cross-section of the wire in time from t = 0 to t = 2 sec. isa)22Cb)20Cc)18Cd)5CCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The current flowing through a wire depends on time as I = 3t2 + 2t +5. The charge flowing through the cross-section of the wire in time from t = 0 to t = 2 sec. isa)22Cb)20Cc)18Cd)5CCorrect answer is option 'A'. Can you explain this answer?.
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