NEET Exam  >  NEET Questions  >  The current in a wire varies with time accord... Start Learning for Free
The current in a wire varies with time according to the equation I = 4 + 2t, where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time t = 2s to t = 6s is?
  • a)
    40 C
  • b)
    48 C
  • c)
    38 C
  • d)
    43 C
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The current in a wire varies with time according to the equation I = 4...
Given:
I = 4 + 2t
Let dq be the charge which passes in a small interval of time dt. Then
dq = Idt
or dq = (4 + 2t) dt
On integrating, we get

= 48 C
Free Test
Community Answer
The current in a wire varies with time according to the equation I = 4...
Given, the current in a wire varies with time according to the equation I = 4 2t, where I is in ampere and t is in second.

To find: The quantity of charge which has to be passed through a cross-section of the wire during the time t = 2s to t = 6s.

Formula used:

The quantity of charge (Q) passed through a cross-section of a wire is given by the formula Q = It, where I is the current in ampere and t is the time in seconds.

Calculation:

We are given the current equation as I = 4 2t.

So, when t = 2s, I = 4×22 = 16A.

When t = 6s, I = 4×26 = 256A.

So, the current varies from 16A to 256A during the time t = 2s to t = 6s.

The average current during this time interval is given by (16 + 256)/2 = 136A.

Now, using the formula Q = It, we can find the quantity of charge passed through the wire.

Q = 136 × (6 – 2) = 544C.

Therefore, the quantity of charge passed through a cross-section of the wire during the time t = 2s to t = 6s is 544C.

Hence, the correct option is (b) 48 C.
Explore Courses for NEET exam

Top Courses for NEET

Question Description
The current in a wire varies with time according to the equation I = 4 + 2t, where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time t = 2s to t = 6s is?a)40 Cb)48 Cc)38 Cd)43 CCorrect answer is option 'B'. 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 in a wire varies with time according to the equation I = 4 + 2t, where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time t = 2s to t = 6s is?a)40 Cb)48 Cc)38 Cd)43 CCorrect answer is option 'B'. 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 in a wire varies with time according to the equation I = 4 + 2t, where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time t = 2s to t = 6s is?a)40 Cb)48 Cc)38 Cd)43 CCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The current in a wire varies with time according to the equation I = 4 + 2t, where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time t = 2s to t = 6s is?a)40 Cb)48 Cc)38 Cd)43 CCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of The current in a wire varies with time according to the equation I = 4 + 2t, where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time t = 2s to t = 6s is?a)40 Cb)48 Cc)38 Cd)43 CCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The current in a wire varies with time according to the equation I = 4 + 2t, where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time t = 2s to t = 6s is?a)40 Cb)48 Cc)38 Cd)43 CCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The current in a wire varies with time according to the equation I = 4 + 2t, where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time t = 2s to t = 6s is?a)40 Cb)48 Cc)38 Cd)43 CCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The current in a wire varies with time according to the equation I = 4 + 2t, where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time t = 2s to t = 6s is?a)40 Cb)48 Cc)38 Cd)43 CCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The current in a wire varies with time according to the equation I = 4 + 2t, where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time t = 2s to t = 6s is?a)40 Cb)48 Cc)38 Cd)43 CCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev