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Charge through a cross-section of a conductor is given by Q = (3t2 + 2) C (where t is time in second). The average current through the conductor in the interval t = 1 s to t = 3 s will be
  • a)
    6 A
  • b)
    8 A
  • c)
    16 A
  • d)
    12 A
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Charge through a cross-section of a conductor is given by Q = (3t2 + ...
Given Information:
- Charge through a cross-section of a conductor is given by Q = (3t^2 - 2) C, where t is time in seconds.

To Find:
- The average current through the conductor in the interval t = 1 s to t = 3 s.

Solution:

Step 1: Calculate the total charge:
- We are given the expression for charge as Q = (3t^2 - 2) C.
- To find the total charge, we need to calculate Q at t = 3s and t = 1s and subtract them.
- So, Q(3s) = 3(3^2) - 2 = 27 - 2 = 25 C
- Q(1s) = 3(1^2) - 2 = 3 - 2 = 1 C
- Total charge = Q(3s) - Q(1s) = 25 - 1 = 24 C

Step 2: Calculate the time interval:
- The time interval is given as t = 3s - t = 1s = 3s - 1s = 2s.

Step 3: Calculate the average current:
- Average current is given by the formula I = Q/t, where I is the average current, Q is the total charge, and t is the time interval.
- Substituting the values, we get I = 24 C / 2 s = 12 A.

Answer:
The average current through the conductor in the interval t = 1 s to t = 3 s is 12 A.
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Charge through a cross-section of a conductor is given by Q = (3t2 + ...
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Charge through a cross-section of a conductor is given by Q = (3t2 + 2) C (where t is time in second). The average current through the conductor in the interval t = 1 s to t = 3 s will bea)6 Ab)8 Ac)16 Ad)12 ACorrect answer is option 'D'. Can you explain this answer?
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