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A current through a wire-depends on time as

i = a0t + bt2

Where a0 = 20A/s and b = 8As-2. Find the charge crossed through a section of the wire in 15s.

Option 1 -

2100C

Option 2 -

2250C

Option 3 -

260C

Option 4 -

11250C

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    a month ago
    Correct Option - 1


    Detailed Solution:

    d q d t = t = 2 0 t + 8 t 2

    ⇒ ∫ 0 q d q = ∫ 0 1 5 ( 2 0 t + 8 t 2 ) d t

    ⇒ q = 2 0 × 1 5 2 2 + 8 . 1 5 3 3 = 1 1 2 5 0 C  

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