If electric current passing through a conductor vanes with time as I = I0 + βt, where I0 = 20A,β = 3A/s, then find charge flow through conductor in first 10 sec.

∫ I . d t = ∫ 0 1 0 ( 2 0 + 3 t ) d t = ( 2 0 t ) 0 1 0 + 3 ( t 2 2 ) 0 1 0 = 3 5 0 C

If electric current passing through a conductor vanes with time as I = I₀ + βt, where I₀ = 20A,β = 3A/s, then find charge flow through conductor in first 10 sec.

Option 1 - 400 C

Option 2 - 500 C

Option 3 - 200 C

Option 4 - 350 C

3 Views|Posted 4 months ago

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Alok Kumar Singh | Contributor-Level 10

4 months ago

Correct Option - 4

Detailed Solution:

$\int I . d t = \int_{0}^{10} (20 + 3 t) d t$

$= {(20 t)}_{0}^{10} + 3 {(\frac{t^{2}}{2})}_{0}^{10} = 350 C$

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