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Standard XII

Physics

The Flow of Electrons as Electric Current

The currect t...

Question

The currect through a wire depends on time as,
$i = (10 + 4 t)$
Here, $i$ is in ampere and $t$ in seconds. Find the charge crossed through a section in time interval between $t = 0$ to $t = 10 s$ .

300 C

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400 C

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500 C

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600 C

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Solution

The correct option is A $300 C$
$i = 10 + 4 t \Rightarrow \frac{d q}{d t} = 10 + 4 t$
$\Rightarrow q \int 0 d q = 10 \int 0 (10 + 4 t) d t$
$\Rightarrow q = [10 t + 2 t^{2}]_{0}^{10} = 300 C$

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The currect through a wire depends on time as, i=(10+4t) Here, i is in ampere and t in seconds. Find the charge crossed through a section in time interval between t=0 to t=10 s.

The correct option is A 300 Ci=10+4t⇒dqdt=10+4t ⇒q∫0dq=10∫0(10+4t)dt ⇒q=[10t+2t2]100=300 C

The currect through a wire depends on time as,
$i = (10 + 4 t)$
Here, $i$ is in ampere and $t$ in seconds. Find the charge crossed through a section in time interval between $t = 0$ to $t = 10 s$ .

The correct option is A $300 C$
$i = 10 + 4 t \Rightarrow \frac{d q}{d t} = 10 + 4 t$
$\Rightarrow q \int 0 d q = 10 \int 0 (10 + 4 t) d t$
$\Rightarrow q = [10 t + 2 t^{2}]_{0}^{10} = 300 C$