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Standard VIII

Physics

Charge

The current t...

Question

The current through a wire connected to a condenser varies with time as $i = (2 t + 1) A$ The charge transport to the condenser from $t = 0$ to $t = 5 s$ is

5 C

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55 C

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30 C

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60 C

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Solution

The correct option is C $30 C$
We know,

$q = \int i . d t$

Here,

$q = \int_{0}^{5} (2 t + 1) . d t$

$q = t^{2} + t]_{0}^{5}$

$q = 5^{2} + 5 = 25 + 5 = 30 C$

Option $C$ is the correct answer

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The current through a wire connected to a condenser varies with time as i=(2t+1)A The charge transport to the condenser from t=0 to t=5s is

The correct option is C 30CWe know,q=∫i.dtHere,q=∫50(2t+1).dtq=t2+t]50q=52+5=25+5=30 COption C is the correct answer

The current through a wire connected to a condenser varies with time as $i = (2 t + 1) A$ The charge transport to the condenser from $t = 0$ to $t = 5 s$ is

The correct option is C $30 C$
We know,

$q = \int i . d t$

Here,

$q = \int_{0}^{5} (2 t + 1) . d t$

$q = t^{2} + t]_{0}^{5}$

$q = 5^{2} + 5 = 25 + 5 = 30 C$

Option $C$ is the correct answer