Charge through a cross section of a conductor is given by $Q = 5 t^{2} - 2 t$ coulomb. Find the average current through the conductor in the interval $t_{1} = 2 s$ to $t_{2} = 4 s$ .

14 A

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28 A

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56 A

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7 A

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Solution

The correct option is B $28 A$
$Step 1: Value of Charge at the given instants$
Given, Charge as a function of time: $Q = 5 t^{2} - 2 t$

At $t_{1} = 2 s :$
$Q_{1} = 5 (2)^{2} - 4 = 16 C$

At $t_{2} = 4 s :$
$Q_{2} = 5 (4)^{2} - 8 = 72 C$

$Step 2: Average current$
$I_{A v .} = \frac{Δ Q}{Δ t} = \frac{Q_{2} - Q_{1}}{t_{2} - t_{1}} = \frac{72 - 16}{4 - 2} = 28 A$

Hence Option B is correct

Suggest Corrections

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A charge 0.5 C passes through a cross section of a conductor in 5 s. Find the current.

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