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Physics - Current Electricity Question with Solution | TestHub

PhysicsCurrent ElectricityMicroscopicHard2 minQB

PhysicsHardsingle choice

A current through a wire depends on time as $i = α_{0} t + β t^{2}$ , where $α_{0} = 20 A s^{- 1}$ and $β = 8 A s^{- 2}$ . Find the charge crossed through a section of the wire in $15 s .$

Options:

Answer:

Solution:

$i = 20 t + 8 t^{2}$

$i = \frac{d q}{d t} \Rightarrow\in t d q =\in t i d t$

$\Rightarrow q =\in t_{0}^{15} (20 t + 8 t^{2}) d t$

$q = (\frac{20 t ^{2}}{2} + \frac{8 t ^{3}}{3})_{0}^{15}$

$q = 10 \times (15)^{2} + \frac{8 ( 15 ) ^{3}}{3}$

$q = 2250 + 9000$

$q = 11250 C$

Stream:JEESubject:PhysicsTopic:Current ElectricitySubtopic:Microscopic

⏱ 2mℹ️ Source: QB

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