Physics - Current Electricity Question with Solution | TestHub

PhysicsCurrent ElectricityCircuit AnalysisHard2 minPYQ_2016

PhysicsHardsingle choice

A current $I = I_{0} e^{- λ t}$ is flowing in a circuit consisting of a parallel combination of resistance $R$ and capacitance $C$ . The total charge over the entire pulse period is

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Answer:

Solution:

The current $1 = 1_{0} e^{- x}$ is of exponential nature. $I = \frac{d Q}{d t} = I_{0} e^{- λ t}$ $d Q = I_{0} e^{- λ t} d t$ $\int_{0}^{Q} d Q = I_{0} \int_{t = 0}^{t = - \infty} e^{- λ t} \cdot d t$ $Q = I_{0} \times \frac{1}{λ} = \frac{I _{0}}{λ}$

Stream:WBJEESubject:PhysicsTopic:Current ElectricitySubtopic:Circuit Analysis

⏱ 2mℹ️ Source: PYQ_2016

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