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The electric charge flowing through a resistor varies as q = α + βt2 where t is time, α and β are constants. What is the current through the resistor?
1. α + βt2
2. αt
3. α + β
4. 2βt

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Best answer
Correct Answer - Option 4 : 2βt

The correct answer is option 4) i.e. 2βt

CONCEPT:

  • Electric current: It is defined as the rate of flow of charge in a conducting material.

It is represented mathematically as:

\(I = \frac{q}{t}\)

Where I is current, q is the charge flowing, and t is the time.

EXPLANATION:

As current is the rate of flow of charge,

So \(I = \frac{dq}{dt} = \frac{d(\alpha + \beta t^2)}{dt} = 2\beta t\)

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