# Electric charge passing through a cross section is quadratic function of time then what can be said about electric current? Option 1) Electric current is constant Option 2) Electric current is also quadratic function of time Option 3) Electric current is linear function of time Option 4) We cannot determine electric current

As we learnt

Electric current -

$I=\lim_{\Delta t\rightarrow 0}\frac{\Delta Q}{\Delta t}=\frac{dQ}{dt}$

- wherein

$I\rightarrow$ Instantaneous Current

$\Delta t\rightarrow$ tends to zero

Since i= dq/dt

Q is quadratic function of time hence on defferentiating we will get current as linear function of time.

Option 1)

Electric current is constant

Option 2)

Electric current is also quadratic function of time

Option 3)

Electric current is linear function of time

Option 4)

We cannot determine electric current

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