The current in a conductor is expressed as , where is in Ampere and is in second. The amount of electric charge that flows through a section of the conductor during s to s is C.

Question

The current in a conductor is expressed as , where  is in Ampere and  is in second. The amount of electric charge that flows through a section of the conductor during  s to  s is  C.

Canvas Classes · Accepted Answer

🧠 Integrate the Current — Same Habit Again

The current is . It is changing with time, so the charge from  s to  s is the integral, not .

This is now a routine integration. The function is not linear this time, so the average-current shortcut does not apply directly — you must integrate properly.

The habit I want you to build: every time you see  as a polynomial or any function of time, your hand should go straight to the integral sign. No more thinking, no more guessing — integrate between

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