Current electricity

Electricity and Magnetism Level 3

Current \(i\) flowing through a wire is such that after every \(t_0\) sec the current becomes half the previous value. The magnitude rate of change of this current with time also varies the same as the current.Find the total charge flown through the wire.

Details and Assumptions
- Current at t = 0 , is 1 A.
- \(t_0 \) = 1 sec.
- \( |\dfrac{di}{dt}| = 1 \) at t = 0.
- Current is continuously decreasing.
Extra Fact: I've given numbers for numerical answers only. but it is true for any interval of time.


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