The charge flown through a circuit in the time interval between t and t+dt is given by dq= $e^{- t / t}$ dt, where t is a constant. Find the total charge flown through the circuit between t=0 to t=t.

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Solution

$I = Q / T$

So $q = I T$

Or $d q = e^{-} t / 5$ .dt So integrate From 0 to 5

Int . dq (with limits ) $= e^{-} t / 5. d t$ (with limits)

$Q = - e^{-} t / 5 |$ from 0 to 5

$Q = - 1 / 5 (1 / e - 1)$

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The charge flown through a circuit in the time interval between t and t+dt is given by dq= e−t/tdt, where t is a constant. Find the total charge flown through the circuit between t=0 to t=t.

I=Q/T Soq=IT Or dq=e−t/5.dt So integrate From 0 to 5 Int . dq (with limits )=e−t/5.dt (with limits) Q=−e−t/5| from 0 to 5 Q=−1/5(1/e−1)

The charge flown through a circuit in the time interval between t and t+dt is given by dq= $e^{- t / t}$ dt, where t is a constant. Find the total charge flown through the circuit between t=0 to t=t.

$I = Q / T$

So $q = I T$

Or $d q = e^{-} t / 5$ .dt So integrate From 0 to 5

Int . dq (with limits ) $= e^{-} t / 5. d t$ (with limits)

$Q = - e^{-} t / 5 |$ from 0 to 5

$Q = - 1 / 5 (1 / e - 1)$