Home
Class 11
PHYSICS
The charge flown through a circuit in th...

The charge flown through a circuit in the time interval between `t and t+dt` is given by `dq=e^(-t/tau)dt,` where `tau` is a constnt. Find the total charge flown through the circuit betweent `t=0 to t=tau`.

Text Solution

Verified by Experts

The totla charge flown is the sum of all the dq's for t varying from t=0 to `t=t_0`. Thus, the total charge flown is
`Q=inttau_0 e^(-t/tau)dt`
`=[(e^(-t/tau))/(-1/tau)]^tau_0=tau(1-1/e)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Force applied on a body is given by F=(3t^(2)-2t+10) N where t is in seconds. Find impulse imparted in t=0 to t=2 sec.

Force applied on a body is given by F=(3t^(2)-2t+30) N where t is in seconds. Find impulse imparted in t=0 to t=2 sec.

For a moving paritcle, the relation between time and position is given by t = Ax ^(2) + Bx. Where A and B are contants. Find the acceleration of the particle as a function of velocity.

The velocity of a particle is given by v=(2t^(2)-4t+3)m//s where t is time in seconds. Find its acceleration at t=2 second.

The velocity of a particle is given by v=(4t^(2)-4t+5)m//s where t is time in seconds. Find its acceleration at t=4 second.

The velocity of a particle is given by v=(5t^(2)-6t+5)m//s where t is time in seconds. Find its acceleration at t=4 second.

The velocity of a particle is given by v=(5t^(2)-2t+9)m//s where t is time in seconds. Find its acceleration at t=4 second.

The charge flowing throug a conductor beginning with time to=0 is given by the formula q=2t^(2)+3t+1 (coulombs). Find the current i=(dq)/(dt) at the end of the 5th seconds.

A particle moving along x-axis has acceleration f , at time t , given by f = f_0 (1 - (t)/(T)) , where f_0 and T are constant. The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when f = 0 , the particle's velocity (v_x) is :

The time dependence of a physical quantity P is given by P=P_(0) exp (-alpha t^(2)) , where alpha is a constant and t is time. The constant alpha