A coil carrying a steady current is short-circuited. The current in it decreases `alpha` times in time `t_(0)`. The time constant of the circuit is

Consider the circuit shown below. When switch S_(1) is closed, let I be the current at time t, then applying Kirchhoff's law E-iR-L (di)/(dt) = 0 or int_(0)^(i) (di)/(E-iR) = 1/L int_(0)^(1) dt i=E/R (1-e^(-R/l *t)) L/R = time constant of circuit When current reaches its steady value (=i_(0) , open S_(1) and close S_(2) , the current does reach to zero finally but decays expnentially. The decay equation is given as i=i_(0)e^(-R/L *T) ). When a coil carrying a steady current is short circuited, the current decreases in it eta times in time t_(0) . The time constant of the circuit is

Consider the circuit shown below. When switch S_(1) is closed, let I be the current at time t, then applying Kirchhoff's law E-iR-L (di)/(dt) = 0 or int_(0)^(i) (di)/(E-iR) = 1/L int_(0)^(1) dt i=E/R (1-e^(-R/l *t)) L/R = time constant of circuit When current reaches its steady value (=i_(0) , open S_(1) and close S_(2) , the current does reach to zero finally but decays expnentially. The decay equation is given as i=i_(0)e^(-R/L *T) ). When a coil carrying a steady current is short circuited, the current decreases in it eta times in time t_(0) . The time constant of the circuit is

When a choke coil carrying a steady current is short circuited, the current in it decreases to beta(lt1) times its initial value in a time T . The time constant of the choke coil is

When a choke coil carrying a steady current is short circuited, the current in it decreases to beta(lt1) times its initial value in a time T . The time constant of the choke coil is

At the time of short-circuit, the current in the circuit: