Find (a) equivalent time constant, (b) charge on capacitor in terms of time t.

In the circuit shown in the figure, switch S is closed at time t = 0 . (a) Write current in the circuit and charge on capacitor as a function of time. Draw the graphical plot for the same. (b) Find maximum charge on the capacitor. What is potential difference across the inductor when charge on the capacitor is maximum?

" Time constant of charging of capacitor is equal to "(30.8)/(N)C" .Find "N

A capacitor of capacity 1muF is connected in a closed series circuit with a resistance or 10^(7) ohms, an open key and a cell of 2 V with negligible internal resistance : (i) When the key is switched on at time t=0, find, (a) The time constant for the circuit. (b) The charge on the capacitor at steady state. (c) Time taken to deposit charge equal to half of charge that will deposit at steady state. (ii) If after completely charging the capacitor, the cell is shorted by zero resistance at time t=0, find the charge on the capacitor at t=50 s. (Given : e^(-5)=6.73xx10^(-3), ln^(2)=0.693 )

A capacitor of capacity 1muF is connected in a closed series circuit with a resistance or 10^(7) ohms, an open key and a cell of 2 V with negligible internal resistance : (i) When the key is switched on at time t=0, find, (a) The time constant for the circuit. (b) The charge on the capacitor at steady state. (c) Time taken to deposit charge equal to half of charge that will deposit at steady state. (ii) If after completely charging the capacitor, the cell is shorted by zero resistance at time t=0, find the charge on the capacitor at t=50 s. (Given : e^(-5)=6.73xx10^(-3), ln^(2)=0.693 )

(a) The amount of charge passed in time t through a cross-section of wire is q = alpha t - beta t^2 where alpha and beta are constant. (i) Find current in terms of time t . (ii) Sketch i versus t graph. (b) The current through a wire depends on time as i = 4 + 3t + 2t^2 Find the charge crossed through a section of wire in 6 sec .

(a) The amount of charge passed in time t through a cross-section of wire is q = alpha t - beta t^2 where alpha and beta are constant. (i) Find current in terms of time t . (ii) Sketch i versus t graph. (b) The current through a wire depends on time as i = 4 + 3t + 2t^2 Find the charge crossed through a section of wire in 6 sec .

In the circuit shown in Figure, the battery is an ideal one, with emf V. The capacitor is initially uncharged. The switch S is closed at time t = 0 . (a) Find the charge Q on the capacitor at time t. (b) Find the current in AB at time t. What is its liniting value as t rarr oo : .

In the circuit shown in Figure, the battery is an ideal one, with emf V. The capacitor is initially uncharged. The switch S is closed at time t = 0 . (a) Find the charge Q on the capacitor at time t. (b) Find the current in AB at time t. What is its liniting value as t rarr oo : .

Without using the formula of equivalent. Find out charge on capacitor and current in all the branches as a function of time.

Without using the formula of equivalent. Find out charge on capacitor and current in all the branches as a function of time.