Home
Class 12
PHYSICS
In the given circuit the capacitor (C) m...

In the given circuit the capacitor (C) may be charged through resistance R by a battery V by closing switch `(S_1)`. Also when `(S_1)` is opend and `(S_2)` is closed the capacitor is connected in series with inductor (L).

At the start, the capicitor was uncharged. when switch `(S_1)` is closed and `(S_2)` is kept open, the time constant of this circuit is `tau`. which of the following is correct

A

After time interval `tau`, charge on the capacitor is `CV//2`

B

After time interval `2 tau`, charge on the capacitor of `CV(1 - e^(-2)]`

C

The work done by the voltage source will be half of the heat disspated when the capacitor is fully charged

D

After time interval `2 tau`, charge on the capacitor is `CV(1 - e^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
B
Charge on capacitor at time `t` is
`q = q_(0) (1 - e^(-t//tau))`
Here, `q_(0) = CV` and `t = 2 tau`
`q = CV(1 - e^(-2tau//tau)) = CV (1 - e^(-2))`
Promotional Banner

Topper's Solved these Questions

  • INDUCTANCE

    CENGAGE PHYSICS ENGLISH|Exercise Archives (integer)|2 Videos

  • INDUCTANCE

    CENGAGE PHYSICS ENGLISH|Exercise Subective Type|2 Videos

  • INDUCTANCE

    CENGAGE PHYSICS ENGLISH|Exercise Archives (multiple Correct)|3 Videos

  • HEATING EFFECT OF CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Thermal Power in Resistance Connected in Circuit|27 Videos

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct Answer type|2 Videos

Similar Questions

Explore conceptually related problems

In the given circuit the capacitor (C) may be charged through resistance R by a battery V by closing switch (S_1) . Also when (S_1) is opend and (S_2) is closed the capacitor is connected in series with inductor (L). When the capacitor gets charged compleely, (= (S_1) is opened and (S_2) is closed, Then,

In the given circuit the capacitor (C) may be charged through resistance R by a battery V by closing switch (S_1) . Also when (S_1) is opend and (S_2) is closed the capacitor is connected in series with inductor (L). Given taht the total charge stored in the LC circuit is (Q_0) . for Tge0, the charge on the capacitor is

In the given circuit the capacitor (C) may be charged through resistance R by a battery V by closing switch (S_1) . Also when (S_1) is opend and (S_2) is closed the capacitor is connected in series with inductor (L). Given taht the total charge stored in the LC circuit is (Q_0) . for Tge0 the charge on the capacitor is

In the given circuit the capacitor (C) may be charged through resistance R by a battery V by closing switch (S_1) . Also when (S_1) is opend and (S_2) is closed the capacitor is connected in series with inductor (L). Given taht the total charge stored in the LC circuit is (Q_0) . for Tge0, the charge on the capacitor is

The capacitor of capacitance C can be charged (with the help of a resistance R ) by a voltage source V, by closing switch S_(1) while keeping switch S_(2) open. The capacitor can be connected in series with an inductor 'L' by closing switch S_(2) and opening S_(1) . Initially, the capacitor was uncharged. Now , switch S_(1) is closed and S_(2) is kept open. if time constant of this circuit is tau , then

The capacitor of capacitance C can be charged (with the help of a resistance R ) by a voltage source V , by closing switch S_(1) while keeping switch S_(2) open.The capacitor can be connected in series with an series with an inductor L by closing switch S_(2) and opening S_(1) . Initially the capacitor was uncharged.Now switch S_(1) is closed and S_(2) is kept open.If time constant of this circuit is t , then

The capacitor for capacitance C can be charged ( with the help of a resistance R) by a voltage source V, by closing switch S_(1) while keeping switch S_(2) open. The capacitor can be connected in series with an inductor 'L' by closing switch S_(2) and opening S_(1) . After the capacitor gets fully charged S_(1) is opened and S_(2) is closed so that the inductor is connected in series with the capacitor. Then,

In the circuit shown, all the capacitors are initially uncharged. The current through the battery just after closing the switch 'S' is

In the circuit shown in fig, if the switch S is closed at t = 0 , the capacitor charges with a time constant

Two capacitors A and B are connected in series with a battery as shown in the figure. When the switch S is closed and the two capacitors get charged fully, then