Home
Class 12
PHYSICS
In the circuit shown below , the switch ...

In the circuit shown below , the switch is kept in position a for a long time and is then thrown to position b. The amplitude of the resulting oscillating current is given by

A

`Esqrt(L//C)`

B

`E//R`

C

infinity

D

`Esqrt(C//L)`

Text Solution

Verified by Experts

The correct Answer is:
D
If the switch is kept in position a for a long time , the charge accumulated on the capacitor plates=EC.
When the switch is thrown is position b, it behaves as a source of emf due to the accumulated charges.
Electromotive force=`(EC)/C=E`
As a result , the LC circuit changes to an oscillating circuit, whose angular frequency, `omega=1/sqrt(LC)` .
`therefore` Maximum current through the circuit
`=E/(omegaL)=E/(1/sqrt(LC))=E.sqrt(C/L)`
or, `E/(1//omegaC)=EomegaC=E1/sqrt(LC)C=Esqrt(C/L)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (JEE Main)|5 Videos

  • ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (AIPMT)|2 Videos

  • ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (WBCHSE)|20 Videos

  • CHHAYA PUBLICATION|Exercise EXAMPLE|1 Videos

  • ATOM

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|18 Videos

Similar Questions

Explore conceptually related problems

In the circuit shown in figure switch s is closed at time t = 0. Find the current through different wires and charge stored on the capacitor at any time t.

What is the current I shown in the given circuit ?

Knowledge Check

  • An inductor (L=0.03H) and a resistor (R=0.15k Omega ) are connected in series to a battery of 15 V emf in a circuit shown below. The key K_1 has been kept closed for a long time. Then at t=0 , K_1 is opened and key K_2 is closed simulatenously. At t=1 ms, the current in the circuit will be (e^5cong150)

    A
    100 mA
    B
    67 mA
    C
    6.7mA
    D
    0.67 mA

  • An inductor (L=0.03H) and a resistor (R= 0.15 Omega )are connected in series to a battery of 15VEMF in a circuit shown the key k_1 has been kept closed for a long time then at t=0 k_1 is opened and key k_2 is closed simultaneously ata t=1 ms the current in the circuit will be (e^5 cong150)

    A
    67mA
    B
    6.7mA
    C
    0.67mA
    D
    100mA

  • In the meter bridge circuit shown, the null point is obtained at C (AC = x) on the wire AB. If the diameter of the wire AB is doubled, the position of the new null point C' will correspond to

    A
    `AC'=x//2`
    B
    `AC'=x//4`
    C
    AC'= 4x
    D
    AC' =x

    • Similar Questions

    Explore conceptually related problems

    In Exercise 14.9, let us take the position of mass when the spring is unstreched as x = 0, and the direction from left to right as the positive direction of x-axis. Give x as a function of time t for the oscillating mass if at the moment we start the stopwatch (t = 0), the mass is (a) at the mean position, (b) at the maximum stretched position, and (c) at the maximum compressed position. In what way do these functions for SHM differ from each other, in frequency, in amplitude or the initial phase?

    The two coils A and B are same as in the picture given below . The coil A is made to rotate about a vertical axis. No current flows in B if A is at rest. The current in coil A, when the current in B (at t = 0) is counterclockwise and the coil A is as shown at this instant t = 0, is

    Identify the molecules A and B shown below and select the right option given their source and use

    In a plane electromagnetic wave, the electric field (E) having amplitude of 48 . V m^(-1) oscillates at a frequency of 2.0 xx 10^10 Hz. The amplitude of the oscillating magnetic field (B) is

    A capacitor of 2muF is charged as shown in the diagram. When the switch S is turned to position 2, the percentage of its stored energy dissipated is :

    Home
    Profile