Physics-
General
Easy

Question

Figure given below shows two identical parallel plate capacitors connected to a battery with switch Sclosed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant 3. What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectric

  1. 3 : 1    
  2. 5 : 1    
  3. 3 : 5    
  4. 5 : 3    

The correct answer is: 3 : 5


    Initially potential difference across both the capacitor is same hence energy of the system is
    U subscript 1 end subscript equals fraction numerator 1 over denominator 2 end fraction C V to the power of 2 end exponent plus fraction numerator 1 over denominator 2 end fraction C V to the power of 2 end exponent equals C V to the power of 2 end exponent……(i)
    In the second case when key K is opened and dielectric medium is filled between the plates, capacitance of both the capacitors becomes 3C, while potential difference across A is V and potential difference across B is fraction numerator V over denominator 3 end fraction hence energy of the system now is
    U subscript 2 end subscript equals fraction numerator 1 over denominator 2 end fraction left parenthesis 3 C right parenthesis V to the power of 2 end exponent plus fraction numerator 1 over denominator 2 end fraction left parenthesis 3 C right parenthesis open parentheses fraction numerator V over denominator 3 end fraction close parentheses to the power of 2 end exponent equals fraction numerator 10 over denominator 6 end fraction C V to the power of 2 end exponent……(ii)
    So, fraction numerator U subscript 1 end subscript over denominator U subscript 2 end subscript end fraction equals fraction numerator 3 over denominator 5 end fraction

    Related Questions to study

    General
    Physics-

    In the figure below, what is the potential difference between the point A and B and between B and C respectively in steady stat

    In the figure below, what is the potential difference between the point A and B and between B and C respectively in steady stat

    Physics-General
    General
    Physics-

    An infinite number of identical capacitors each of capacitance 1 mu F are connected as in adjoining figure. Then the equivalent capacitance between A and B is

    An infinite number of identical capacitors each of capacitance 1 mu F are connected as in adjoining figure. Then the equivalent capacitance between A and B is

    Physics-General
    General
    Physics-

    Five identical plates each of area A are joined as shown in the figure. The distance between the plates is d. The plates are connected to a potential difference of V   v o l t s. The charge on plates 1 and 4 will be

    Five identical plates each of area A are joined as shown in the figure. The distance between the plates is d. The plates are connected to a potential difference of V   v o l t s. The charge on plates 1 and 4 will be

    Physics-General
    parallel
    General
    Physics-

    A charged particle q is shot towards another charged particle Q which is fixed, with a speed nu. It approaches Q upto a closest distance r and then returns. If q were given a speed 2 nu, the closest distances of approach would be

    A charged particle q is shot towards another charged particle Q which is fixed, with a speed nu. It approaches Q upto a closest distance r and then returns. If q were given a speed 2 nu, the closest distances of approach would be

    Physics-General
    General
    Physics-

    Six charges, three positive and three negative of equal magnitude are to be placed at the vertices of a regular hexagon such that the electric field at O is double the electric field when only one positive charge of same magnitude is placed at R. Which of the following arrangements of charges is possible for P, Q, R, S, T and U respectively

    Six charges, three positive and three negative of equal magnitude are to be placed at the vertices of a regular hexagon such that the electric field at O is double the electric field when only one positive charge of same magnitude is placed at R. Which of the following arrangements of charges is possible for P, Q, R, S, T and U respectively

    Physics-General
    General
    Physics-

    Three charges negative q subscript 1 end subscript comma plus q subscript 2 end subscript and negative q subscript 3 end subscript are placed as shown in the figure. The x-component of the force on negative q subscript 1 end subscript is proportional to

    Three charges negative q subscript 1 end subscript comma plus q subscript 2 end subscript and negative q subscript 3 end subscript are placed as shown in the figure. The x-component of the force on negative q subscript 1 end subscript is proportional to

    Physics-General
    parallel
    General
    Physics-

    A small sphere carrying a charge ‘q’ is hanging in between two parallel plates by a string of length L. Time period of pendulum is T subscript 0 end subscript. When parallel plates are charged, the time period changes to T. The ratio T divided by T subscript 0 end subscript is equal to

    A small sphere carrying a charge ‘q’ is hanging in between two parallel plates by a string of length L. Time period of pendulum is T subscript 0 end subscript. When parallel plates are charged, the time period changes to T. The ratio T divided by T subscript 0 end subscript is equal to

    Physics-General
    General
    Physics-

    Consider two points 1 and 2 in a region outside a charged sphere. Two points are not very far away from the sphere. If E and V represent the electric field vector and the electric potential, which of the following is not possible

    Consider two points 1 and 2 in a region outside a charged sphere. Two points are not very far away from the sphere. If E and V represent the electric field vector and the electric potential, which of the following is not possible

    Physics-General
    General
    Physics-

    In the given figure two tiny conducting balls of identical mass m and identical charge q hang from non-conducting threads of equal length L. Assume that theta is so small that tan invisible function application theta almost equal to sin invisible function application theta, then for equilibrium x is equal to

    In the given figure two tiny conducting balls of identical mass m and identical charge q hang from non-conducting threads of equal length L. Assume that theta is so small that tan invisible function application theta almost equal to sin invisible function application theta, then for equilibrium x is equal to

    Physics-General
    parallel
    General
    Physics-

    An ellipsoidal cavity is carved within a perfect conductor. A positive charge q is placed at the centre of the cavity. The points A and B are on the cavity surface as shown in the figure. Then

    An ellipsoidal cavity is carved within a perfect conductor. A positive charge q is placed at the centre of the cavity. The points A and B are on the cavity surface as shown in the figure. Then

    Physics-General
    General
    Physics-

    A positively charged ball hangs from a silk thread. We put a positive test charge q subscript 0 end subscriptat a point and measure F divided by q subscript 0 end subscript, then it can be predicted that the electric field strength E

    A positively charged ball hangs from a silk thread. We put a positive test charge q subscript 0 end subscriptat a point and measure F divided by q subscript 0 end subscript, then it can be predicted that the electric field strength E

    Physics-General
    General
    Physics-

    Four identical capacitors are connected as shown in diagram. When a battery of 6 V is connected between A and B, the charge stored is found to be 1.5 mu C. The value of C subscript 1 end subscript is

    Four identical capacitors are connected as shown in diagram. When a battery of 6 V is connected between A and B, the charge stored is found to be 1.5 mu C. The value of C subscript 1 end subscript is

    Physics-General
    parallel
    General
    Physics-

    Effective capacitance between A and B in the figure shown is (all capacitance are in mu F)

    Effective capacitance between A and B in the figure shown is (all capacitance are in mu F)

    Physics-General
    General
    Physics-

    Three plates of common surface area A are connected as shown. The effective capacitance will be

    Three plates of common surface area A are connected as shown. The effective capacitance will be

    Physics-General
    General
    Physics-

    The charge on 4 mF capacitor in the given circuit is .... in mu C

    The charge on 4 mF capacitor in the given circuit is .... in mu C

    Physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.