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Capacitor Test - 2
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Capacitor Test - 2

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  • Question 1/10
    1 / -0

    A finite ladder is constructed by connecting several sections of  capacitor combinations as shown in the figure. It is terminated by a capacitor of capacitance C. What value should be chosen for C, such that the equivalent capacitance of the ladder between the points A and B becomes independent of the number of sections in between

    Solutions

    By using formula  We get 

  • Question 2/10
    1 / -0

    Figure shows two capacitors connected in series and joined to a battery. The graph shows the variation in potential as one moves from left to right on the branch containing the capacitors.

    Solutions

    According to graph we can say that potential difference across the capacitor C1 is more than that across C2. Since charge Q is same i.e., 

  • Question 3/10
    1 / -0

    Two condensers of capacity C and 2C are connected in parallel and these are charged upto V volt. If the battery is removed and dielectric medium of constant K is put between the plates of first condenser, then the potential at each condenser is

    Solutions

  • Question 4/10
    1 / -0

    Condenser A has a capacity of 15 mF when it is filled with a medium of dielectric constant 15. Another condenser B has a capacity 1 mF with air between the plates. Both are charged separately by a battery of 100V. after charging, both are connected in parallel without the battery and the dielectric material being removed. The common potential now is

    Solutions

    Charge on capacitor A is given by 

    Charge on capacitor B is given by 

    Capacity of capacitor A after removing dielectric 

    Now when both capacitors are connected in parallel their equivalent capacitance will be 

  • Question 5/10
    1 / -0

    A capacitor of  is charged upto 500V is connected in parallel with another capacitor of  which is charged upto 200V. The common potential is

    Solutions

  • Question 6/10
    1 / -0

    In the circuit shown 

    Solutions

    Given circuit can be redrawn as follows

                                                                           

      

  • Question 7/10
    1 / -0

    As shown in the figure two identical capacitors are connected to a battery of V volts in parallel. When capacitors are fully charged, their stored energy is u1. If the key K is opened and a material of dielectric constant k = 3 is inserted in each capacitor, their stored energy is now

    Solutions

    Initially potential difference across both the capacitor is same hence energy of the system is 

    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  hence energy of the system now is

  • Question 8/10
    1 / -0

    In the following figure the resultant capacitance between A and B is  The capacitance C is

    Solutions

    Given network can be simplified as follows

  • Question 9/10
    1 / -0

    A  capacitor and a  capacitor are connected in parallel across a 1200 volts line. The charged capacitors are then disconnected from the line and from each other. These two capacitors are now connected to each other in parallel with terminals of unlike signs together. The charges on the capacitors will now be

    Solutions

    Initially charge on capacitors can be calculated as follows

     

  • Question 10/10
    1 / -0

    The two condensers of capacitances  and  are in series. The outer plate of the first condenser is at 1000 volts and the outer plate of the second condenser is earthed. The potential of the inner plate of each condenser is

    Solutions

    Here, potential difference across the combination is

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