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Home / IB / Physics: HL / DP / Topic Questions / 11. Electromagnetic Induction (HL only) / 11.3 Capacitance / Multiple Choice


11.3 Capacitance

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Question 1

Marks: 1

A fully charged capacitor of capacitance C = 1.00 μF is connected in parallel with a resistor with a resistance of R = 2.00 MΩ. The potential difference used to charge the capacitor is then removed. Initial current is denoted as I0 .

What length of time does it take for the current to decrease from fraction numerator 7 I subscript 0 over denominator 15 end fraction to I subscript 0 over 15?

  • ln open parentheses 8 over 15 close parentheses s

  • ln open parentheses 49 close parentheses s

  • ln open parentheses 14 close parentheses s

  • ln open parentheses 1 over 14 close parentheses s

Choose your answer
  

Question 2

Marks: 1

The diagram shows a diode bridge rectification circuit and a load resistor.

 

11-3-ib-hl-mcq-q2_1

 

The input is a sinusoidal signal. Which of the following circuits will produce the smoothest output signal?

 

11-3-ib-hl-mcq-q2_

    Choose your answer
      
    Key Concepts
    Capacitors in Series & Parallel

    Question 3

    Marks: 1

    Three capacitors, each one with a capacitance C, are connected such that their combined capacitance is 1.5C. How are they connected?

    11-3-ib-hl-mcq-q3

      Choose your answer
        
      Key Concepts
      Capacitors in Series & Parallel

      Question 4

      Marks: 1

      A variable capacitor is being charged, but the dial is accidentally knocked partway through the charging process. 

      What is the energy stored in this capacitor by the time the accumulated charge reaches 2.0 μC?

       

      11-3-ib-hl-mcq-q3_1

      • 4.25 × 10-3 J

      • 2.75 × 10-3 J

      • 2.75 J

      • 4.25 J

      Choose your answer
        
      Key Concepts
      Energy Stored in a Capacitor

      Question 5

      Marks: 1

      A capacitor with capacitance C discharges through a resistor of resistance R. The graph shows the variation with time t of the voltage V across the capacitor. 

      graph-1

      The capacitor is now changed to one with a capacitance of 2C and the resistor is changed to one with a value of 2R. Which graph shows the variation of V with t when the new configuration is discharged. 

       

      graphs-2

        Choose your answer
          
        Key Concepts
        The Time Constant

        Question 6

        Marks: 1

        Which of the following can be used as a unit for capacitance? 

        • A2 s2 kg m–2

        • A2 s4 kg-1 m–2

        • A2 kg m

        • A2 s2 kg-1 m

        Choose your answer
          
        Key Concepts
        Capacitance

        Question 7

        Marks: 1

        A parallel–plate capacitor has square plates of length L separated by a distance 3L and is filled with air as its dielectric.

        A second capacitor has square plates of length 3L separated by distance 6L and is filled with a different dielectric.

        Both capacitors have the same capacitance.

        What is the relative permittivity of the dielectric in the second capacitor?

        • 9 over 2

        • 2 over 9

        • 3 over 2

        • 2 over 3

        Choose your answer
          
        Key Concepts
        Dielectric Materials
        Capacitance

        Question 8

        Marks: 1

        A capacitor of capacitance C stores an amount of energy E when the pd across it is V. 

        Which line, A to D, in the table gives the correct stored energy and pd when the charge is decreased by 60%?

          Energy Potential difference
        A. 0.40 0.60
        B. 0.16 0.60
        C. 0.40 0.40
        D. 0.16 0.40
          Choose your answer
            
          Key Concepts
          Energy Stored in a Capacitor

          Question 9

          Marks: 1

          An uncharged 200 nF capacitor is connected to a power supply and becomes fully charged. The potential difference across the capacitor is equal to 9.0 V and the load resistor has a resistance of 2.0 kΩ.

          A switch is flipped and a highly precise digital data logger begins recording information about the capacitor at the exact moment that the capacitor begins discharging. 

          Approximately how many additional electrons are left on the negative plate after 0.60 ms have passed?

          The following table of logarithm approximations may help you answer this question. 

           

          x ln(x) to two decimal places
          1.0 0.00
          1.5 0.41
          2.0 0.69
          2.5 0.92
          3.0 1.10
          3.5 1.25
          4.0 1.39
          4.5 1.50
          5.0 1.61
          5.5 1.70
          6.0 1.79

          • 1.5 × 1010 electrons

          • 5.2 × 1012 electrons

          • 2.5 × 1012 electrons

          • 1.5 × 1013 electrons

          Choose your answer
            
          Key Concepts
          Discharge Calculations

          Question 10

          Marks: 1

          Switch S in the circuit is held in position 1, so that the capacitor C becomes fully charged to a potential difference V and stores energy E.

           

          _dqPSs2J_unnamed

          The switch is then moved quickly to position 2, allowing C to discharge through the fixed resistor R. It takes 55 ms for the pd across C to fall to V over 2.


          What period of time must elapse, after the switch has moved to position 2, before C has lost fraction numerator 255 E over denominator 256 end fraction?

          • 165 ms

          • 110 ms

          • 82.5 ms

          • 220 ms

          Choose your answer
            
          Key Concepts
          Energy Stored in a Capacitor


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