If C = 10 F, what is the equivalent capacitance for the combination shown?

If C = 10 F, what is the equivalent capacitance for the combination shown?
 
   

   
  a.
  7.5 F
   
  b.
  6.5 F
   
  c.
  7.0 F
   
  d.
  5.8 F
   
  e.
  13 F

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[Ques. 2]

Determine the equivalent capacitance of the combination shown when C = 45 F.
 
   

   
  a.
  36 F
   
  b.
  32 F
   
  c.
  34 F
   
  d.
  30 F
   
  e.
  38 F

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[Ques. 3]

Determine the equivalent capacitance of the combination shown when C = 12 nF.
   
   

   
  a.
  34 nF
   
  b.
  17 nF
   
  c.
  51 nF
   
  d.
  68 nF
   
  e.
  21 nF

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[Ques. 4]

Determine the equivalent capacitance of the combination shown when C = 15 mF.
 
   

   
  a.
  20 mF
   
  b.
  16 mF
   
  c.
  12 mF
   
  d.
  24 mF
   
  e.
  75 mF

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[Ques. 5]

Determine the equivalent capacitance of the combination shown when C = 12 pF.
 
   

   
  a.
  48 pF
   
  b.
  12 pF
   
  c.
  24 pF
   
  d.
  6.0 pF
   
  e.
  59 pF

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[Ques. 6]

A parallel circuit consists of a 100 V DC power source, a 100  resistor, and a variable resistor of resistance R, which varies from 0 to 100 . The current in the circuit is
 
   

   
  a.
  directly proportional to R.
   
  b.
  inversely proportional to R.
   
  c.
  directly proportional to (100  + R).
   
  d.
  inversely proportional to (100  + R).
   
  e.
  neither directly nor inversely proportional to R or to (100  + R).

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[Ques. 7]

A series circuit consists of a 100 V DC power source, a 100  resistor, and a variable resistor of resistance R, which varies from 0 to 100 . The current in the circuit is
 
   

   
  a.
  directly proportional to R.
   
  b.
  inversely proportional to R.
   
  c.
  directly proportional to (100  + R).
   
  d.
  inversely proportional to (100  + R).
   
  e.
  neither directly nor inversely proportional to R or to (100  + R).

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[Ques. 8]

The circuit below shows three resistors in series. R₃ > R₂ > R₁. The resistors are all made of the same wire with the same diameter but have different lengths. Rank the magnitudes of the electric fields in the resistors from least to greatest.
 
   

   
  a.
  E₃ < E₂ < E₁.
   
  b.
  E₂ < E₁ = E₃.
   
  c.
  E₁ = E₂ = E₃.
   
  d.
  E₁ = E₃ < E₂.
   
  e.
  E₁ < E₂ < E₃.

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[Ques. 9]

The circuit below shows three resistors in parallel. R₃ > R₂ > R₁. The resistors are all made of the same wire with the same diameter but have different lengths. Rank the magnitudes of the electric fields in the resistors from least to greatest.
 
   

   
  a.
  E₃ < E₂ < E₁.
   
  b.
  E₂ < E₁ = E₃.
   
  c.
  E₁ = E₂ = E₃.
   
  d.
  E₁ = E₃ < E₂.
   
  e.
  E₁ < E₂ < E₃.

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[Ques. 10]

A circuit consists of N resistors, all of resistance R, connected as shown below. A potential difference V is applied to the circuit. The equivalent resistance of the circuit is
 
   

   
  a.
  .
   
  b.
  .
   
  c.
  R.
   
  d.
  NR.
   
  e.
  2NR.