Parallel Circuit Analysis MCQ Questions

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Parallel Circuit analysis MCQ Questions.

Parallel Circuit analysis MCQ#1

Consider the circuit given below and then answer the questions provided below:

Equivalent resistance Example

What is equivalent resistance of circuit:

  1. 2k ohm
  2. 6k ohm
  3. 10k ohm
  4. 15k ohm

Correct answer: 2. 6k ohm

Req = 1/(1/R1 + 1/R2) = 1/(1/10 + 1/15) = 6k ohm

Learn More examples on parallel circuits here

Find current across R1

The current across resistor R1 is:

  1. 1 mA
  2. 2 mA
  3. 5 mA
  4. 10 mA

Correct answer: 2. 2 mA

You can use Ohm’s law: I =V/R = 20/10 kohm = 2 mA

OR alternatively you can use current divider rule

Find current across R2

The current across resistor R2 is:

  1. 1.33 mA
  2. 5 mA
  3. 13.44 mA
  4. 25.8 mA

Correct answer: 1. 1.33 A

Solution: From Ohm’s Law: I = V/R = 20/15k = 1.33 mA

Find total incoming current

What is value of It:

  1. 1.33 mA
  2. 2 mA
  3. 3.33 mA
  4. None of the above

Correct answer: 3. 3.33 mA

Solution: There are two methods that can be used

By directly Using Ohm’s law:

I = V/Req = 20 V/6k = 3.33 A

OR use Ohm’s law to find individual currents (as we did earlier) and then use Kirchoff’s current law to find equivalent resistance.

Find power consumed by R1

What is total power consumed by R1:

  1. 10 mW
  2. 20 mW
  3. 30 mW
  4. 40 mW

Correct answer: 4. 40 mW

Formula:

P = V2/R = (20)2/10k = 400/10k = 40 mW

Find power consumed by R2

What is total power consumed by R2:

  1. 6.66 mW
  2. 16.66 mW
  3. 26.66 mW
  4. 36.66 mW

Correct answer: 3. 26.66 mW

Formula:

P = V2/R = (20)2/15k = 400/15k = 26.66 mW

Find power delivered by Voltage source

Find total power delivered by voltage source:

  1. 35 mW
  2. 60 mW
  3. 66.66 mW
  4. None of the above

Correct answer: 3. 66.66 mW

Total power = Sum of powers dissipated = 40 + 26.66 = 66.66 mW

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