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MDCAT
Physics
2018

Physics · Electrostatics

Work through this past-paper style MCQ, then read the full explanation. Practice more physics questions on mMCQ with adaptive practice and topic analytics.

Question

Two capacitors C1 (12 F) and C2 (24 F) are connected in series across a 36 V supply. The charge stored on each of them will be:

Options
  • A

    288 C, 288 C

  • B

    4770 C, 4770 C

  • C

    5810 C, 6610 C

  • D

    7170 C, 8140 C

Explanation

In series, charge remains same. This cancels option C and D.

To calculate Total capacitance:

1/C = 1/12 + 1/24 

C=8F

C=Q/V

8 x 36= 288C

Option A is therefore the correct answer.

We know when capacitors are in series ,charge through them is same 

So C and D options are obviously wrong

As voltage given is equivalent Voltage 

So we have to find equivalent capacitance to find charge 

1/Ceq = 1/C1+ 1/ C2

1/Ceq = 1/ 12 + 1/ 24

1/Ceq = 1+2 / 24

Ceq = 24 / 3

      = 8 F 

Now ,

Q= CV

Q=8×36

Q=288C

So A option is right.

This option is incorrect based on calculations.

This is wrong because charge on both capacitors must be same when they are connected in series.

This is wrong because charge on both capacitors must be same when they are connected in series.

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Tagged under Physics · Electrostatics · 2018