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Capacitor question

2003 · Q172
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Capacitor question

2003 · Q172

NEETPhysicsCapacitorMCQ+4 / −1
Three capacitors each of capacity 4 μ\muμF are to be connected in such a way that the effective capacitance is 6μF.6\mu F.6μF. This can be done by
  1. A
    connecting all of them in series
  2. B
    connecting them in parallel
  3. C
    connecting two in series and one in parallel
  4. D
    connecting two in parallel and one in series
View written solutionFree

Correct answer: C

AIPMT 2003 Physics - Capacitor Question 21 English Explanation

For series,
C′=C1×C2C1+C2=4×44+4=2μFC' = {{{C_1} \times {C_2}} \over {{C_1} + {C_2}}} = {{4 \times 4} \over {4 + 4}} = 2\mu FC′=C1​+C2​C1​×C2​​=4+44×4​=2μF

For parallel
Ceq=C′+C3=2+4=6μF{C_{eq}} = C' + {C_3} = 2 + 4 = 6\mu FCeq​=C′+C3​=2+4=6μF

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