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BITSAT 2021
Exam
BITSAT
Year
2021
Subject
Physics
Chapter
Capacitance

BITSAT 2021 · Physics · Capacitance

In a given network the equivalent capacitance between A and B is C_...

In a given network the equivalent capacitance between AA and BB is C1=C4=1μF,C2=C3=2μFC_{1}=C_{4}=1 \mu F, C_{2}=C_{3}=2 \mu F. In a given network the equivalent capacitance between A and B is C_ 1 =C_ 4 =1 μ F, C_ 2 =C_ 3 =2 μ F .

Options

  1. A3μF3 \mu \mathrm{F}
  2. B6μF6 \mu \mathrm{F}
  3. C4.5μF4.5 \mu \mathrm{F}
  4. D2.5μF2.5 \mu \mathrm{F}

Correct answer

A. 3μF3 \mu \mathrm{F}

Step-by-step solution

The equivalent circuit is shown in figure. In a given network the equivalent capacitance between A and B is C_ 1 =C_ 4 =1 μ F, C_ 2 =C_ 3 =2 μ F .
CAB=1+2×22+2+1CAB=3μF\mathrm{C}_{\mathrm{AB}}=1+\frac{2 \times 2}{2+2}+1\mathrm{C}_{\mathrm{AB}}=3 \mu \mathrm{F}
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