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JEE Main 20264 AprilEvening Shift
Exam
JEE Main
Year
2026
Date
4 April
Shift
Evening Shift
Subject
Physics
Chapter
Capacitance

JEE Main 2026 · 4 April · Evening Shift · Physics · Capacitance

From the circuit given below, the capacitance between terminals A...

From the circuit given below, the capacitance between terminals AA and BB shown in the circuit is ______ μ\muF.
(take C1=C2=C3=1C_1=C_2=C_3=1 μ\muF and C4=2C_4=2 μ\muF.)
From the circuit given below, the capacitance between terminals A and B shown in the circuit is ______ μ F. (take

Options

  1. A22
  2. B7/27/2
  3. C7/37/3
  4. D5/25/2

Correct answer

A. 22

Step-by-step solution

Let the nodes in the circuit be labeled to identify the connections:
- Let the input terminal be Node A.
- Let the junction between C1C_1 and C2C_2 be Node X.
- The top wire connects Node A to the junction between C2C_2 and C3C_3. Thus, this junction is also at the potential of Node A.
- The bottom wire connects Node X to the output terminal Node B, with capacitor C4C_4 in this path.

Based on these nodes, the connections of each capacitor are as follows:
- C1C_1 is connected between Node A and Node X.
- C2C_2 is connected between Node X and Node A.
- C3C_3 is connected between Node A and Node B.
- C4C_4 is connected between Node X and Node B.

We can now simplify the circuit step-by-step:
Capacitors C1C_1 and C2C_2 are in parallel between nodes A and X. Their equivalent capacitance is:
C12=C1+C2=1 μF+1 μF=2 μFC_{12} = C_1 + C_2 = 1\,\mu\text{F} + 1\,\mu\text{F} = 2\,\mu\text{F}

This equivalent capacitor C12C_{12} is in series with C4C_4 (which is connected between X and B). The equivalent capacitance of this branch is:
CAXB=C12×C4C12+C4=2×22+2=1 μFC_{AXB} = \dfrac{C_{12} \times C_4}{C_{12} + C_4} = \dfrac{2 \times 2}{2 + 2} = 1\,\mu\text{F}

Finally, this branch is in parallel with C3C_3 (which is connected directly between A and B). The total equivalent capacitance between A and B is:
CAB=CAXB+C3=1 μF+1 μF=2 μFC_{AB} = C_{AXB} + C_3 = 1\,\mu\text{F} + 1\,\mu\text{F} = 2\,\mu\text{F}

Answer: 22
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