KCET · Physics · Capacitance
For the arrangement of capacitors as shown in the circuit, the effective capacitance between the points \( A \) and \( B \) is (capacitance of each capacitor is \( 4 \mu \mathrm{F} \) )
- A \( 4 \mathrm{~F} \)
- B \( 2 \mu \mathrm{F} \)
- C \( 1 \mu \mathrm{F} \)
- D \( 8 \mu \mathrm{F} \)
Answer & Solution
Correct Answer
(A) \( 4 \mathrm{~F} \)
Step-by-step Solution
Detailed explanation
The given arrangement of capacitors resembles Wheatstone Bridge and can be reduced to the following circuit:
This can be further reduced as shown:
Further reduction gives:
Thus, effective capacitance between points \( A \) and \( B=4 \mu F \)
This can be further reduced as shown:
Further reduction gives:
Thus, effective capacitance between points \( A \) and \( B=4 \mu F \)
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