Home Physics Electrostatics Potential & Capacitance Capacitance Nine identical capacitors, each of capacitan…
Physics Electrostatics Potential & Capacitance Capacitance Subjective Type
Published on: September 12, 2026

Nine identical capacitors, each of capacitance C = 15 µF are connected as shown in Fig. Calculate equivalent capacitance between terminals 1 and 4.

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
B
To find the equivalent capacitance between terminals 1 and 4 in the given configuration, we begin by analyzing the arrangement of capacitors.

1. **Identify the Connections:** There are three branches connected in parallel between terminals 1 and 4. Each branch consists of two capacitors in series.

2. **Calculate Capacitance of Series Capacitors:** For two capacitors in series, the equivalent capacitance (C_s) is given by:
$$ C_s = \frac{C \cdot C}{C + C} = \frac{C}{2} $$
where C = 15 µF (given).
So,
$$ C_s = \frac{15 \mu F}{2} = 7.5 \mu F $$
Each branch has a capacitance of 7.5 µF.

3. **Calculate Equivalent Capacitance of Parallel Capacitors:** Since there are three such branches in parallel, the total equivalent capacitance (C_eq) is given by:
$$ C_{eq} = C_s + C_s + C_s = 3 C_s = 3 \times 7.5 \mu F = 22.5 \mu F $$

4. **Final Calculation:** Therefore, the equivalent capacitance between terminals 1 and 4 is 22.5 µF.

Thus, the equivalent capacitance is **B) 22.5 µF**.

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.