📚 CBSE Grade-10 Study Guide
HomeScience (086) (AI practice)

Science (086) — AI-generated practice question

AI-generated practice question — model-generated for extra practice, not a previous-year CBSE board question.

Q1. [1] straightforward thorough-understanding
Three resistors of 6 Ω, 12 Ω, and 4 Ω are connected in parallel across a 12 V battery. (i) Calculate the equivalent resistance of the combination. (ii) What total current does the battery supply? Comment on how the equivalent resistance compares with the smallest individual resistor.
Generated by claude-sonnet-4-6 · 2026-06-26 01:11 · grounding rag
Model Answer

$\frac{1}{R_p} = \frac{1}{6}+\frac{1}{12}+\frac{1}{4} = \frac{2+1+3}{12} = \frac{6}{12}$, so $R_p = 2\ \Omega$; total current $I = 12/2 = 6\ \text{A}$. The equivalent resistance (2 Ω) is less than the smallest resistor (4 Ω), as expected in parallel combination.

Source: Chapter 11, Section 11.6.2

---

Explanation

This is actually a multi-part calculation question compressed into 1 mark, so keep each step brief. Examiners look for: correct parallel formula, correct $R_p = 2\ \Omega$, correct $I = 6\ \text{A}$, and the concluding observation that parallel equivalent resistance is always less than the smallest individual resistor. Show the reciprocal calculation clearly — it's the key formula for parallel circuits.

Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.