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Science (086) — CBSE Class 10 board question

Q1. [3] § 11.5 FACTORS ON WHICH THE RESISTANCE OF A CONDUCTOR DEPENDS § 11.6 RESISTANCE OF A SYSTEM OF RESISTORS
Answer the following:
  1. (a) State Ohm's Law. Represent it mathematically.
  2. (b) Define 1 ohm.
  3. (c) What is the resistance of a conductor through which a current of 0.5 A flows when a potential difference of 2 V is applied across its ends ?
Previously asked in CBSE board exam
2022 31/2/1 Q11
Generated by claude-sonnet-4-6 · 2026-06-15 06:47 · grounding rag
Model Answer

(a) Ohm's Law: The potential difference (V) across the ends of a conductor is directly proportional to the current (I) flowing through it, provided the temperature remains constant.

Mathematically: $V \propto I$, i.e., $\dfrac{V}{I} = R$ (constant), or $V = IR$

(b) 1 ohm: The resistance of a conductor is said to be 1 ohm if a current of 1 ampere flows through it when a potential difference of 1 volt is applied across its ends.

(c) Given: I = 0.5 A, V = 2 V

$$R = \frac{V}{I} = \frac{2\text{ V}}{0.5\text{ A}} = 4 \text{ Ω}$$

The resistance of the conductor is 4 Ω.

Source: Chapter 11 – Electricity, Sections 11.2 and 11.3

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Explanation
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