1. Class 10
  2. Chapter 12 Class 10 - Electricity
  3. Questions from Inside the chapter

Question 3 Page 209

Last updated at Aug. 5, 2019 by

Let the resistance of an electrical component remains constant while the potential difference across the two ends of the component decreases to half of its former value. What change will occur in the current through it?

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  1. Class 10
  2. Chapter 12 Class 10 - Electricity

    3. Questions from Inside the chapter

    Examples from NCERT Book →

Transcript

Case 1 Resistance = R Potential Difference = V Case 2 Resistance = R Potential Difference = 𝑉/2 By Ohm’s law, V = I R 𝑉/𝑅 = I ∴ I = 𝑉/𝑅 Current in Case 1 I1 = 𝑉/𝑅 Current in Case 2 I2 = 𝑉/2 Γ— 1/𝑅 = 𝑉/2𝑅 Now, 𝐼_1/𝐼_2 = (𝑉/𝑅)/(𝑉/2𝑅) 𝐼_1/𝐼_2 = 𝑉/𝑅 Γ— 2𝑅/𝑉 𝐼_1/𝐼_2 = 2 1/2 𝐼_1 = 𝐼_2 𝐼_2 = 1/2 𝐼_1 ∴ When voltage becomes half, current also becomes half.

Class 10
Chapter 12 Class 10 - Electricity

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.