Question 394 marksSection E

Study the following circuit : On the basis of this circuit, answer the following questions : (a) Find the value of total resistance between the points A and B. (b) Find the resistance between the points B and C. (c) (i) Calculate the current drawn from the battery, when the key is closed. OR (c) (ii) In the above circuit, the 16Ω16\Omega resistor or the parallel combination of two resistors of 8Ω8\Omega, which one of the two will have more potential difference across its two ends? Justify your answer.

Figure for question 39
Electricity
Electric Circuits

Official answer

The value of total resistance between the points A and B is 4 ohms. The resistance between the points B and C is 8 ohms. The current drawn from the battery, when the key is closed, is 1 ampere. The 16 ohm resistor will have more potential difference across its two ends.

Answer keywords:resistancecurrentpotential differenceOhm's law

Marking scheme

  1. 1.The value of total resistance between the points A and B is 4 ohms.
  2. 2.The resistance between the points B and C is 8 ohms.
  3. 3.The current drawn from the battery, when the key is closed, is 1 ampere.
  4. 4.The 16 ohm resistor will have more potential difference across its two ends.

Hint

Use Ohm's law to find the current drawn from the battery, and then use the formula for equivalent resistance to find the resistance between the points B and C.

Quick oral answer

The value of total resistance between the points A and B is 4 ohms. The resistance between the points B and C is 8 ohms. The current drawn from the battery, when the key is closed, is 1 ampere. The 16 ohm resistor will have more potential difference across its two ends.

Common mistakes

  1. 1.Calculating the equivalent resistance of the two resistors in series incorrectly.
  2. 2.Not using Ohm's law to find the current drawn from the battery.
  3. 3.Not calculating the potential difference across the 16 ohm resistor correctly.

Analysis and explanation

The circuit consists of two resistors in series, with a total resistance of 4 ohms. The potential difference across the battery is 6 volts, and the current drawn from the battery is 1 ampere. The resistance between the points B and C is 8 ohms. The potential difference across the 16 ohm resistor is 16 volts, which is the same as the potential difference across the parallel combination of the two 8 ohm resistors.

Interesting facts

The circuit consists of two resistors in series, with a total resistance of 4 ohms.

The potential difference across the battery is 6 volts, and the current drawn from the battery is 1 ampere.

The resistance between the points B and C is 8 ohms.

Question details

Q39 of 39 questions

Board
CBSE
Class
Class 10
Subject
Science
Year
2024
Section
Section E
Marks
4
Chapter
Electricity
Topic
Electric Circuits
Bloom's level
Application
Syllabus topic
Electric Circuits

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Frequently asked questions

How many marks does this question carry in CBSE Class 10 Science 2024?

This question carries 4 marks in the CBSE Class 10 Science 2024 examination.

Which chapter does this question come from in Science?

This question is from the chapter "Electricity" in the CBSE Class 10 Science syllabus.

What topic does this question cover in Science?

This question covers the topic "Electric Circuits" from CBSE Class 10 Science.

What type of question is this in the CBSE Class 10 Science 2024 paper?

This question appears in Section E in the CBSE Class 10 Science 2024 paper.