(a) State Ohm's law. Write formula for the equivalent resistance $R_p$ of the parallel combination of three resistors of values $R_1$ , $R_2$ and $R_3$ . (b) Find the resistance of the following network of resistors:

Chemical Reactions and Equations

Official Answer

Ohm's law states that the current flowing through a conductor is directly proportional to the potential difference across it, provided the temperature remains constant. The formula for the equivalent resistance $R_p$ of the parallel combination of three resistors of values $R_1$ , $R_2$ and $R_3$ is given by: $rac{1}{R_p} = rac{1}{R_1} + rac{1}{R_2} + rac{1}{R_3}$

Ohm's lawEquivalent resistanceParallel combination of resistorsTotal resistance

Marking Scheme

1Ohm's law
2Formula for equivalent resistance of parallel combination of resistors
3Calculation of equivalent resistance
4Application of Ohm's law to find total resistance

Hint

Use Ohm's law and the formula for the equivalent resistance of a parallel combination of resistors to find the total resistance of the network.

Quick Oral Answer

Ohm's law states that the current flowing through a conductor is directly proportional to the potential difference across it, provided the temperature remains constant. The formula for the equivalent resistance of a parallel combination of resistors is given by: $rac{1}{R_p} = rac{1}{R_1} + rac{1}{R_2} + rac{1}{R_3}$ . To find the total resistance of the network, we need to apply Ohm's law and the formula for the equivalent resistance of a parallel combination of resistors.

Analysis & Explanation

This question requires the application of Ohm's law and the formula for the equivalent resistance of a parallel combination of resistors. The student needs to identify the resistors in the network and their values, and then use the formula to calculate the equivalent resistance. Finally, the student needs to use Ohm's law to find the total resistance of the network.

Common Mistakes

1Not identifying the resistors in the network
2Not using the correct formula for the equivalent resistance
3Not applying Ohm's law correctly

Interesting Facts

Ohm's law is a fundamental principle in electricity

The formula for the equivalent resistance of a parallel combination of resistors is useful in many electrical circuits

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Frequently Asked Questions

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

This question carries 3 marks in the CBSE Class 10 Science 2024 examination.

Which chapter does this question come from in Science?

This question is from the chapter "Chemical Reactions and Equations" in the CBSE Class 10 Science syllabus.

What topic does this question cover in Science?

This question covers the topic "Chemical Reactions and Equations" from CBSE Class 10 Science.

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

This is a Short Answer question from Section C in the CBSE Class 10 Science 2024 paper.