Class 10 Exam > Class 10 Questions > Two register of resistance of 1000ohms and 20...
Start Learning for Free
Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor?
Most Upvoted Answer
Two register of resistance of 1000ohms and 2000ohms are connected para...
Equivalent Resistance Calculation:
- The formula for calculating the equivalent resistance of resistors in parallel is given by:
\[
\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}
\]
- Substituting the given values, we get:
\[
\frac{1}{R_{eq}} = \frac{1}{1000} + \frac{1}{2000} = \frac{3}{2000}
\]
\[
R_{eq} = \frac{2000}{3} = 666.67 \Omega
\]
Total Current Calculation:
- The total current flowing in the circuit is given by Ohm's Law:
\[
I = \frac{V}{R_{eq}} = \frac{100}{666.67} = 0.15 A
\]
Current in Each Resistor:
- The current flowing through each resistor can be calculated using Ohm's Law:
\[
I_1 = \frac{V}{R_1} = \frac{100}{1000} = 0.1 A
\]
\[
I_2 = \frac{V}{R_2} = \frac{100}{2000} = 0.05 A
\]
Explanation:
- When resistors are connected in parallel, the equivalent resistance is always less than the smallest individual resistor.
- The total current in a parallel circuit is divided among the resistors based on their individual resistances.
- In this case, the current flowing through the 1000-ohm resistor is higher than the current flowing through the 2000-ohm resistor due to their different resistances.
- Calculating the equivalent resistance, total current, and current through each resistor helps in analyzing and understanding the behavior of the circuit.
- The formula for calculating the equivalent resistance of resistors in parallel is given by:
\[
\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}
\]
- Substituting the given values, we get:
\[
\frac{1}{R_{eq}} = \frac{1}{1000} + \frac{1}{2000} = \frac{3}{2000}
\]
\[
R_{eq} = \frac{2000}{3} = 666.67 \Omega
\]
Total Current Calculation:
- The total current flowing in the circuit is given by Ohm's Law:
\[
I = \frac{V}{R_{eq}} = \frac{100}{666.67} = 0.15 A
\]
Current in Each Resistor:
- The current flowing through each resistor can be calculated using Ohm's Law:
\[
I_1 = \frac{V}{R_1} = \frac{100}{1000} = 0.1 A
\]
\[
I_2 = \frac{V}{R_2} = \frac{100}{2000} = 0.05 A
\]
Explanation:
- When resistors are connected in parallel, the equivalent resistance is always less than the smallest individual resistor.
- The total current in a parallel circuit is divided among the resistors based on their individual resistances.
- In this case, the current flowing through the 1000-ohm resistor is higher than the current flowing through the 2000-ohm resistor due to their different resistances.
- Calculating the equivalent resistance, total current, and current through each resistor helps in analyzing and understanding the behavior of the circuit.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor?
Question Description
Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor?.
Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor?.
Solutions for Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor? defined & explained in the simplest way possible. Besides giving the explanation of
Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor?, a detailed solution for Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor? has been provided alongside types of Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor? theory, EduRev gives you an
ample number of questions to practice Two register of resistance of 1000ohms and 2000ohms are connected parallel to a battery of EMF 100 volt along with a plug key find the equivalent resistance of the circuit find the total current flowing in the circuit find the current flowing in each resistor? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup