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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?
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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.
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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?
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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?.
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