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Three resistors 5Ω, 10Ω and 30Ω are connected in parallel with the battery of Voltage 6V? S.no Questions 1 The value of current across each resistor 2 The value of Potential difference across each resistor 3 Total current in the circuit 4 Effective resistance of the circuit?
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Three resistors 5Ω, 10Ω and 30Ω are connected in parallel with the ba...
The value of current across each resistor:
- In a parallel circuit, the voltage across each resistor is the same.
- Using Ohm's Law (V = IR), we can calculate the current across each resistor by dividing the voltage (6V) by the resistance of each resistor.
- Therefore, the current across the 5Ω resistor is 6V/5Ω = 1.2A, across the 10Ω resistor is 6V/10Ω = 0.6A, and across the 30Ω resistor is 6V/30Ω = 0.2A.
The value of Potential difference across each resistor:
- As mentioned earlier, the voltage across each resistor is the same in a parallel circuit.
- Therefore, the potential difference across the 5Ω resistor is 6V, across the 10Ω resistor is 6V, and across the 30Ω resistor is 6V.
Total current in the circuit:
- In a parallel circuit, the total current is the sum of the currents flowing through each individual resistor.
- Therefore, the total current in the circuit is 1.2A + 0.6A + 0.2A = 2A.
Effective resistance of the circuit:
- In a parallel circuit, the reciprocal of the total resistance is equal to the sum of the reciprocals of the individual resistances.
- Therefore, the effective resistance (R) of the circuit can be calculated using the formula: 1/R = 1/5Ω + 1/10Ω + 1/30Ω.
- Simplifying this equation gives us: 1/R = (6/30) + (6/60) + (6/180) = 0.2 + 0.1 + 0.033 = 0.333.
- Taking the reciprocal of both sides, we find: R = 1/0.333 = 3Ω.
- Therefore, the effective resistance of the circuit is 3Ω.
In summary:
1. The value of current across each resistor: 1.2A, 0.6A, and 0.2A.
2. The value of Potential difference across each resistor: 6V, 6V, and 6V.
3. Total current in the circuit: 2A.
4. Effective resistance of the circuit: 3Ω.
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Three resistors 5Ω, 10Ω and 30Ω are connected in parallel with the battery of Voltage 6V? S.no Questions 1 The value of current across each resistor 2 The value of Potential difference across each resistor 3 Total current in the circuit 4 Effective resistance of the circuit?
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Three resistors 5Ω, 10Ω and 30Ω are connected in parallel with the battery of Voltage 6V? S.no Questions 1 The value of current across each resistor 2 The value of Potential difference across each resistor 3 Total current in the circuit 4 Effective resistance of the circuit? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Three resistors 5Ω, 10Ω and 30Ω are connected in parallel with the battery of Voltage 6V? S.no Questions 1 The value of current across each resistor 2 The value of Potential difference across each resistor 3 Total current in the circuit 4 Effective resistance of the circuit? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three resistors 5Ω, 10Ω and 30Ω are connected in parallel with the battery of Voltage 6V? S.no Questions 1 The value of current across each resistor 2 The value of Potential difference across each resistor 3 Total current in the circuit 4 Effective resistance of the circuit?.
Three resistors 5Ω, 10Ω and 30Ω are connected in parallel with the battery of Voltage 6V? S.no Questions 1 The value of current across each resistor 2 The value of Potential difference across each resistor 3 Total current in the circuit 4 Effective resistance of the circuit? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Three resistors 5Ω, 10Ω and 30Ω are connected in parallel with the battery of Voltage 6V? S.no Questions 1 The value of current across each resistor 2 The value of Potential difference across each resistor 3 Total current in the circuit 4 Effective resistance of the circuit? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three resistors 5Ω, 10Ω and 30Ω are connected in parallel with the battery of Voltage 6V? S.no Questions 1 The value of current across each resistor 2 The value of Potential difference across each resistor 3 Total current in the circuit 4 Effective resistance of the circuit?.
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