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What happens to the current in the series circuit if the resistance is doubled?
- a)It becomes half its original value
- b)It becomes double its original value
- c)It becomes zero
- d)It becomes infinity
Correct answer is option 'A'. Can you explain this answer?
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What happens to the current in the series circuit if the resistance is...
I=V/R. Hence if R=2R V=I/2R, and I=I/2.
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What happens to the current in the series circuit if the resistance is...
Current is inversely proportional to resistance so resistance increased 2 times means current is decreased 2 times
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What happens to the current in the series circuit if the resistance is...
Effect of doubling resistance on current in a series circuit:
In a series circuit, the current flowing through each component is the same. Therefore, if the resistance in a series circuit is doubled, it will have a significant effect on the current flowing through the circuit.
Explanation:
1. Ohm's Law:
Ohm's Law states that the current flowing through a conductor is directly proportional to the voltage applied across it and inversely proportional to the resistance of the conductor. It can be mathematically expressed as:
I = V/R
where I is the current in amperes (A), V is the voltage in volts (V), and R is the resistance in ohms (Ω).
2. Relationship between current and resistance:
According to Ohm's Law, as the resistance increases, the current decreases, and vice versa. In a series circuit, the total resistance is equal to the sum of the individual resistances. Therefore, if the resistance in a series circuit is doubled, the total resistance will also double.
3. Applying Ohm's Law:
Let's assume the original resistance in the series circuit is R. The current flowing through the circuit can be calculated using Ohm's Law:
I = V/R
If the resistance is doubled, the new resistance becomes 2R. The current flowing through the circuit with the doubled resistance can be calculated as:
I' = V/(2R)
Comparing the two equations, we can observe that the current has halved in the circuit with the doubled resistance. Therefore, the correct answer is option 'A': It becomes half its original value.
Conclusion:
When the resistance in a series circuit is doubled, the current flowing through the circuit becomes half its original value. This can be explained using Ohm's Law, which states that current is inversely proportional to resistance.
In a series circuit, the current flowing through each component is the same. Therefore, if the resistance in a series circuit is doubled, it will have a significant effect on the current flowing through the circuit.
Explanation:
1. Ohm's Law:
Ohm's Law states that the current flowing through a conductor is directly proportional to the voltage applied across it and inversely proportional to the resistance of the conductor. It can be mathematically expressed as:
I = V/R
where I is the current in amperes (A), V is the voltage in volts (V), and R is the resistance in ohms (Ω).
2. Relationship between current and resistance:
According to Ohm's Law, as the resistance increases, the current decreases, and vice versa. In a series circuit, the total resistance is equal to the sum of the individual resistances. Therefore, if the resistance in a series circuit is doubled, the total resistance will also double.
3. Applying Ohm's Law:
Let's assume the original resistance in the series circuit is R. The current flowing through the circuit can be calculated using Ohm's Law:
I = V/R
If the resistance is doubled, the new resistance becomes 2R. The current flowing through the circuit with the doubled resistance can be calculated as:
I' = V/(2R)
Comparing the two equations, we can observe that the current has halved in the circuit with the doubled resistance. Therefore, the correct answer is option 'A': It becomes half its original value.
Conclusion:
When the resistance in a series circuit is doubled, the current flowing through the circuit becomes half its original value. This can be explained using Ohm's Law, which states that current is inversely proportional to resistance.
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What happens to the current in the series circuit if the resistance is doubled?a)It becomes half its original valueb)It becomes double its original valuec)It becomes zerod)It becomes infinityCorrect answer is option 'A'. Can you explain this answer?
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