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If resistance is and inductance is 2H in an RL series circuit, the time constant of this circuit will be-
- a)100s
- b)0.001s
- c)0.1s
- d)10s
Correct answer is option 'C'. Can you explain this answer?
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If resistance is and inductance is 2H in an RL series circuit, the ...
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If resistance is and inductance is 2H in an RL series circuit, the ...
The time constant of an RL series circuit can be calculated using the formula:
τ = L/R
where τ is the time constant, L is the inductance, and R is the resistance.
Given that the resistance is and the inductance is 2H, we can substitute these values into the formula to find the time constant.
τ = 2H/ = 1H/
To simplify the expression, we can convert the resistance from kilohms to ohms:
= 1000Ω
Now we can substitute this value into the formula:
τ = 1H/1000Ω
Simplifying further:
τ = 0.001s
So the time constant of the RL series circuit is 0.001 seconds.
Explanation:
- Resistance and Inductance: The question provides the resistance and inductance values for an RL series circuit.
- Time Constant Formula: The time constant of an RL series circuit is given by the formula τ = L/R, where τ is the time constant, L is the inductance, and R is the resistance.
- Substituting Values: We substitute the given resistance and inductance values into the time constant formula. However, the resistance is given in kilohms, so we convert it to ohms by multiplying it by 1000.
- Simplification: We simplify the expression by dividing the inductance value by the resistance value.
- Final Answer: After simplification, we find that the time constant of the RL series circuit is 0.001 seconds.
τ = L/R
where τ is the time constant, L is the inductance, and R is the resistance.
Given that the resistance is and the inductance is 2H, we can substitute these values into the formula to find the time constant.
τ = 2H/ = 1H/
To simplify the expression, we can convert the resistance from kilohms to ohms:
= 1000Ω
Now we can substitute this value into the formula:
τ = 1H/1000Ω
Simplifying further:
τ = 0.001s
So the time constant of the RL series circuit is 0.001 seconds.
Explanation:
- Resistance and Inductance: The question provides the resistance and inductance values for an RL series circuit.
- Time Constant Formula: The time constant of an RL series circuit is given by the formula τ = L/R, where τ is the time constant, L is the inductance, and R is the resistance.
- Substituting Values: We substitute the given resistance and inductance values into the time constant formula. However, the resistance is given in kilohms, so we convert it to ohms by multiplying it by 1000.
- Simplification: We simplify the expression by dividing the inductance value by the resistance value.
- Final Answer: After simplification, we find that the time constant of the RL series circuit is 0.001 seconds.
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If resistance is and inductance is 2H in an RL series circuit, the time constant of this circuit will be-a)100sb)0.001sc)0.1sd)10sCorrect answer is option 'C'. Can you explain this answer?
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