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Time constant of an inductive circuit-
- a)increases with the increase of inductance and decrease as resistance
- b)increases with the increase of inductance and increase of resistance
- c)increases with the decrease of inductance and decrease of resistance
- d)increases with the decrease of inductance and increase of resistance
Correct answer is option 'A'. Can you explain this answer?
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Time constant of an inductive circuit-a)increases with the increase o...
The time required for the current flowing in the LR series circuit to reach its maximum steady-state value is equivalent to about 5-time constants or 5τ. This time constant τ is measured by τ = L/R, in seconds, where R is the value of the resistor in ohms, and L is the value of the inductor in Henries.
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Hence, the correct option is (A)
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Time constant of an inductive circuit-a)increases with the increase o...
Time Constant of an Inductive Circuit
The time constant of an inductive circuit refers to the time it takes for the current in the circuit to reach approximately 63.2% of its final steady-state value after a voltage is applied. It is denoted by the symbol τ (tau) and is calculated by the formula:
τ = L / R
where L is the inductance of the circuit in Henrys (H) and R is the resistance in ohms (Ω).
Relationship between Time Constant, Inductance, and Resistance
The time constant of an inductive circuit is influenced by both the inductance (L) and the resistance (R) in the circuit. Let's examine the relationship between these variables:
1. Increase in Inductance:
- When the inductance of the circuit increases, the time constant also increases.
- This is because a larger inductance value implies a stronger opposition to changes in current flow, resulting in a longer time for the current to reach its steady-state value.
- Therefore, an increase in inductance leads to a larger time constant.
2. Decrease in Resistance:
- When the resistance in the circuit decreases, the time constant also increases.
- A lower resistance allows the current to flow more easily, reducing the time it takes to reach its steady-state value.
- Consequently, a decrease in resistance results in a smaller time constant.
Summary:
Based on the above explanations, we can conclude that the time constant of an inductive circuit increases with the increase of inductance and decrease in resistance. This is represented by option 'A' in the given choices.
To summarize:
- The time constant (τ) of an inductive circuit is given by τ = L / R.
- The time constant increases with an increase in inductance (L).
- The time constant decreases with a decrease in resistance (R).
- Therefore, the correct answer is option 'A': increases with the increase of inductance and decrease in resistance.
The time constant of an inductive circuit refers to the time it takes for the current in the circuit to reach approximately 63.2% of its final steady-state value after a voltage is applied. It is denoted by the symbol τ (tau) and is calculated by the formula:
τ = L / R
where L is the inductance of the circuit in Henrys (H) and R is the resistance in ohms (Ω).
Relationship between Time Constant, Inductance, and Resistance
The time constant of an inductive circuit is influenced by both the inductance (L) and the resistance (R) in the circuit. Let's examine the relationship between these variables:
1. Increase in Inductance:
- When the inductance of the circuit increases, the time constant also increases.
- This is because a larger inductance value implies a stronger opposition to changes in current flow, resulting in a longer time for the current to reach its steady-state value.
- Therefore, an increase in inductance leads to a larger time constant.
2. Decrease in Resistance:
- When the resistance in the circuit decreases, the time constant also increases.
- A lower resistance allows the current to flow more easily, reducing the time it takes to reach its steady-state value.
- Consequently, a decrease in resistance results in a smaller time constant.
Summary:
Based on the above explanations, we can conclude that the time constant of an inductive circuit increases with the increase of inductance and decrease in resistance. This is represented by option 'A' in the given choices.
To summarize:
- The time constant (τ) of an inductive circuit is given by τ = L / R.
- The time constant increases with an increase in inductance (L).
- The time constant decreases with a decrease in resistance (R).
- Therefore, the correct answer is option 'A': increases with the increase of inductance and decrease in resistance.
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Time constant of an inductive circuit-a)increases with the increase of inductance and decrease as resistanceb)increases with the increase of inductance and increase of resistancec)increases with the decrease of inductance and decrease of resistanced)increases with the decrease of inductance and increase of resistanceCorrect answer is option 'A'. Can you explain this answer?
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