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Calculate the power in an inductive circuit if the inductance is 10H, the current flowing in the inductor is 2A in 4s.
- a)50W
- b)4W
- c)5W
- d)10W
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Calculate the power in an inductive circuit if the inductance is 10H, ...
The expression for power in an inductive circuit is:
P= LI2/2
Substituting the values from the given question, we get P=5W.
P= LI2/2
Substituting the values from the given question, we get P=5W.
Most Upvoted Answer
Calculate the power in an inductive circuit if the inductance is 10H, ...
Given data:
- Inductance (L) = 10 H
- Current (I) = 2 A
- Time (t) = 4 s
To calculate the power in an inductive circuit, we can use the formula:
P = (1/2) * L * I^2
Where:
- P is the power
- L is the inductance
- I is the current flowing in the inductor
Substituting the given values into the formula, we get:
P = (1/2) * 10 H * (2 A)^2
Simplifying the equation:
P = (1/2) * 10 H * 4 A^2
P = 20 J
To convert the energy in joules to power in watts, we divide the energy by the time:
Power (P) = Energy (E) / Time (t)
P = 20 J / 4 s
P = 5 W
Therefore, the power in the inductive circuit is 5 watts (option C).
Note: The energy stored in an inductor depends on the current and the inductance. The power in an inductive circuit represents the rate at which energy is transferred or consumed. In this case, the power is calculated based on the initial current in the inductor and the time period.
- Inductance (L) = 10 H
- Current (I) = 2 A
- Time (t) = 4 s
To calculate the power in an inductive circuit, we can use the formula:
P = (1/2) * L * I^2
Where:
- P is the power
- L is the inductance
- I is the current flowing in the inductor
Substituting the given values into the formula, we get:
P = (1/2) * 10 H * (2 A)^2
Simplifying the equation:
P = (1/2) * 10 H * 4 A^2
P = 20 J
To convert the energy in joules to power in watts, we divide the energy by the time:
Power (P) = Energy (E) / Time (t)
P = 20 J / 4 s
P = 5 W
Therefore, the power in the inductive circuit is 5 watts (option C).
Note: The energy stored in an inductor depends on the current and the inductance. The power in an inductive circuit represents the rate at which energy is transferred or consumed. In this case, the power is calculated based on the initial current in the inductor and the time period.
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