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Calculate the current in an inductor if the energy stored is 160J and the inductance is 20H.
- a)1A
- b)2A
- c)3A
- d)4A
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Calculate the current in an inductor if the energy stored is 160J and ...
The expression for energy in an inductor is:
W= LI2/2t
Substituting the values from the given question, we get I=4A.
W= LI2/2t
Substituting the values from the given question, we get I=4A.
Most Upvoted Answer
Calculate the current in an inductor if the energy stored is 160J and ...
To calculate the current flowing through an inductor, we can use the formula:
Energy stored in an inductor (W) = 0.5 * L * I^2
Where:
W is the energy stored in the inductor (in joules)
L is the inductance of the inductor (in henries)
I is the current flowing through the inductor (in amperes)
Given:
Energy stored (W) = 160 J
Inductance (L) = 20 H
Let's substitute these values into the formula and solve for I:
160 = 0.5 * 20 * I^2
Divide both sides of the equation by 0.5 * 20:
160 / (0.5 * 20) = I^2
Simplify:
160 / 10 = I^2
16 = I^2
Take the square root of both sides:
√16 = √(I^2)
4 = I
Therefore, the current flowing through the inductor is 4 amperes (option D).
Summary:
The current flowing through an inductor can be calculated using the formula: Energy stored in an inductor = 0.5 * L * I^2. By substituting the given values of energy stored and inductance into the formula, we can calculate the current flowing through the inductor to be 4 amperes.
Energy stored in an inductor (W) = 0.5 * L * I^2
Where:
W is the energy stored in the inductor (in joules)
L is the inductance of the inductor (in henries)
I is the current flowing through the inductor (in amperes)
Given:
Energy stored (W) = 160 J
Inductance (L) = 20 H
Let's substitute these values into the formula and solve for I:
160 = 0.5 * 20 * I^2
Divide both sides of the equation by 0.5 * 20:
160 / (0.5 * 20) = I^2
Simplify:
160 / 10 = I^2
16 = I^2
Take the square root of both sides:
√16 = √(I^2)
4 = I
Therefore, the current flowing through the inductor is 4 amperes (option D).
Summary:
The current flowing through an inductor can be calculated using the formula: Energy stored in an inductor = 0.5 * L * I^2. By substituting the given values of energy stored and inductance into the formula, we can calculate the current flowing through the inductor to be 4 amperes.
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