In an a.c. circuit containing inductance onlya)I is in phase with Eb)I lags E by 90 degreesc)There is no relation between I , E and phase differenced)I leads E by 90 degreesCorrect answer is option 'B'. Can you explain this answer?

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In an a.c. circuit containing inductance only

a)
I is in phase with E
b)
I lags E by 90 degrees
c)
There is no relation between I , E and phase difference
d)
I leads E by 90 degrees

Correct answer is option 'B'. Can you explain this answer?

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Test: AC Applied Across Inductor

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In an a.c. circuit containing inductance onlya)I is in phase wi...

Inductors store their energy in the form of a magnetic field that is created when a voltage is applied across the terminals of an inductor. ... However, in an alternating current circuit which contains an AC Inductance, the flow of current through an inductor behaves very differently to that of a steady state DC voltage.

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In an a.c. circuit containing inductance onlya)I is in phase wi...

Explanation:
In an AC circuit containing inductance only, the current (I) lags behind the voltage (E) by 90 degrees. This is due to the presence of inductance in the circuit.

Reason:
When an AC voltage is applied across an inductor, a back EMF (electromotive force) is induced in the inductor. This back EMF opposes the change in current through the inductor. As a result, the current takes some time to reach its maximum value.

Phase Relationship:
The phase relationship between the current and voltage in an inductor is determined by the mathematical relationship between the two quantities. In an inductive circuit, the voltage across the inductor (E) is given by the equation:

E = jωLI

Where:
- E is the voltage across the inductor
- ω is the angular frequency of the AC signal
- L is the inductance of the inductor
- I is the current flowing through the inductor

From this equation, we can see that the voltage across the inductor is directly proportional to the current flowing through it. However, there is a phase difference of 90 degrees between the voltage and current.

Effect of Inductance:
The presence of inductance in the circuit causes the current to lag behind the voltage. This is because the inductor opposes any change in current, resulting in a delay in the rise of the current. The inductor stores energy in its magnetic field, and this energy is released when the current starts to decrease. As a result, the current lags behind the voltage.

Conclusion:
In summary, in an AC circuit containing inductance only, the current lags behind the voltage by 90 degrees. This phase relationship is due to the presence of inductance in the circuit, which causes the current to be delayed in response to changes in the voltage.

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In an a.c. circuit containing inductance onlya)I is in phase with Eb)I lags E by 90 degreesc)There is no relation between I , E and phase differenced)I leads E by 90 degreesCorrect answer is option 'B'. Can you explain this answer?

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