# How does alternating current transfer energy?

Whenever there is current, electrons flow (the usual case). Electrons that move carry energy in terms of voltage. Suppose that we want to transfer energy to a resistor in a circuit,

The power (which is a good way to express energy) is

For a direct current, the math is simple. For alternating current with peak current I , the effective current becomes

Hence the Power transferred is

If you are asking about transmission of energy to households, then alternating current is needed to keep changing magnetic flux through a Gaussian surface so that electricity is continuously produced via generator and altered via transformer. Direct current is useless in power generation.

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Alternating current (AC) transfers energy by constantly changing the direction of flow of electric charge. This change in direction occurs in a cyclical manner, typically as a sinusoidal waveform. As the current alternates, it creates an oscillating electromagnetic field around the conductor. This alternating magnetic field induces a corresponding alternating voltage in nearby conductors, allowing for the transfer of energy over distances through transformers, transmission lines, and ultimately to electrical loads such as appliances, lights, and machinery.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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