An AC voltage source is connected to a resistor R = 1.90 times 10^2 ohm. The output from an AC...


An AC voltage source is connected to a resistor {eq}R = 1.90 \times 10^2\ \Omega {/eq}. The output from an AC voltage source is given by the expression {eq}V = (3.00 \times 10^2\ V) \sin 2 \pi ft {/eq}.

(a) What is the rms voltage across the resistor?

(b) What is the rms current flowing through the resistor?

AC Circuits:

AC is the shorthand for Alternating Current, which only means that the current is an oscillating waveform. It can be sinusoidal, square, triangular, though the most common is the first. An AC circuit is a circuit subjected to an oscillating voltage, producing oscillating current or what we call the AC. This is what is commonly used in our power system due to the ease that we can step up and step down the AC voltage through the transformer. The transformation of voltage makes our electricity transfer efficient, which equals to savings; hence the usage of the AC as our source.

Answer and Explanation: 1

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To Calculate:

(a) The rms voltage across the resistor:

Since the voltage is given in the form {eq}V = V_m \sin \omega t= (3.00 \times 10^2\ V) \sin...

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Learn more about this topic:

Alternating Current: Definition, Advantages & Disadvantages


Chapter 12 / Lesson 7

Read the definition of direct and alternating current. See the advantages of AC over DC and understand why we use AC instead of DC. Know if we use AC or DC in homes.

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