An ac circuit contains a resistor with a resistance of 5.0 Ω. The resistor has an rms current of

step 1 We have an AC circuit contains with resistance of R equals to 5 .0 om and the register has RMS c

An ac circuit contains a resistor with a resistance of 5.0...

An ac circuit contains a resistor with a resistance of $5.0 \Omega$. The resistor has an rms current of 0.75 A. (a) Find its rms voltage and peak voltage. (b) Find the average power delivered to the resistor.

Key Concepts

Average Power in Resistive AC Circuits

The average power delivered to a resistor in an AC circuit is calculated using the RMS values of voltage and current. It represents the effective energy consumed over time and for resistive loads, it can be computed as the product of the RMS voltage and RMS current.

Ohm's Law in AC Context

Ohm's Law, which states that voltage equals current times resistance, applies to AC circuits when considering RMS values. This relationship allows for the calculation of RMS voltage across a resistor when the RMS current and resistance are known.

Alternating Current (AC) Circuits

AC circuits involve currents and voltages that vary sinusoidally over time. In these circuits, quantities such as voltage and current are typically described using their effective values, and analysis often requires understanding the behavior of sinusoidal signals.

Root-Mean-Square (RMS) Value

The RMS value of an AC signal is a statistical measure of its magnitude and represents the equivalent DC value that would deliver the same power to a load. In sinusoidal waveforms, the RMS value is found by dividing the peak value by the square root of two.

Peak Value

The peak value of an AC waveform is the maximum instantaneous amplitude of the signal. It is important for determining the limits of circuit components and is mathematically related to the RMS value in sinusoidal signals by a constant factor.

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