An rms voltage of 120 V produces a maximum current of 2.1 A in a certain resistor. Find the re

step 1 Hi, here in this given problem we have been provided with the RMS voltage in the AC circuit and

An rms voltage of 120 V produces a maximum current of 2.1...

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Key Concepts

Root Mean Square (RMS) Voltage

In AC circuits, the RMS voltage is the effective value of a varying voltage and is equivalent to a constant DC voltage that would deliver the same average power to a resistor. It is a widely used measure because it relates directly to the energy content of the AC signal.

Relationship between Peak and RMS Values

For sinusoidal waveforms, the peak (or maximum) value of the voltage or current is related to the RMS value by a factor of ?2. This relation is particularly important when converting between effective power measurements (using RMS values) and maximum instantaneous values, which are used in formulas such as Ohm's law for AC circuits.

Ohm’s Law

Ohm's Law establishes the proportional relationship between voltage, current, and resistance in an electrical circuit, typically expressed as V = I × R. In AC circuits, appropriate care is taken to use either RMS or peak values consistently when applying this law, ensuring accurate calculations for current, voltage, or resistance.

Resistance

Resistance is a measure of the opposition to the flow of electric current in a material or component. It plays a critical role in determining how much current will flow for a given voltage, as dictated by Ohm’s Law, and is a fundamental property in analyzing and designing electrical circuits.

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