The rms current in an AC circuit with a resistance of 150 Ωis 0.85 A. What are (a) the average p

step 1 Hi, here in this given problem, RMS current in the AC circuit that is given as 0 .85 ampere resi

The rms current in an AC circuit with a resistance of 150...

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Key Concepts

Root Mean Square (RMS) Value

The RMS value of an AC current represents the effective value of a time-varying current that delivers the same average power to a resistive load as an equivalent DC current. It is calculated as the square root of the mean of the squares of the instantaneous current values over one cycle, which makes it a crucial parameter in AC circuit analysis.

Average Power in AC Circuits

Average power in an AC circuit with a resistive load is defined as the power dissipated over one complete cycle. It is calculated using the formula P_avg = I_rms² × R, where I_rms is the root mean square current and R is the resistance. This value represents the steady power consumption in the circuit.

Peak (Maximum) Current and Maximum Instantaneous Power

The peak or maximum current in a sinusoidal AC circuit is related to the RMS current by the factor ?2, i.e., I_peak = I_rms × ?2. The maximum instantaneous power occurs when the current is at its peak value, and it can be calculated as P_max = I_peak² × R. This concept is essential for understanding the momentary power surges in AC circuits compared to the average power.

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