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A sinusoidal ac voltage source in a circuit produces a maximum voltage of 12.2 V and an rms current of 8.00 mA. Find the voltage amplitude.

Express your answer in volts.

1 Answer

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Final answer:

The voltage amplitude of an AC circuit with a given maximum voltage and rms current is the maximum voltage itself. In this case, since the maximum voltage is provided directly as 12.2 V, the voltage amplitude is 12.2 volts.

Step-by-step explanation:

To find the voltage amplitude of an AC circuit given the rms current, we must first understand the relationship between the maximum voltage, the rms voltage, and the rms current. The maximum voltage (Vmax) is equal to the rms voltage (Vrms) times the square root of 2. Since the rms current is given, if the resistance of the circuit is known, we could calculate the rms voltage using Vrms = Irms × R, and then find the voltage amplitude. However, in this scenario, we are directly given the maximum voltage of the AC source as 12.2 V. Therefore, the voltage amplitude is simply the maximum voltage, which is 12.2 volts.

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