The root mean square (r.m.s.) current for this alternating current (AC) is
Correct answer: C. Io / √2
- A. Io
- B. √2 Io
- C. Io / √2
- D. 2 Io
Explanation
The correct formula for finding the root mean square (r.m.s.) current for an alternating current (AC) signal is Io / √2, as indicated in Option C. This means the r.m.s. current is the peak current divided by √2. The other options represent incorrect calculations: Option A equates the r.m.s. current to the peak current directly, Option B multiplies the peak current by √2, and Option D doubles the peak current, none of which are accurate for calculating r.m.s. current in AC circuits.
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About AC Through Resistor, Capacitor and Inductor
Alternating current through a resistor, capacitor and inductor involves phase relationships between voltage and current, reactance, impedance and energy transfer. A resistor keeps voltage and current in phase, while a capacitor and inductor produce opposite phase shifts, a distinction used in circuit diagrams and numerical calculations.
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