An alternating current is represented by the equation,
ampere. The RMS value of current and the frequency of the given alternating current are
Text Solution
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To solve the problem, we need to determine both the RMS value of the current and the frequency from the given equation:

Here's how we do it step by step:
RMS Current Calculation:
For a sinusoidal current of the form
, the RMS (root-mean-square) current is given by:

In our case, the amplitude
A. Plugging into the formula:

Frequency Calculation:
The argument of the sine function is
. In the general form
is the angular frequency which relates to the frequency
by the equation:

Given
, we can solve for
:

With these calculations, we find that the RMS current is 100 A and the frequency is 50 Hz.
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