The impedance of an Rc circuit is 20o at a frequency of 5phz . At freq...
Impedance of the RC Circuit at 5 Hz
The impedance of an RC circuit is given by the formula Z = R + jX, where R is the resistance and X is the reactance. At a frequency of 5 Hz, the impedance of the circuit is given as 20 ohms.
Calculating the Reactance at 5 Hz
At 5 Hz, the reactance (X) of the circuit can be calculated using the formula X = 1 / (2 * π * f * C), where f is the frequency and C is the capacitance. Given that the impedance is 20 ohms and the frequency is 5 Hz, we can calculate the reactance.
Impedance of the RC Circuit at 60 Hz
To find the impedance of the RC circuit at a frequency of 60 Hz, we need to calculate the reactance at this new frequency. Using the same formula as before, we can find the reactance at 60 Hz.
Calculating the Reactance at 60 Hz
Now, plug in the values of frequency as 60 Hz and the calculated capacitance from the previous step into the formula X = 1 / (2 * π * f * C) to find the reactance at 60 Hz.
Impedance of the RC Circuit at 60 Hz
Once we have calculated the reactance at 60 Hz, we can use the formula Z = R + jX to find the impedance of the RC circuit at this frequency. The impedance will now include the resistance (R) and the new reactance (X) at 60 Hz.
By following these steps, you can determine the impedance of an RC circuit at different frequencies and understand how the reactance changes with varying frequencies.