What is the cut off frequency for an RC series circuit if R = 1500 ohm and C = 100 nF?Group of answer choices314 Hz1.062 Hz942 μHz1062 Hz
Question
What is the cut off frequency for an RC series circuit if R = 1500 ohm and C = 100 nF?Group of answer choices314 Hz1.062 Hz942 μHz1062 Hz
Solution
The cut-off frequency (f_c) for an RC series circuit can be calculated using the formula:
f_c = 1 / (2πRC)
where R is the resistance in ohms (Ω), C is the capacitance in farads (F), and π is a constant (approximately 3.14159).
Given that R = 1500 Ω and C = 100 nF (which is equivalent to 100 x 10^-9 F), we can substitute these values into the formula:
f_c = 1 / (2π * 1500 Ω * 100 x 10^-9 F)
Solving this equation will give us the cut-off frequency in hertz (Hz).
Let's calculate it:
f_c = 1 / (2 * 3.14159 * 1500 * 100 * 10^-9) f_c = 1 / (942477.8 * 10^-9) f_c = 1.061 Hz
So, the cut-off frequency for an RC series circuit with R = 1500 Ω and C = 100 nF is approximately 1.062 Hz.
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