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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
C = 100 nF?

Group of answer choices

  • 314 Hz
  • 1.062 Hz
  • 942 μHz
  • 1062 Hz
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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.

This problem has been solved

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