How Do You Calculate Capacitance for a Low Pass Filter to Attenuate 60Hz Noise?

AI Thread Summary
To calculate capacitance for a low pass filter that attenuates 60Hz noise while allowing a 3Hz signal, the resistor value of 100 Ohms is crucial. The corner frequency, which is essential for determining capacitance, is not simply the frequency of the signal but is derived from the filter's transfer function. The transfer function equation can be used to relate the output and input voltages, facilitating the calculation of the required capacitance. The goal is to achieve -10dB attenuation at 60Hz while passing the 3Hz signal effectively. Understanding these relationships is key to solving the capacitance problem.
blumpkinpie
Messages
1
Reaction score
0
A resistor and capacitor are in series. The signal is at 3 herts and a passive filter must be used to remove a 60hz noise with -10db attenuation. The resistor is 100 Ohms. HOw do you find the capacitance, I've been tryin it for an hour. Usually you would find it with the corner frequency but this question wants us to find the corner frequency using the capacitance. Please helppp!

Is the corner frequency just the frequency of the signal?
 
Physics news on Phys.org
blumpkinpie said:
A resistor and capacitor are in series. The signal is at 3 herts and a passive filter must be used to remove a 60hz noise with -10db attenuation. The resistor is 100 Ohms. HOw do you find the capacitance, I've been tryin it for an hour. Usually you would find it with the corner frequency but this question wants us to find the corner frequency using the capacitance. Please helppp!

Is the corner frequency just the frequency of the signal?

Welcome to the PF.

What is the equation for the LPF transfer function? Vo/Vi = ?

You want to pass 3Hz and attenuate 60Hz by 10dB. Use the transfer function equation to figure out the value of C...
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top