A low-pass filter with R=1 and C= receives a sinusoidal input with frequency 10 times the cutoff frequency. The gain is approximately:

Give the value in dB, without the unit. 

In a first-order RC high-pass filter, what is the magnitude of the gain at f=10 f_c?

Give the value in dB, without the unit. 

A series RLC circuit acts as a bandpass filter. The input signal is ve(t)=7sin(2π1200t). 

Calculate the bandwidth  given that R=2,5 Ω, L=4,9 H, C= 3,551762 F.

Give the value in rad/s with 2 decimal digits, without the unit.

Given the following RL filter with 𝑅 = 177,2 Ω and L = 361,2 H. 

Calculate the cut-off frequency f_c.

Give the value in Hz with 2 decimal digits, without the unit.

For an RC low-pass filter, an input signal ve(t)=3sin⁡(2π500t)v_e(t) = 3\sin(2\pi 500 t) is applied.

Given that R=5kΩ and C=0,5 μFC = 0,5 \, \mu\text{F}, the attenuation of the frequency component is:

Give the value with 3 decimal digits.

An RC circuit is subjected to a voltage step from 0 V to 10 V at t=0. Calculate the time constant τ. Given: R=655,2 Ω and C=8,937415 F.

Match the elements.

A low-pass filter RL is subjected to an input voltage of 9,6 V_peak at 3 kHz. 

Calculate the average power P_average dissipated in the resistor. 

Given: R=5,6 Ω, L={b} H.

Give the value in W with 2 decimal digits, without the unit.

Write the following number in 2's complement on 8 bits: -110

Write the following number in 2's complement on 8 bits: -59