Calculate V_out/V_in for the circuit if R = 2.0 kΩ,C = 0.020 μF and V = 140V sin(50000t) .

Question

Calculate V_out/V_in for the circuit if R = 2.0 kΩ,C = 0.020 μF and V = 140V sin(50000t). A)0.02 B)0.45 C)0.80 D)0.98 E)2.2

Quizplus · Accepted Answer

We can start by finding the impedance of the capacitor: Xc = 1/(2πfC) = 1/(2π*50000*0.020*10^-6) ≈ 15.92 kΩ Next, we can use voltage division to find the output voltage: V_out = V_in * Xc/(R+Xc) V_out/V_in = Xc/(R+Xc) Plugging in the values: Xc/(R+Xc) = 15.92/(2.0+15.92) ≈ 0.888 Therefore, V_out/V_in ≈ 0.888 This is closest to choice B, 0.45.

Calculate Vout/Vin for the Circuit If R = 2

Calculate V_out/V_in for the Circuit If R = 2