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

Question

Quizplus · Accepted Answer

We can find the output voltage using the voltage divider equation: V_out = V_in * (ZC/(ZR+ZC)) where ZC is the impedance of the capacitor and ZR is the impedance of the resistor: ZC = 1/(jwC) = -j79.58 kΩ ZR = R = 2.0 kΩ Substituting the values and simplifying, we get: V_out = V_in * (-j0.975) Taking the magnitude of the output voltage, we get: |V_out| = |V_in| * |(-j0.975)| |V_out| = |V_in| * 0.975 Now, we just need to divide the magnitudes: |V_out|/|V_in| = 0.975 Finally, we substitute the given value of the input voltage: |V_out|/140 = 0.975 |V_out| = 136.5V Therefore, the ratio of output voltage to input voltage is: V_out/V_in = 136.5/140 ≈ 0.45

Calculate Vout/Vin for the Circuit If R = 2

Calculate V_out/V_in for the Circuit If R = 2