Q1. A lamp with nominal values of 230 V / 40 W is operated at a voltage U = 400 V via a series resistor. The power loss Pv = 20 W is to be created at the series resistor.

A) Calculate the power consumption of the lamp.

B) Calculate the lamp voltage.

Note: There are two solutions for the power consumption and the lamp voltage. Rate this.

Q2. Given is the following network:

A) Draw the network graph and determine z, k, and m.

B) Calculate all branch streams using the branch flow arrows entered in the sketch. You can choose the calculation method freely.

Q3. Given is the following network:

The switch is closed at time t = 0.

A) Determine the values of i_c and u_c for t < 0, t = +0 and t >> 0, and assemble them into a table.

B) Calculate the time constant T.

C) Specify the time functions of i_c and u_c analytically and show the time functions in the diagram graphically.

Q4.

A) Calculate the current pointer with the I₂ two-pole method.

B) Give the function of the time i2 (t).

Q5. Given is the following transfer member

A) Calculate the complex transfer function G(jω).

B) What is the characteristic of the circuit (highpass, lowpass)?

C) Determine the values T and K of the general transfer function and calculate the limit frequency ω_E.

D) Calculate the magnitude function G(ω) and the function of the phase angle φ_G(ω).

E) Calculate the amounts and phase angles of the transfer function for the frequencies

ω_E, 10ω_E, 0, 1ω_E

F) Draw the Bode diagram.

G) Let u_c = 1 V·cosω_Et.

Enter the time function of the output voltage

u_a = u^{^}_a·cos(ω_Et +φua)  with the values u^{^}_a and φ_ua.