1 Kirchhoff’s laws

Calculate the currents, voltages and power at the resistors for the circuits. Draw all current and voltage arrows for your results. The following values are given:

\(U_0 = 12 \ V; I_0 = 3 \ A; R_1 = 2 \ \Omega ; R_2 = 4 \ \Omega ; R_3 = 3 \ \Omega ; R_4 = 3 \ \Omega \)

a)

b)

1.1 Lösung:

Hier entsteht eine Musterlösung...

2 Kirchhoff’s laws 2

Calculate the total resistance \(R_{\mathrm {tot}}\) between points A and B, the currents \(I_0\), \(I_3\), \(I_5\) and the voltage \(U_6\) for the circuit. The following values are given:
\(R_1 = 5 \ \Omega ; R_2 = 10 \ \Omega ; R_3 = 15 \ \Omega ; R_4 = 20 \ \Omega ; R_5 = 25 \ \Omega ; R_6 = 40 \ \Omega ; U_0 = 80 \ V\).

2.1 Lösung:

Hier entsteht eine Musterlösung...

3 Kirchhoff’s laws 3

The following values are given for the bridge circuit: \(R_1 = 4\ \mathrm {k}\Omega , R_2=20 \ \mathrm {k}\Omega , R_3 = 6 \ \mathrm {k}\Omega , R_4 = 20 \ \mathrm {k}\Omega \).
The internal resistance of the voltmeter can be assumed to be infinitely large. Calculate the following quantities:

a)

\(I_{13}\) and \(I_{24}\)

b)

\(U_1,\ U_2, \ U_3\) and \(U_4\)

c)

The voltage between points A and B.

d)

When would the bridge be balanced, i.e. when is the voltage between points A and B zero? Express the balancing condition in as general a form as possible as a function of resistors \(R_1\) to \(R_4\).

3.1 Lösung:

Hier entsteht eine Musterlösung...

4 Kirchhoff’s laws 4

Given is the circuit shown, consisting of the three resistors \(R_1, R_2\) and \(R_3\) and the two sources \(U_{\mathrm {Q}}\) and \(I_{\mathrm {Q}}\).

a)

Determine the internal resistance of the circuit with respect to terminals A and B.

b)

Calculate the open-circuit voltage \(U_{\mathrm {ABL}}\) between terminals A and B.

c)

Specify the equivalent voltage source for the circuit shown in the figure above and label the quantities.

d)

What power loss \(P_{\mathrm {V}}\) is converted in the circuit shown in the figure above?

e)

Terminals A and B are short-circuited. What current \(I_{\mathrm {K}}\) flows through this connection between terminals A and B?

f)

What voltage \(U_{\mathrm {AB}}\) is established when a resistor \(R\) is connected to terminals A and B? \((R_1 = R_2 = R_3 = R)\)

4.1 Lösung:

Hier entsteht eine Musterlösung...