Problems
practice
- A fairly complicated three-wire circuit is shown below (also available as a pdf). The source voltage is 120 V between the center (neutral) and the outside (hot) wires. Load currents on the upper half of the circuit are given as 10 A, 4 A, and 8 A for the load resistors j, k, and l, respectively. Load currents on the lower half of the circuit are given as 6 A and 12 A for the load resistors m and n, respectively. The resistances of the connecting wires a, b, c, d, e, f, g, h, and i are also given. Determine…
- the current through each of the connecting wires (a, b, c, d, e, f, g, h, i) with the direction (left, right);
- the voltage drop across each load element (j, k, l, m, n); and
- the resistance of each load element (j, k, l, m, n).

- Given the circuit below with 3 A of current running through the 4 Ω resistor as indicated in the diagram to the right. Determine…
- the current through each of the other resistors,
- the voltage of the battery on the left, and
- the power delivered to the circuit by the battery on the right.
- Determine the current through each resistor in the circuit shown below.
- Write something completely different.
numerical
- Determine the currents in the relatively simple three-wire circuit shown below. Specify whether the current is flowing up or down the wire in each case.
- Check out the circuit shown below.
- Write Kirchhoff's equations for this circuit.
- Find the unknown currents I1 and I2.
- Find the unknown battery voltage V2.
algebraic
- The circuit below is made of 12 identical resistors on the edges of a cube. Determine the equivalent resistance of the cube across diagonally opposite corners in terms of the resistance R of one edge.
calculus
- Two batteries of emf ℰ and internal resistance r are connected in parallel to a load of resistance R as shown in the diagram below.
- Write Kirchhoff's equations for this circuit.
- Determine the current through the load.
- Show that the power dissipated by the load is a maximum when R = ½r.