Resistor Circuit Reduction

Resistor Circuit Reduction#

A car battery charger circuit contains resistors with resistances \(R_1 = {{ params.r1 }} \rm{\Omega}\), \(R_2 = {{ params.r2 }} \rm{\Omega}\), \(R_3 = {{ params.r3 }} \rm{\Omega}\), \(R_4 = {{ params.r4 }} \rm{\Omega}\), \(R_5 = {{ params.r5 }} \rm{\Omega}\). The circuit is reduced in the steps shown in the figure below.

Circuit diagrams showing the car battery circuit in a and the steps taken to reduce the circuit from a to b , b to c, and c to d (if that step is allowed).

Part 1#

Select the steps in reducing the circuit that are allowed.

Answer Section#

  • \((a)\) to \((b)\)

  • \((b)\) to \((c)\)

  • \((c)\) to \((d)\)

Part 2#

If step (a) to (b) is allowed, calculate the value of \(R_6\). Otherwise enter “-1”.

Answer Section#

Please enter an answer in \(\rm{\Omega}\).

Part 3#

If step (b) to (c) is allowed, calculate the value of \(R_7\). Otherwise enter “-1”.

Answer Section#

Please enter an answer in \(\rm{\Omega}\).

Part 4#

If step (c) to (d) is allowed, calculate the value of \(R_8\). Otherwise enter “-1”.

Answer Section#

Please enter an answer in \(\rm{\Omega}\).

Part 5#

Once the circuit is as simplified as possible, what would you do to find the current through \(R_5\)?

Answer Section#

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.