Question

Find the effective resistance of the network of resistors between points A and F as shown in the figure.

Hint:

When solving complex resistor networks, always reduce series and parallel combinations step by step. Start from the innermost resistors and work outward.

Answer 1

Calculation of Resistance: \[ R_{BCD} = 2 + 4 = 6 \, \Omega \] \[ R_{BD} = \frac{3 \times 6}{6 + 3} = 2 \, \Omega \] \[ R_{BDE} = 2 + 8 = 10 \, \Omega \] \vspace{1cm} \[ R_{BE} = \frac{40 \times 10}{40 + 10} = 8 \, \Omega \] \[ R_{AF} = 7 + 8 + 5 = 20 \, \Omega \]