Question

Determine the current drawn from a 12 V supply with internal resistance 0.5 Ω by the infinite network shown in Fig. 3.32. Each resistor has 1 Ω resistance.

Answer 1

The resistance of each resistor connected in the given circuit, R = 1 Ω

Equivalent resistance of the given circuit = R^’

The network is infinite. Hence, equivalent resistance is given by the relation,

Negative value of R^’ cannot be accepted. Hence, equivalent resistance,

Internal resistance of the circuit, r = 0.5 Ω

Hence, total resistance of the given circuit = 2.73 + 0.5 = 3.23 Ω

Supply voltage, V = 12 V

According to Ohm’s Law, current drawn from the source is given by the ratio, = 3.72 A