The primary voltage of an ideal transformer used in a home furnace to connect to a thermostat is a \(120-\mathrm{V}, 60-\mathrm{Hz}\) sinusoid. The secondary voltage is a \(24-\mathrm{V}, 60-\mathrm{Hz}\) sinusoid. The secondary winding is connected to a \(150-\Omega\) resistive load thermostat.

(a) Find the transformer turns ratio.

(b) Write expressions for the primary and secondary currents.

(c) If the source can only deliver a maximum of \(8 \mathrm{~W}\), how many identical thermostats can be connected in parallel and still operate properly?