# Question: Suppose you wanted to build an electric generator using the

Suppose you wanted to build an electric generator using the Earth’s magnetic field. Assume it has a strength of 0.040 mT at your location. Your generator design calls for a coil of 1000 windings rotated at exactly 60 Hz. The coil is oriented so that the normal to the area lines up with the Earth’s field at the end of each cycle.

(a) What must the coil diameter be to generate a maximum voltage of 170 V (required in order to average 120 V)? Does this seem like a practical design?

(b) Some generators operate at 50 Hz. How would this change the coil diameter?

(c) What number of windings would make this coil arrangement a “manageable” size?

(a) What must the coil diameter be to generate a maximum voltage of 170 V (required in order to average 120 V)? Does this seem like a practical design?

(b) Some generators operate at 50 Hz. How would this change the coil diameter?

(c) What number of windings would make this coil arrangement a “manageable” size?

**View Solution:**## Answer to relevant Questions

(a) In May 2008, the United States successfully landed a spacecraft named Phoenix near the northern polar regions of Mars. Immediately upon landing, the craft sent a message indicating that all had gone well. Using the ...When the magnetic flux through a single loop of wire increases by 30 T ∙ m2, an average current of 40 A is induced in the wire. Assuming that the wire has a resistance of 2.5 Ω, (a) Over what period of time did the flux ...A 25-Ω resistor is wired directly across a 120-V ac source. What happens to the time-average power, rms voltage, and rms current when the ac source is changed to 240 V? The current in a resistor is given by I = (8.0 A) sin (40πt) when a voltage given by V = (60 V) sin (40πt) is applied to it. (a) What is the resistance value? (b) What are the frequency and period of the voltage source? ...A variable capacitor in a circuit with a 120-V, 60-Hz source initially has a capacitance of 0.25 μf. The capacitance is then increased to 0.40 μF. (a) What is the percentage change in the capacitive reactance? (b) What ...Post your question