Hello everyone. I come back. Our exercise today is “A Generator Connected To The Wheel Or Hub Of A Bicycle” Let’s follow the steps!

Question: A Generator Connected To The Wheel Or Hub Of A Bicycle

A generator connected to the wheel or hub of a bicycle can be used to power lights or small electronic devices. A typical bicycle generator supplies 5.50 V when the wheels rotate at ω = 19.0 rad/s. 

and here is our full question:

Answer

a, According to the question, we have:

Induced emf,

= 5.50 V

angular velocity,

= 19 rad/s

Magnetic field, B = 0.550 T

Number of turns, N = 105

Let the area of loop be A

Now,

maximum emf induced,

= N*B*A*

=> 5.50 = 105*0.550*A*19

=> 1097.25*A = 5.50

=> A = 5.50 / 1097.25 = 0.0050125 m²

Thus, the answer for question a: The area of the loop is 0.0050125 m²

(b)

Now,

time period, T =

                     = 2*3.14 / 19 =0.331 sec

So, time interval between maximum emf and miimum emf is T/2 = 0.331/2 = 0.1655 sec

thus, time interval is 0.1655 séc

Relevant knowledge

– Single phase alternator
Working principle: based on the phenomenon of electromagnetic induction. The inductance with p magnets (p pairs of poles) produces a magnetic flux through the armature (wireframe). When one of the two parts rotates with speed n (revolutions/s), the magnetic flux through the armature will be biased with frequency f = pn, so in the armature there will be a sinusoidal a.c. emf of the same frequency f. .
– Three-phase alternator.
Working principle: similar to a single-phase AC generator. When the magnet rotates, the flux of each coil will be biased with angular frequency , same amplitude, but out of phase by 2π/3 (because the three coils are placed in 3 symmetrical positions (3 axes of 3 coils). concurrent at O and disparate 2π/3)

Conclusion

The above article has helped you to solve the question “A Generator Connected To The Wheel Or Hub Of A Bicycle”. Thanks for reading and see you next time!