Question

A generator consists of a rectangular loop with turns of wire spinning at in a uniform magnetic field. The generator output is connected to a series RC circuit consisting of a and a capacitor. What is the average power delivered to the circuit?

Answer 1

Full question:

A generator consists of a 18-cm by 12-cm rectangular loop with 500 turns of wire spinning at 60 Hz in a 25 mT uniform magnetic field. The generator output is connected to a series RC circuit consisting of a 150 Ω and a 35 μF capacitor.What is the average power delivered to the circuit?

Answer:

The average power delivered to the circiut is 27.5 W

Solution:

Induced emf amplitude = N A B w

N- Number of turns of the coil

B- Magnetic field

`=500 *(0.18 * 0.12) * 0.025 *(2 \pi 60)`

Induced emf amplitude = 101.8 Volt

`\begin{aligned}&X_(c)=(1)/((2 p i f C))=(1)/(2 * \pi * 60 * 35 * 10^(-6))\\&X_(c)=75.8\ \mathrm{ohm}\end{aligned}`

R = 150 ohm

`\begin{aligned}&z=\sqrt{\left[R^(2)+X_(c)^(2)\right]}=168 \text { ohm }\\&I_{\text {peak}}=(101.8)/(168)=0.606\ \mathrm{A}\\&P_(a v g)=(l^(2) R)/(2)=27.5\ \mathrm{W}\end{aligned}`