A circular coil with one turn is in a perpendicular (time dependent) magnetic fi

Question

A circular coil with one turn is in a perpendicular (time dependent) magnetic field given by B=1.600-0.0500 t Tesla, where time t is in seconds. The induced voltage in the loop is 2.66V. Calculate the radius of the coil. Answer Submit All Answers 5. A 120 turn conducting coil with a radius of 16.9cm rotates at a frequency of f = 49.0Hz in a magnetic field B - 0.130T. Calculate the generated rms emf. The rms (root-mean-square) value of a sinusoidal quantity is the amplitude divided by root of 2. Answer Submit All Answers 6. The average intensity of solar radiation incident on Earth is 1390 W/m2. What is the total power radiated by the sun. DATA: The mean distance between Earth and the sun is 1.5 Times 1011m.

Explanation / Answer

4)We have induced emf E = - Nd?/dt
= -NAdB/dt
= -N(?r^2)(-0.05)
= 0.157r^2
then radius of the coil r =?[2.66/0.157]
= 4.116m
= 411.6cm


5)Generated emf is E = NABf
= 120*?*(0.169m)^2*0.13*49
=68.5525V
Then the rms emf is 68.5525V/?2 = 48.47V

7) Compare the given equation E = 6.50 * 102 sin { 8.35 * 106 * ? * (x - 3.0 * 108 * t)}

to standard equation E = E0 * sin {(2?/?) * (x - v * t)}

E0 = 6.50 * 102 V/m

2?/? = 8.35 * 106 * ?

wavelength ? = 2? / 8.35 * 106 * ?

= 2.3952 * 10-7 m

speed v = 3.0 * 108 m/s

frequency f = v/?

= 3.0 * 108 / 2.3952 * 10-7

= 1.2525 * 1015 Hz

8) B0 = E0 / C

= 6.50 * 102 / 3 * 108

= 2.16 * 10-6 T

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.