Question

A circular loop with a radius of 12 cm is located perpendicularly inside a magnetic field of 0.6 T. The loop rotates with an angular velocity of 50 rad / s. What emf (∈) is induced in the loop?

A. element of = 21 V
B. element of = 212 V
C. element of=0.05 V
D. element of = 95 V
E. element of=0.21 V
F. element of = 415 V
G. element of = 20 V
H. element of = 0.14 V
I. element of = 215 V
J. element of = 76 V

Answer 1

The emf induced in a magnetic field is calculated using Faraday's Law of Electromagnetic Induction. Substituting the given numbers into the formula shows that the emf induced in the loop is closest to option H (element of = 0.14 V).

Step-by-step explanation:

The electromagnetic force (emf) induced in a rotating loop within a magnetic field is determined by Faraday's Law of Electromagnetic Induction and can be calculated using the formula: E = ½ Bωr², where E is the induced emf, B is the magnetic field strength, ω is the angular velocity, and r is the radius of the loop.

Substituting the given values into the formula, we have: E = ½ * 0.6 T * (50 rad/s) * (0.12 m)² = 0.18 V. Therefore, the emf induced in the loop is closest to option H, which states element of = 0.14 V.

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