Share
A circular loop of wire with a radius of 12.0 cm and oriented in the horizontal xy-plane is located in a region of uniform magnetic field. A
Question
A circular loop of wire with a radius of 12.0 cm and oriented in the horizontal xy-plane is located in a region of uniform magnetic field. A field of 1.8 T is directed along the positive z-direction, which is upward.
If the loop is removed from the field region in a time interval of 2.8 ms, find the average emf that will be induced in the wire loop during the extraction process.
in progress
0
Physics
1 year
2021-08-15T00:57:32+00:00
2021-08-15T00:57:32+00:00 1 Answers
89 views
0
Answers ( )
Answer:
The average induced emf is 29.06 V
Explanation:
Given;
radius of the circular loop, r = 12.0 cm = 0.12 m
magnetic field strength, B = 1.8 T
time interval = 2.8 ms = 0.0028 s
Area of the circular loop, A = πr² = π (0.12)² = 0.0452 m²
[tex]e.m.f =\frac{BA}{t}[/tex]
where;
B is magnetic field
A is area
t is time
substitute the values given in the above equation to calculate the average emf that will be induced in the wire loop during the extraction process.
[tex]e.m.f =\frac{1.8 *0.0452}{0.0028} = 29.06 \ V[/tex]
Therefore, the average induced emf is 29.06 V