A circular conducting loop of radius 29.0 cm is located in a region of homogeneo

Question

A circular conducting loop of radius 29.0 cm is located in a region of homogeneous magnetic field of magnitude 0.500 T pointing perpendicular to the plane of the loop. The loop is connected in series with a resistor of 281 . The magnetic field is now increased at a constant rate by a factor of 2.10 in 25.0s.

A.) Calculate the magnitude of the induced emf in the loop while the magnetic field is increasing.

B.) Calculate the magnitude of the current induced in the loop while the field is increasing.

C.) With the magnetic field held constant at its new value of 1.05 T, calculate the magnitude of the average induced voltage in the loop while it is pulled horizontally out of the magnetic field region during a time interval of 1.70 s.

Explanation / Answer

A) induced emf e = rate of change in flux = (B2-B1)*A*cos0/t

e = (((2.1*0.5)-0.5)*3.14*0.29^2*cos0)/25 = 0.00581 volts = 5.81 mv

---------------------------------

B) i = e/R = 16.901e?3/281 = 20.675e?6 amperes

here R = 281 ......it is not typed properly if R = 0.281 then i = 0.020676 amperes
--------------------

C) induced emf e = rate of change in flux = (B2-B1)*A*cos0/t

e = ((1.05-0)*3.14*0.29^2*cos0)/1.7 = 163.105e?3 volts=

163.105 mv

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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