ment Attempts score 3/10/2017 08:00 AM G84.3/100 Gradebook e Print Calculator Pe
ID: 1545375 • Letter: M
Question
ment Attempts score 3/10/2017 08:00 AM G84.3/100 Gradebook e Print Calculator Periodic Table Question 9 of 15 Sapling Learning A 157-turn circular coil of radius 381 cm and negligible resistance is immersed in a uniform magnetic field that is perpendicular to the plane of the coil, The co is connected to a 18.50 resistor to create a closed zero. Find a time interval of 0.119 magnetic field strength decreases from 0.533 T to the that is the resistor this time interval. 100 OPrevious Give up view solution oCheck Nyswer. O Next HExt HintExplanation / Answer
given
no.r of turns = 157 turn
radius = 3.81 cm
resistance = 18.5 ohm resistor
time = 0.119 sec
magnetic feild strength = 0.533 T
The energy dissipated in the resistor is dependent on the current flowing through the resistor. The current in the circuit is dependent on the voltage produced as the magnetic field changes. The EMF, voltage, produced as the magnetic flux changes is dependent on the area of the coil and change of the magnetic field.
Magnetic flux = B * * r^2
B = 0.533 T
r = 3.81 cm = 0.0381 m
Magnetic flux = 0.533 * * 0.0381^2
EMF = (Number of turns) * ( Magnetic flux) ÷ (time interval)
EMF = (157 * (0.533 * * 0.0381^2 ) )/ 0.119 = 3.208 volts
Current = EMF ÷ Resistance = 3.208 / 18.5 =0.1734
Energy = I^2 * R * time = (0.1734)^2 * 18.5 * 0.119 = 0.06619 J = 66.19mJ
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