Problem 8: A circular wire loop of radius r = 0.15 m and resistance R = 8.5 Q rotates about a shaft through its diameter at a constant rate off= 5.35 Hz in a uniform B = 0.37-T magnetic field directed perpendicular to the rotation axis. The plane of the loop is perpendicular to the magnetic field at time t = 0. Part (a) Select the correct expression for the time-dependent magnetic flux through the loop. SchematicChoice : D = TB cos(ft)r² $ = 2nB cos(27ft)r² ¢ = TB cos(27 ft)r 1 Ф B cos(2n ft)r² = #B cos(27 f)r² 4 = «B cos(2nft)r² Part (b) Find the value of the magnetic flux through the loop, in webers, at time t = 0.102 s. Numeric : A numeric value is expected and not an expression. Part (c) Select the expression for the time-dependent emf induced in the loop based on the expression you entered in part (а).В. SchematicChoice : E = 2n² fr² B sin(27f) Ɛ= 2n² fr²B cos(2nf) E = ar² B sin(27 ft) E = ar² B cos(2n ft) E = 2n² fr² B cos(27 ft) E = 2n² fr²B sin(27 ft) %3D %3D %3D

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Chapter1: Units, Trigonometry. And Vectors
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Can you please solve a, b, c?

Problem 8: A circular wire loop of radius r = 0.15 m and resistance R = 8.5 Q rotates about a shaft through its
diameter at a constant rate of f = 5.35 Hz in a uniform B = 0.37-T magnetic field directed perpendicular to the
rotation axis. The plane of the loop is perpendicular to the magnetic field at time t = 0.
Part (a) Select the correct expression for the time-dependent magnetic flux through the loop.
SchematicChoice :
+ = TB cos(ft)r²
O = 27B cos(27 ft)r²
O = TB cos(27 ft)r
1
B cos(2T ft)r²
D = TB cos(27 f )r²
= TB cos(27 ft)r²
Part (b) Find the value of the magnetic flux through the loop, in webers, at time t = 0.102 s.
Numeric : A numeric value is expected and not an expression.
Part (c) Select the expression for the time-dependent emf induced in the loop based on the expression you entered in part
(а).В.
SchematicChoice :
E = 2n² fr² B sin(27f) E= 2n² fr²B cos(27f)
E = ar² B cos(27 ft) E = 2n² fr² B cos(2rft) E = 2n² fr²B sin(2n ft)
= ar²B sin(27 ft)
Part (d) Calculate the induced emf in the loop, in volts, at time t = 0.102 s.
Numeric : A numeric value is expected and not an expression.
Part (e) Select the expression for the induced current in the loop based on the expression you entered in part (c).
SchematicChoice :
4n f2r³B
473 f²r³B
- sin(27 ft) I =
cos(27 ft) I=
R
sin(27 f)
I =
R
I = 2n² fr² B sin(27f) I= 2n² fr² B sin(2rft)
27² fr²B
I
2E )
sin(27 ft)
R
Part (f) Find the induced current in the loop, in amperes, at time t = 0.102 s.
Numeric : A numeric value is expected and not an expression.
I =
Transcribed Image Text:Problem 8: A circular wire loop of radius r = 0.15 m and resistance R = 8.5 Q rotates about a shaft through its diameter at a constant rate of f = 5.35 Hz in a uniform B = 0.37-T magnetic field directed perpendicular to the rotation axis. The plane of the loop is perpendicular to the magnetic field at time t = 0. Part (a) Select the correct expression for the time-dependent magnetic flux through the loop. SchematicChoice : + = TB cos(ft)r² O = 27B cos(27 ft)r² O = TB cos(27 ft)r 1 B cos(2T ft)r² D = TB cos(27 f )r² = TB cos(27 ft)r² Part (b) Find the value of the magnetic flux through the loop, in webers, at time t = 0.102 s. Numeric : A numeric value is expected and not an expression. Part (c) Select the expression for the time-dependent emf induced in the loop based on the expression you entered in part (а).В. SchematicChoice : E = 2n² fr² B sin(27f) E= 2n² fr²B cos(27f) E = ar² B cos(27 ft) E = 2n² fr² B cos(2rft) E = 2n² fr²B sin(2n ft) = ar²B sin(27 ft) Part (d) Calculate the induced emf in the loop, in volts, at time t = 0.102 s. Numeric : A numeric value is expected and not an expression. Part (e) Select the expression for the induced current in the loop based on the expression you entered in part (c). SchematicChoice : 4n f2r³B 473 f²r³B - sin(27 ft) I = cos(27 ft) I= R sin(27 f) I = R I = 2n² fr² B sin(27f) I= 2n² fr² B sin(2rft) 27² fr²B I 2E ) sin(27 ft) R Part (f) Find the induced current in the loop, in amperes, at time t = 0.102 s. Numeric : A numeric value is expected and not an expression. I =
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