Problem 6: These drawings illustrate various situations in which a magnetic field is directed out of the screen, and there is a corresponding magnetic flux through a single loop. In drawings (a) through (d), the magnetic field has a constant magnitude of B=51.2 mT. The radius and the resistance of the ring in drawings (c) and (e) are 7.8 cm and 7.6 2, respectively. In drawings (e) and (f), the rate at which the magnetic field is either increasing or decreasing has magnitude AB/At = 15 mT/s. * urrent. B increasing Part (c) In drawing (c), the circular conductive loop, which is in the plane of the screen, is entering the region of non-zero magnetic field with a speed of 0.50 m/s. Determine the magnitude, in milliamperes, of the average induced current during the interval from when the leading edge of the loop touches the boundary of that region until the entire ring is fully within it. Ic = 0.06 mA cos() sin() cotan() asin() tan() () 7 8 9 acos() ETA 4 5 6 atan() acotan() sinh) cosh() tanh() cotanh() Degrees O Radians /*123 0 + VO BACKSPACE Ie= mV cos() tan() asin() acos() E4 5 6 sinh() cotanh() sin() cotan atan() acotan()) cosh() tanh() Degrees Radians mA Part (d) If the speed of the moving conductive bar in drawing (d) is 1.2 m/s, and its length is 1.37 m, determine the magnitude, in millivolts, of the emf induced in the loop. /123 0 NO BACKSPACE (a) HOME (789 HOME (C) - END CLEAR END CLEAR (b) B (d) B decreasing Part (f) In drawing (e), the conductive loop is stationary, and the magnetic field is increasing. Determine the magnitude, in milliamperes, of the induced

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Chapter23: Faraday’s Law And Inductance
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Problem 6: These drawings illustrate various situations in which a magnetic field directed
out of the screen, and there is a corresponding magnetic flux through a single loop. In drawings (a)
through (d), the magnetic field has a constant magnitude of B=51.2 mT. The radius and the
resistance of the ring in drawings (c) and (e) are 7.8 cm and 7.6 , respectively. In drawings (e) and
(f), the rate at which the magnetic field is either increasing or decreasing has magnitude
AB/At 15 mT/s.
current.
mA
tan())
789
sin() cos()
cotan() asin() acos( ETAAL 4 5 6
atan()) acotan())
sinh()
cosh() tanh() cotanh()
Degrees O Radians
/*123
+0
Ie=
mV
Part (c) In drawing (c), the circular conductive loop, which is in the plane of the screen, is entering the region of non-zero magnetic field with a speed of
0.50 m/s. Determine the magnitude, in milliamperes, of the average induced current during the interval from when the leading edge of the loop touches the boundary
of that region until the entire ring is fully within it.
Ic= 0.06
mA
sin() cos( tan() T() 7 89 HOME
cotan() asin()) acos() EMA 4 5 6
atan() acotan() sinh()
cosh() tanh() cotanh()
ⒸDegrees O Radians
1 2 3
+
0
END
NO BACKSPACE DEL CLEAR
sin() cos() tan()
cotan() asin() acos()
atan() acotan() sinh()
cosh()
tanh() cotanh()
ⒸDegrees O Radians
(a)
T
(c)
B increasing
END
VO BACKSPACE L CLEAR
HOME
Part (d) If the speed of the moving conductive bar in drawing (d) is 1.2 m/s, and its length is 1.37 m, determine the magnitude, in millivolts, of the emf
induced in the loop.
E 4 5 6
1 2 3
0
-
tv
Part (f) In drawing (e), the conductive loop is stationary, and the magnetic field is increasing. Determine the magnitude, in milliamperes, of the induced
7 8 9 HOME
⠀
+
END
NO BACKSPACE DEL CLEAR
(b)
B
(d)
B decreasing
V
Transcribed Image Text:Problem 6: These drawings illustrate various situations in which a magnetic field directed out of the screen, and there is a corresponding magnetic flux through a single loop. In drawings (a) through (d), the magnetic field has a constant magnitude of B=51.2 mT. The radius and the resistance of the ring in drawings (c) and (e) are 7.8 cm and 7.6 , respectively. In drawings (e) and (f), the rate at which the magnetic field is either increasing or decreasing has magnitude AB/At 15 mT/s. current. mA tan()) 789 sin() cos() cotan() asin() acos( ETAAL 4 5 6 atan()) acotan()) sinh() cosh() tanh() cotanh() Degrees O Radians /*123 +0 Ie= mV Part (c) In drawing (c), the circular conductive loop, which is in the plane of the screen, is entering the region of non-zero magnetic field with a speed of 0.50 m/s. Determine the magnitude, in milliamperes, of the average induced current during the interval from when the leading edge of the loop touches the boundary of that region until the entire ring is fully within it. Ic= 0.06 mA sin() cos( tan() T() 7 89 HOME cotan() asin()) acos() EMA 4 5 6 atan() acotan() sinh() cosh() tanh() cotanh() ⒸDegrees O Radians 1 2 3 + 0 END NO BACKSPACE DEL CLEAR sin() cos() tan() cotan() asin() acos() atan() acotan() sinh() cosh() tanh() cotanh() ⒸDegrees O Radians (a) T (c) B increasing END VO BACKSPACE L CLEAR HOME Part (d) If the speed of the moving conductive bar in drawing (d) is 1.2 m/s, and its length is 1.37 m, determine the magnitude, in millivolts, of the emf induced in the loop. E 4 5 6 1 2 3 0 - tv Part (f) In drawing (e), the conductive loop is stationary, and the magnetic field is increasing. Determine the magnitude, in milliamperes, of the induced 7 8 9 HOME ⠀ + END NO BACKSPACE DEL CLEAR (b) B (d) B decreasing V
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