Magnetic field values are often determined by using a device known as a search coil . This technique depends on the measurement of the total charge passing through a coil in a time interval during which the magnetic flux linking the windings changes either because of the coil’s motion or because of a change in the value of B . (a) Show that as the flux through the coil changes from Φ 1 to Φ 2 , the charge transferred through the coil is given by Q = N (Φ 2 − Φ 1 )/ R , where R is the resistance of the coil and N is the number of turns. (b) As a specific example, calculate B when a total charge of 5.00 × 10 −4 C passes through a 100-turn coil of resistance 200 Ω and cross-sectional area 40.0 cm 2 as it is rotated in a uniform field from a position where the plane of the coil is perpendicular to the field to a position where it is parallel to the field.
Magnetic field values are often determined by using a device known as a search coil . This technique depends on the measurement of the total charge passing through a coil in a time interval during which the magnetic flux linking the windings changes either because of the coil’s motion or because of a change in the value of B . (a) Show that as the flux through the coil changes from Φ 1 to Φ 2 , the charge transferred through the coil is given by Q = N (Φ 2 − Φ 1 )/ R , where R is the resistance of the coil and N is the number of turns. (b) As a specific example, calculate B when a total charge of 5.00 × 10 −4 C passes through a 100-turn coil of resistance 200 Ω and cross-sectional area 40.0 cm 2 as it is rotated in a uniform field from a position where the plane of the coil is perpendicular to the field to a position where it is parallel to the field.
Solution Summary: The author explains that the charge transferred through the coil is Q, the resistance of the emf induced in the circuit, and the magnetic flux around the loop.
Magnetic field values are often determined by using a device known as a search coil. This technique depends on the measurement of the total charge passing through a coil in a time interval during which the magnetic flux linking the windings changes either because of the coil’s motion or because of a change in the value of B. (a) Show that as the flux through the coil changes from Φ1 to Φ2, the charge transferred through the coil is given by Q = N(Φ2 − Φ1)/R, where R is the resistance of the coil and N is the number of turns. (b) As a specific example, calculate B when a total charge of 5.00 × 10−4 C passes through a 100-turn coil of resistance 200 Ω and cross-sectional area 40.0 cm2 as it is rotated in a uniform field from a position where the plane of the coil is perpendicular to the field to a position where it is parallel to the field.
A beam of alpha-particles of energy 7.3MeV is used.The protons emitted at an angle of zero degree are found to have energy of 9.34MeV.Find the Q-value of this reaction .
An aluminum rod and a copper rod have the same length of 100cm at 5C. At what temperatures would one of the rods be 0.5 mm longer than the other? Which rod is longer at such temperature?
ROTATIONAL DYNAMICS
Question 01
A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling
together down the same inclined. Calculate the ratio of their kinetic energy. Assume pure
rolling motion Question 02
A sphere and cylinder of the same mass and radius start from ret at the same point and more
down the same plane inclined at 30° to the horizontal
Which body gets the bottom first and what is its acceleration
b) What angle of inclination of the plane is needed to give the slower body the same
acceleration
Question 03
i)
Define the angular velocity of a rotating body and give its SI unit
A car wheel has its angular velocity changing from 2rads to 30 rads
seconds. If the radius of the wheel is 400mm. calculate
ii)
The angular acceleration
iii)
The tangential linear acceleration of a point on the rim of the wheel
Question 04
in 20
Chapter 31 Solutions
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