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Chapter 23: Q2PE (page 860)

What is the value of the magnetic flux through the coil in figure b due to the wire?

Short Answer

Expert verified

The value of the magnetic flux coil is zero.

Step by step solution

01

Definition of Magnetic flux

The entire magnetic field that travels across a particular area is measured by magnetic flux. It's a helpful tool for describing the effects of the magnetic force on things in a specific location.

02

Calculate the value of flux

The flux created by a contour with an area\(A\)in a constant magnetic field\(B\)that makes an angle\(\phi \)with the plane of the contour can be expressed as,

\({\rm{\Phi = BAcos(}}\phi {\rm{)}}\)鈥︹�︹�︹�︹�︹�︹�︹��(1)

The angle in the given situation is the right angle, hence the flux will be zero from equation (1) because the cosine of a right angle \({\rm{90}}^\circ \)is zero.

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Most popular questions from this chapter

A large superconducting magnet, used for magnetic resonance imaging, has a \(50.0{\rm{ }}H\) inductance. If you want current through it to be adjustable with a \(1.00{\rm{ }}s\) characteristic time constant, what is the minimum resistance of system?

(a) An MRI technician moves his hand from a region of very low magnetic field strength into an MRI scanner鈥檚 2.00 T field with his fingers pointing in the direction of the field. Find the average emf induced in his wedding ring, given its diameter is 2.20 cm and assuming it takes 0.250 s to move it into the field. (b) Discuss whether this current would significantly change the temperature of the ring.

(a) What is the voltage output of a transformer used for rechargeable flashlight batteries, if its primary has\(500\)turns, its secondary\(4\)turns, and the input voltage is\(120{\rm{ }}V\)?

(b) What input current is required to produce a\(4.00A\)output?

(c) What is the power input?

Approximately how does the emf induced in the loop in Figure 23.57(b) depend on the distance of the center of the loop from the wire?

What is the peak emf generated by rotating a 1000-turn, \({\rm{5}}{\rm{.00 \times 1}}{{\rm{0}}^{{\rm{ - 5}}}}{\rm{ T}}\) diameter coil in the Earth鈥檚 magnetic field, given the plane of the coil is originally perpendicular to the Earth鈥檚 field and is rotated to be parallel to the field in \({\rm{10}}{\rm{.0 ms}}\)?
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