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Chapter 22: Q37PE (page 813)

A wire carrying a 30.0‐Acurrent passes between the poles of a strong magnet that is perpendicular to its field and experiences a 2.16‐Nforce on the 4.00cm of wire in the field. What is the average field strength?

Short Answer

Expert verified

The average field strength is1.80T

Step by step solution

01

Given information

The current of the lightning bolt1=30.0A

The magnetic force exerted isF=2.16N

The length of the wire isL=4.00cm1m100cm=4.00×10‐2m

02

Define magnetic force on

The magnetic force on a current-carrying conductor can be determined using the right-hand rule-1 such that, if fingers point towards the magnetic field and the thumb is in the direction of current then the palm will not be in the direction of magnetic force.

Quantitatively magnetic force can be estimated using the equation,

θ)=ILBsin( ………………(1)

03

Evaluating the force exerted

The direction of the current and the magnetic field is said to be perpendicular,

thereforesin(90∘)=1

Substituing the given data in the equation (1) will result in,

B=FIL=2.16N(4.00×10‐2m)×(30.0A)=1.80T

Therefore, the average field strength is 1.80T

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Most popular questions from this chapter

A 200-turn circular loop of radius50.0cmis vertical, with its axis on an east-west line. A current of 100 A circulates clockwise in the loop when viewed from the east. The Earth's field here is due north, parallel to the ground, with a strength of 3.00×10‐5T. What are the direction and magnitude of the torque on the loop? (b) Does this device have any practical applications as a motor?

A patient in an MRI unit turns his head quickly to one side and experiences momentary dizziness and a strange taste in his mouth. Discuss the possible causes.

Frustrated by the small Hall voltage obtained in blood flow measurements, a medical physicist decides to increase the applied magnetic field strength to get a\({\rm{0}}{\rm{.500}}\;{\rm{V}}\)output for blood moving at\({\rm{30}}{\rm{.0 cm/s}}\)in a\({\rm{1}}{\rm{.50}}\;{\rm{cm}}\)diameter vessel. (a) What magnetic field strength is needed? (b) What is unreasonable about this result? (c) Which premise is responsible?

Measurements affect the system being measured, such as the current loop in Figure 22.56

(a) Estimate the field the loop creates by calculating the field at the center of a circular loop 20.0 cm in diameter carrying 5.00A

(b) What is the smallest field strength this loop can be used to measure if its field must alter the measured field by less than0.0100%?

Measurements of the weak and fluctuating magnetic fields associated with brain activity are called magnetoencephalograms (MEGs). Do the brain’s magnetic fields imply coordinated or uncoordinated nerve impulses? Explain.
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