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(a) A nonferrous screwdriver is being used in a 2.00 Tmagnetic field. What maximum emf can be induced along its 12.0 cmlength when it moves at 6.00 m/s? (b) Is it likely that this emf will have any consequences or even be noticed?

Short Answer

Expert verified
  1. The emf induced is obtained as: 1.44 V .
  2. The emf will barely have any consequences.

Step by step solution

01

Given Data

Length of screw driver is 12.0 cm.

Velocity of screwdriver is 6 m/s

magnetic field is 2.00 T

02

Define Electromagnetic Induction

Motion of conductor inside an external magnetic field results in the induction of an emf which will oppose the motion of conductor. This phenomenon was discovered by Michael Faraday in 1831 and was called Electromagnetic Induction.

03

Evaluating the emf included(a)1

The motional emf will be simply given by the equation:

ε=BLv…â¶Ä¦â¶Ä¦â¶Ä¦â¶Ä¦â¶Ä¦â¶Ä¦â¶Ä¦(1)

The value of B is the magnetic field, the value of L is the length of the screwdriver, and the value of v is the velocity. Then, this yields a numerical value of:

ε=2.0T×0.12m×6m/s=1.44V

Therefore, the emf induced is: 1.44 V

04

Explanation of part(b)

These kinds of emf are not likely to have any consequences, but then also It would even be hard to notice.

Therefore, emf of this magnitude will barely have any consequences and will be noticeable.

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Most popular questions from this chapter

The 5.00 A current through a 1.50 H inductor is dissipated by a \({\rm{2}}{\rm{.00 \Omega }}\) resistor in a circuit like that in Figure 23.44 with the switch in position 2 . (a) What is the initial energy in the inductor? (b) How long will it take the current to decline to 5.00% of its initial value? (c) Calculate the average power dissipated, and compare it with the initial power dissipated by the resistor.

In a recording of voltages due to brain activity (an EEG), a 10.0 mVsignal with an 0.500Hz frequency is applied to a capacitor, producing a current of 100mA. Resistance is negligible. (a) What is the capacitance? (b) What is unreasonable about this result? (c) Which assumption or premise is responsible?

How do the multiple-loop coils and iron ring in the version of Faraday’s apparatus shown in Figure 23.3 enhance the observation of induced emf?

A precision laboratory resistor is made of a coil of wire \(1.50cm\) in diameter and \(4.00cm\) long, and it has \(500\) turns. (a) What is its self-inductance? (b) What average emf is induced if the \(12.0A\) current through it is turned on in \(5.00ms\) (one-fourth of a cycle for \(50Hz\) AC)? (c) What is its inductance if it is shortened to half its length and counter wound (two layers of \(250\) turns in opposite directions)?

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(e) When is it next one-fourth of its maximum?

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